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<div role="navigation" aria-label="breadcrumbs navigation">
  <ul class="wy-breadcrumbs">
      
    <li>Layers</li>
  </ul>
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  <div class="section" id="layers">
<span id="api-v2-layer"></span><h1>Layers<a class="headerlink" href="#layers" title="Permalink to this headline"></a></h1>
<div class="section" id="data-layer">
<h2>Data layer<a class="headerlink" href="#data-layer" title="Permalink to this headline"></a></h2>
<div class="section" id="data">
<span id="api-v2-layer-data"></span><h3>data<a class="headerlink" href="#data" title="Permalink to this headline"></a></h3>
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<dl class="attribute">
188
<dt>
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<code class="descclassname">paddle.v2.layer.</code><code class="descname">data</code></dt>
<dd><p>alias of <code class="xref py py-class docutils literal"><span class="pre">name</span></code></p>
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</dd></dl>

</div>
</div>
<div class="section" id="fully-connected-layers">
<h2>Fully Connected Layers<a class="headerlink" href="#fully-connected-layers" title="Permalink to this headline"></a></h2>
<div class="section" id="fc">
<span id="api-v2-layer-fc"></span><h3>fc<a class="headerlink" href="#fc" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
201
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">fc</code></dt>
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<dd><p>The fully connected layer.</p>
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<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">fc</span> <span class="o">=</span> <span class="n">fc</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">,</span>
              <span class="n">size</span><span class="o">=</span><span class="mi">1024</span><span class="p">,</span>
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              <span class="n">act</span><span class="o">=</span><span class="n">paddle</span><span class="o">.</span><span class="n">v2</span><span class="o">.</span><span class="n">activation</span><span class="o">.</span><span class="n">Linear</span><span class="p">(),</span>
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              <span class="n">bias_attr</span><span class="o">=</span><span class="bp">False</span><span class="p">)</span>
</pre></div>
</div>
<p>which is equal to:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="k">with</span> <span class="n">mixed</span><span class="p">(</span><span class="n">size</span><span class="o">=</span><span class="mi">1024</span><span class="p">)</span> <span class="k">as</span> <span class="n">fc</span><span class="p">:</span>
    <span class="n">fc</span> <span class="o">+=</span> <span class="n">full_matrix_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
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<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
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<li><strong>input</strong> (<em>paddle.v2.config_base.Layer | list | tuple</em>) &#8211; The input of this layer.</li>
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<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of this layer.</li>
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<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation Type. paddle.v2.activation.Tanh is the default activation.</li>
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<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for details.</li>
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<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The bias attribute. If the parameter is set to False or an object
whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined. If the
parameter is set to True, the bias is initialized to zero.</li>
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<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute | None</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="selective-fc">
<h3>selective_fc<a class="headerlink" href="#selective-fc" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
248
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">selective_fc</code></dt>
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<dd><p>Selectived fully connected layer. Different from fc, the output
250
of this layer can be sparse. It requires an additional input to indicate
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several selected columns for output. If the selected columns is not
specified, selective_fc acts exactly like fc.</p>
<p>The simple usage is:</p>
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<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">sel_fc</span> <span class="o">=</span> <span class="n">selective_fc</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span> <span class="n">size</span><span class="o">=</span><span class="mi">128</span><span class="p">,</span> <span class="n">act</span><span class="o">=</span><span class="n">paddle</span><span class="o">.</span><span class="n">v2</span><span class="o">.</span><span class="n">activation</span><span class="o">.</span><span class="n">Tanh</span><span class="p">())</span>
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</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
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<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
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<li><strong>input</strong> (<em>paddle.v2.config_base.Layer | list | tuple</em>) &#8211; The input of this layer.</li>
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<li><strong>select</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The layer to select columns to output. It should be a sparse
binary matrix, and is treated as the mask of selective fc. If
it is not set or set to None, selective_fc acts exactly
like fc.</li>
<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of this layer, which should be equal to that of
the layer &#8216;select&#8217;.</li>
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type. paddle.v2.activation.Tanh is the default activation.</li>
<li><strong>pass_generation</strong> (<em>bool</em>) &#8211; The flag which indicates whether it is during generation.</li>
<li><strong>has_selected_colums</strong> (<em>bool</em>) &#8211; The flag which indicates whether the parameter &#8216;select&#8217;
has been set. True is the default.</li>
<li><strong>mul_ratio</strong> (<em>float</em>) &#8211; A ratio helps to judge how sparse the output is and determine
the computation method for speed consideration.</li>
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for
details.</li>
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<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The parameter attribute for bias. If this parameter is set to
False or an object whose type is not paddle.v2.attr.ParameterAttribute,
no bias is defined. If this parameter is set to True,
the bias is initialized to zero.</li>
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<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute | None</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
</div>
<div class="section" id="conv-layers">
<h2>Conv Layers<a class="headerlink" href="#conv-layers" title="Permalink to this headline"></a></h2>
<div class="section" id="conv-operator">
<h3>conv_operator<a class="headerlink" href="#conv-operator" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
305
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">conv_operator</code></dt>
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<dd><p>Different from img_conv, conv_op is an Operator, which can be used
in mixed. And conv_op takes two inputs to perform convolution.
The first input is the image and the second is filter kernel. It only
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supports GPU mode.</p>
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<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">op</span> <span class="o">=</span> <span class="n">conv_operator</span><span class="p">(</span><span class="n">img</span><span class="o">=</span><span class="n">input1</span><span class="p">,</span>
                   <span class="nb">filter</span><span class="o">=</span><span class="n">input2</span><span class="p">,</span>
                   <span class="n">filter_size</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span>
                   <span class="n">num_filters</span><span class="o">=</span><span class="mi">64</span><span class="p">,</span>
                   <span class="n">num_channels</span><span class="o">=</span><span class="mi">64</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
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<li><strong>img</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input image.</li>
<li><strong>filter</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input filter.</li>
<li><strong>filter_size</strong> (<em>int</em>) &#8211; The dimension of the filter kernel on the x axis.</li>
<li><strong>filter_size_y</strong> (<em>int</em>) &#8211; The dimension of the filter kernel on the y axis.
If the parameter is not set or set to None, it will
set to &#8216;filter_size&#8217; automatically.</li>
<li><strong>num_filters</strong> (<em>int</em>) &#8211; The number of the output channels.</li>
<li><strong>num_channels</strong> (<em>int</em>) &#8211; The number of the input channels. If the parameter is not set
or set to None, it will be automatically set to the channel
number of the &#8216;img&#8217;.</li>
<li><strong>stride</strong> (<em>int</em>) &#8211; The stride on the x axis.</li>
<li><strong>stride_y</strong> (<em>int</em>) &#8211; The stride on the y axis. If the parameter is not set or
set to None, it will be set to &#8216;stride&#8217; automatically.</li>
<li><strong>padding</strong> (<em>int</em>) &#8211; The padding size on the x axis.</li>
<li><strong>padding_y</strong> (<em>int</em>) &#8211; The padding size on the y axis. If the parameter is not set
or set to None, it will be set to &#8216;padding&#8217; automatically.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">A ConvOperator Object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">ConvOperator</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="conv-projection">
<h3>conv_projection<a class="headerlink" href="#conv-projection" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
357
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">conv_projection</code></dt>
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<dd><p>Different from img_conv and conv_op, conv_projection is a Projection,
which can be used in mixed and concat. It uses cudnn to implement
convolution and only supports GPU mode.</p>
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<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">proj</span> <span class="o">=</span> <span class="n">conv_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">input1</span><span class="p">,</span>
                       <span class="n">filter_size</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span>
                       <span class="n">num_filters</span><span class="o">=</span><span class="mi">64</span><span class="p">,</span>
                       <span class="n">num_channels</span><span class="o">=</span><span class="mi">64</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
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<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
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<li><strong>filter_size</strong> (<em>int | tuple | list</em>) &#8211; The dimensions of the filter kernel. If the parameter is
set to one integer, the two dimensions on x and y axises
will be same when filter_size_y is not set. If it is set
to a list, the first element indicates the dimension on
the x axis, and the second is used to specify the dimension
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on the y axis when filter_size_y is not provided.</li>
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<li><strong>filter_size_y</strong> (<em>int</em>) &#8211; The dimension of the filter kernel on the y axis. If the parameter
is not set, it will be set automatically according to filter_size.</li>
<li><strong>num_filters</strong> (<em>int</em>) &#8211; The number of filters.</li>
<li><strong>num_channels</strong> (<em>int</em>) &#8211; The number of the input channels.</li>
<li><strong>stride</strong> (<em>int | tuple | list</em>) &#8211; The strides. If the parameter is set to one integer, the strides
on x and y axises will be same when stride_y is not set. If it is
set to a list, the first element indicates the stride on the x axis,
and the second is used to specify the stride on the y axis when
stride_y is not provided.</li>
<li><strong>stride_y</strong> (<em>int</em>) &#8211; The stride on the y axis.</li>
<li><strong>padding</strong> (<em>int | tuple | list</em>) &#8211; The padding sizes. If the parameter is set to one integer, the padding
sizes on x and y axises will be same when padding_y is not set. If it
is set to a list, the first element indicates the padding size on the
x axis, and the second is used to specify the padding size on the y axis
when padding_y is not provided.</li>
<li><strong>padding_y</strong> (<em>int</em>) &#8211; The padding size on the y axis.</li>
396
<li><strong>groups</strong> (<em>int</em>) &#8211; The group number.</li>
397 398 399
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute of the convolution. See paddle.v2.attr.ParameterAttribute for
details.</li>
<li><strong>trans</strong> (<em>bool</em>) &#8211; Whether it is ConvTransProjection or ConvProjection</li>
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</ul>
</td>
</tr>
403
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">A Projection Object.</p>
404 405
</td>
</tr>
406
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">ConvTransProjection | ConvProjection</p>
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</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="conv-shift">
<h3>conv_shift<a class="headerlink" href="#conv-shift" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
418
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">conv_shift</code></dt>
419
<dd><dl class="docutils">
420
<dt>This layer performs cyclic convolution on two inputs. For example:</dt>
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<dd><ul class="first last simple">
<li>a[in]: contains M elements.</li>
<li>b[in]: contains N elements (N should be odd).</li>
<li>c[out]: contains M elements.</li>
</ul>
</dd>
</dl>
<div class="math">
\[c[i] = \sum_{j=-(N-1)/2}^{(N-1)/2}a_{i+j} * b_{j}\]</div>
<dl class="docutils">
431
<dt>In this formula:</dt>
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<dd><ul class="first last simple">
<li>a&#8217;s index is computed modulo M. When it is negative, then get item from
the right side (which is the end of array) to the left.</li>
<li>b&#8217;s index is computed modulo N. When it is negative, then get item from
the right size (which is the end of array) to the left.</li>
</ul>
</dd>
</dl>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">conv_shift</span> <span class="o">=</span> <span class="n">conv_shift</span><span class="p">(</span><span class="n">a</span><span class="o">=</span><span class="n">layer1</span><span class="p">,</span> <span class="n">b</span><span class="o">=</span><span class="n">layer2</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
449
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
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<li><strong>a</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input of this layer.</li>
<li><strong>b</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The second input of this layer.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="img-conv">
<h3>img_conv<a class="headerlink" href="#img-conv" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
472
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">img_conv</code></dt>
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<dd><p>Convolution layer for image. Paddle can support both square and non-square
input currently.</p>
<p>The details of convolution layer, please refer UFLDL&#8217;s <a class="reference external" href="http://ufldl.stanford.edu/tutorial/supervised/FeatureExtractionUsingConvolution/">convolution</a> .</p>
<p>Convolution Transpose (deconv) layer for image. Paddle can support both square
and non-square input currently.</p>
<p>The details of convolution transpose layer,
please refer to the following explanation and references therein
&lt;<a class="reference external" href="http://datascience.stackexchange.com/questions/6107/">http://datascience.stackexchange.com/questions/6107/</a>
what-are-deconvolutional-layers/&gt;`_ .
The num_channel means input image&#8217;s channel number. It may be 1 or 3 when
input is raw pixels of image(mono or RGB), or it may be the previous layer&#8217;s
484
num_filters.</p>
485
<p>There are several groups of filters in PaddlePaddle implementation.
486 487 488 489 490 491 492 493 494
If the groups attribute is greater than 1, for example groups=2,
the input will be splitted into 2 parts along the channel axis, and
the filters will also be splitted into 2 parts. The first half of the filters
is only connected to the first half of the input channels, while the second
half of the filters is only connected to the second half of the input. After
the computation of convolution for each part of input,
the output will be obtained by concatenating the two results.</p>
<p>The details of grouped convolution, please refer to:
<a class="reference external" href="http://www.cs.toronto.edu/~kriz/imagenet_classification_with_deep_convolutional.pdf">ImageNet Classification with Deep Convolutional Neural Networks</a></p>
495 496 497 498 499
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">conv</span> <span class="o">=</span> <span class="n">img_conv</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">data</span><span class="p">,</span> <span class="n">filter_size</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">filter_size_y</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span>
                      <span class="n">num_channels</span><span class="o">=</span><span class="mi">8</span><span class="p">,</span>
                      <span class="n">num_filters</span><span class="o">=</span><span class="mi">16</span><span class="p">,</span> <span class="n">stride</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span>
                      <span class="n">bias_attr</span><span class="o">=</span><span class="bp">False</span><span class="p">,</span>
500
                      <span class="n">act</span><span class="o">=</span><span class="n">paddle</span><span class="o">.</span><span class="n">v2</span><span class="o">.</span><span class="n">activation</span><span class="o">.</span><span class="n">Relu</span><span class="p">())</span>
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</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
508
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
509
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
510 511 512 513 514 515 516 517
<li><strong>filter_size</strong> (<em>int | tuple | list</em>) &#8211; The dimensions of the filter kernel. If the parameter is
set to one integer, the two dimensions on x and y axises
will be same when filter_size_y is not set. If it is set
to a list, the first element indicates the dimension on
the x axis, and the second is used to specify the dimension
on the y axis when filter_size_y is not provided.</li>
<li><strong>filter_size_y</strong> (<em>int</em>) &#8211; The dimension of the filter kernel on the y axis. If the parameter
is not set, it will be set automatically according to filter_size.</li>
518
<li><strong>num_filters</strong> (<em>int</em>) &#8211; The number of filters. It is as same as the output image channel.</li>
519
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type. paddle.v2.activation.Relu is the default activation.</li>
520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538
<li><strong>groups</strong> (<em>int</em>) &#8211; The group number. 1 is the default group number.</li>
<li><strong>stride</strong> (<em>int | tuple | list</em>) &#8211; The strides. If the parameter is set to one integer, the strides
on x and y axises will be same when stride_y is not set. If it is
set to a list, the first element indicates the stride on the x axis,
and the second is used to specify the stride on the y axis when
stride_y is not provided. 1 is the default value.</li>
<li><strong>stride_y</strong> (<em>int</em>) &#8211; The stride on the y axis.</li>
<li><strong>padding</strong> (<em>int | tuple | list</em>) &#8211; The padding sizes. If the parameter is set to one integer, the padding
sizes on x and y axises will be same when padding_y is not set. If it
is set to a list, the first element indicates the padding size on the
x axis, and the second is used to specify the padding size on the y axis
when padding_y is not provided. 0 is the default padding size.</li>
<li><strong>padding_y</strong> (<em>int</em>) &#8211; The padding size on the y axis.</li>
<li><strong>dilation</strong> (<em>int | tuple | list</em>) &#8211; The dimensions of the dilation. If the parameter is set to one integer,
the two dimensions on x and y axises will be same when dilation_y is not
set. If it is set to a list, the first element indicates the dimension
on the x axis, and the second is used to specify the dimension on the y
axis when dilation_y is not provided. 1 is the default dimension.</li>
<li><strong>dilation_y</strong> (<em>int</em>) &#8211; The dimension of the dilation on the y axis.</li>
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<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The bias attribute. If the parameter is set to False or an object
whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined. If the
parameter is set to True, the bias is initialized to zero.</li>
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<li><strong>num_channels</strong> (<em>int</em>) &#8211; The number of input channels. If the parameter is not set or
set to None, its actual value will be automatically set to
the channel number of the input.</li>
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for
details.</li>
<li><strong>shared_biases</strong> (<em>bool</em>) &#8211; Whether biases will be shared between filters or not.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attributes. See paddle.v2.attr.ExtraAttribute for
details.</li>
<li><strong>trans</strong> (<em>bool</em>) &#8211; True if it is a convTransLayer, False if it is a convLayer</li>
<li><strong>layer_type</strong> (<em>basestring</em>) &#8211; Specify the layer type. If the dilation&#8217;s dimension on one axis is
larger than 1, layer_type has to be &#8220;cudnn_conv&#8221; or &#8220;cudnn_convt&#8221;.
If trans=True, layer_type has to be &#8220;exconvt&#8221; or &#8220;cudnn_convt&#8221;,
otherwise layer_type has to be either &#8220;exconv&#8221; or &#8220;cudnn_conv&#8221;.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="context-projection">
<span id="api-v2-layer-context-projection"></span><h3>context_projection<a class="headerlink" href="#context-projection" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
573
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">context_projection</code></dt>
574
<dd><p>Context Projection.</p>
575 576 577
<p>It just reorganizes input sequence, combines &#8220;context_len&#8221; elements of the
sequence to one context from context_start. &#8220;context_start&#8221; will be set to
-(context_len - 1) / 2 by default. When context position is out of sequence
578 579
length, padding will be filled as zero if padding_attr = False, otherwise
it is trainable.</p>
580 581
<p>For example, origin sequence is [A B C D E F G], context len is 3, padding_attr
is not set, then after context projection, sequence will
582 583 584 585 586 587
be [ 0AB ABC BCD CDE DEF EFG FG0 ].</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
588
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer, which should be a sequence.</li>
589 590
<li><strong>context_len</strong> (<em>int</em>) &#8211; The length of the context.</li>
<li><strong>context_start</strong> (<em>int</em>) &#8211; The start position of the context. The default value is
591
-(context_len - 1)/2</li>
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<li><strong>padding_attr</strong> (<em>bool | paddle.v2.attr.ParameterAttribute</em>) &#8211; Parameter attribute of the padding. If the parameter is
set to False, padding will be zero. In other cases, the
padding is trainable, and its parameter attribute is set
by this parameter.</li>
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</ul>
</td>
</tr>
599
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Projection object.</p>
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</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">Projection</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

609 610 611 612 613 614 615
</div>
<div class="section" id="row-conv">
<h3>row_conv<a class="headerlink" href="#row-conv" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">row_conv</code></dt>
<dd><p>The row convolution is called lookahead convolution. It is firstly
616
introduced in paper of <a class="reference external" href="https://arxiv.org/pdf/1512.02595v1.pdf">Deep Speech 2: End-to-End Speech Recognition
617 618 619 620 621 622
in English and Mandarin</a> .</p>
<p>The bidirectional RNN that learns representation for a sequence by
performing a forward and a backward pass through the entire sequence.
However, unlike unidirectional RNNs, bidirectional RNNs are challenging
to deploy in an online and low-latency setting. The lookahead convolution
incorporates information from future subsequences in a computationally
623 624
efficient manner to improve unidirectional RNNs.</p>
<p>The connection of row convolution is different from the 1D sequence
625 626 627 628 629 630
convolution. Assumed that, the future context-length is k, that is to say,
it can get the output at timestep t by using the the input feature from t-th
timestep to (t+k+1)-th timestep. Assumed that the hidden dim of input
activations are d, the activations r_t for the new layer at time-step t are:</p>
<div class="math">
\[r_{t,r} = \sum_{j=1}^{k + 1} {w_{i,j}h_{t+j-1, i}}
631
          \quad \text{for} \quad  (1 \leq i \leq d)\]</div>
632 633 634 635 636 637 638 639 640 641 642 643 644
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">The <cite>context_len</cite> is <cite>k + 1</cite>. That is to say, the lookahead step
number plus one equals context_len.</p>
</div>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">row_conv</span> <span class="o">=</span> <span class="n">row_conv</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span> <span class="n">context_len</span><span class="o">=</span><span class="mi">3</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
645
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
646 647
<li><strong>context_len</strong> (<em>int</em>) &#8211; The context length equals the lookahead step number
plus one.</li>
648
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation Type. paddle.v2.activation.Linear is the default activation.</li>
649 650 651 652
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for
details.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute | None</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

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</div>
</div>
<div class="section" id="image-pooling-layer">
<h2>Image Pooling Layer<a class="headerlink" href="#image-pooling-layer" title="Permalink to this headline"></a></h2>
<div class="section" id="img-pool">
<h3>img_pool<a class="headerlink" href="#img-pool" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
674
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">img_pool</code></dt>
675
<dd><p>Image pooling Layer.</p>
676
<p>The details of pooling layer, please refer to ufldl&#8217;s <a class="reference external" href="http://ufldl.stanford.edu/tutorial/supervised/Pooling/">pooling</a> .</p>
677 678 679 680
<ul class="simple">
<li>ceil_mode=True:</li>
</ul>
<div class="math">
681 682
\[ \begin{align}\begin{aligned}w &amp; = 1 + \frac{ceil(input\_width + 2 * padding - pool\_size)}{stride}\\h &amp; = 1 + \frac{ceil(input\_height + 2 * padding\_y - pool\_size\_y)}{stride\_y}\end{aligned}\end{align} \]</div>
<ul class="simple">
683 684 685
<li>ceil_mode=False:</li>
</ul>
<div class="math">
686 687
\[ \begin{align}\begin{aligned}w &amp; = 1 + \frac{floor(input\_width + 2 * padding - pool\_size)}{stride}\\h &amp; = 1 + \frac{floor(input\_height + 2 * padding\_y - pool\_size\_y)}{stride\_y}\end{aligned}\end{align} \]</div>
<p>The example usage is:</p>
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<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">maxpool</span> <span class="o">=</span> <span class="n">img_pool</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">conv</span><span class="p">,</span>
                         <span class="n">pool_size</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span>
                         <span class="n">pool_size_y</span><span class="o">=</span><span class="mi">5</span><span class="p">,</span>
                         <span class="n">num_channels</span><span class="o">=</span><span class="mi">8</span><span class="p">,</span>
                         <span class="n">stride</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span>
                         <span class="n">stride_y</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span>
                         <span class="n">padding</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span>
                         <span class="n">padding_y</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span>
                         <span class="n">pool_type</span><span class="o">=</span><span class="n">MaxPooling</span><span class="p">())</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
703 704 705 706 707 708 709 710
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>padding</strong> (<em>int</em>) &#8211; The padding size on the x axis. 0 is the default padding size.</li>
<li><strong>padding_y</strong> &#8211; The padding size on the y axis. If the parameter is not set
or set to None, it will be set to &#8216;padding&#8217; automatically.</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
<li><strong>pool_size</strong> (<em>int</em>) &#8211; The pooling window length on the x axis.</li>
<li><strong>pool_size_y</strong> (<em>int</em>) &#8211; The pooling window length on the y axis. If the parameter is
711
not set or set to None, its actual value will be automatically
712 713
set to pool_size.</li>
<li><strong>num_channels</strong> (<em>int</em>) &#8211; The number of input channels. If the parameter is not set or
714
set to None, its actual value will be automatically set to
715 716 717 718 719 720 721 722
the channels number of the input.</li>
<li><strong>pool_type</strong> (<em>BasePoolingType</em>) &#8211; Pooling type. MaxPooling is the default pooling.</li>
<li><strong>stride</strong> (<em>int</em>) &#8211; The stride on the x axis. 1 is the default value.</li>
<li><strong>stride_y</strong> (<em>int</em>) &#8211; The stride on the y axis. If the parameter is not set or set to
None, its actual value will be automatically set to &#8216;stride&#8217;.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
<li><strong>ceil_mode</strong> (<em>bool</em>) &#8211; Whether to use the ceil function to calculate output height and width.
723
True is the default. If it is set to False, the floor function will
724 725
be used.</li>
<li><strong>exclude_mode</strong> (<em>bool</em>) &#8211; Whether to exclude the padding cells when calculating, but only
726 727
work when pool_type is AvgPooling. If None, also exclude the padding
cells. If use cudnn, use CudnnAvgPooling or CudnnAvgInclPadPooling
728 729 730
as pool_type to identify the mode.</li>
</ul>
</td>
731
</tr>
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<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
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</tr>
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<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
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</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="spp">
<h3>spp<a class="headerlink" href="#spp" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
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<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">spp</code></dt>
748 749 750
<dd><p>A layer performs spatial pyramid pooling.</p>
<dl class="docutils">
<dt>Reference:</dt>
751
<dd><a class="reference external" href="https://arxiv.org/abs/1406.4729">Spatial Pyramid Pooling in Deep Convolutional Networks for Visual Recognition</a></dd>
752
</dl>
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<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">spp</span> <span class="o">=</span> <span class="n">spp</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">data</span><span class="p">,</span>
                <span class="n">pyramid_height</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span>
                <span class="n">num_channels</span><span class="o">=</span><span class="mi">16</span><span class="p">,</span>
                <span class="n">pool_type</span><span class="o">=</span><span class="n">MaxPooling</span><span class="p">())</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
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<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
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<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
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<li><strong>num_channels</strong> (<em>int</em>) &#8211; The number of input channels. If the parameter is not set or
set to None, its actual value will be automatically set to
the channels number of the input.</li>
<li><strong>pool_type</strong> &#8211; Pooling type. MaxPooling is the default pooling.</li>
<li><strong>pyramid_height</strong> (<em>int</em>) &#8211; The pyramid height of this pooling.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="maxout">
<h3>maxout<a class="headerlink" href="#maxout" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
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<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">maxout</code></dt>
793
<dd><dl class="docutils">
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<dt>A layer to do max out on convolutional layer output.</dt>
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<dd><ul class="first last simple">
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<li>Input: the output of a convolutional layer.</li>
<li>Output: feature map size same as the input&#8217;s, and its channel number is
(input channel) / groups.</li>
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</ul>
</dd>
</dl>
<p>So groups should be larger than 1, and the num of channels should be able
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to be devided by groups.</p>
<dl class="docutils">
<dt>Reference:</dt>
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<dd><a class="reference external" href="http://www.jmlr.org/proceedings/papers/v28/goodfellow13.pdf">Maxout Networks</a>
<a class="reference external" href="https://arxiv.org/pdf/1312.6082v4.pdf">Multi-digit Number Recognition from Street View Imagery using Deep Convolutional Neural Networks</a></dd>
808
</dl>
809
<div class="math">
810
\[ \begin{align}\begin{aligned}&amp; out = \max_k (in[n, k, o_c , s])\\&amp; out_{i * s + j} = \max_k in_{  k * o_{c} * s + i * s + j}\\&amp; s = \frac{input.size}{ num\_channels}\\&amp; o_{c} = \frac{num\_channels}{groups}\\&amp; 0 \le i &lt; o_{c}\\&amp; 0 \le j &lt; s\\&amp; 0 \le k &lt; groups\end{aligned}\end{align} \]</div>
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<p>The simple usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">maxout</span> <span class="o">=</span> <span class="n">maxout</span><span class="p">(</span><span class="nb">input</span><span class="p">,</span>
                      <span class="n">num_channels</span><span class="o">=</span><span class="mi">128</span><span class="p">,</span>
                      <span class="n">groups</span><span class="o">=</span><span class="mi">4</span><span class="p">)</span>
</pre></div>
</div>
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<table class="docutils field-list" frame="void" rules="none">
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<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
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<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
<li><strong>num_channels</strong> (<em>int</em>) &#8211; The number of input channels. If the parameter is not set or
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set to None, its actual value will be automatically set to
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the channels number of the input.</li>
<li><strong>groups</strong> (<em>int</em>) &#8211; The group number of input layer.</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
</ul>
</td>
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</tr>
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<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
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</tr>
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<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
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</tr>
</tbody>
</table>
</dd></dl>

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</div>
<div class="section" id="roi-pool">
<h3>roi_pool<a class="headerlink" href="#roi-pool" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">roi_pool</code></dt>
<dd><p>A layer used by Fast R-CNN to extract feature maps of ROIs from the last
feature map.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
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<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
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<li><strong>input</strong> (<em>paddle.v2.config_base.Layer.</em>) &#8211; The input layer.</li>
<li><strong>rois</strong> (<em>paddle.v2.config_base.Layer.</em>) &#8211; The input ROIs&#8217; data.</li>
<li><strong>pooled_width</strong> (<em>int</em>) &#8211; The width after pooling.</li>
<li><strong>pooled_height</strong> (<em>int</em>) &#8211; The height after pooling.</li>
<li><strong>spatial_scale</strong> (<em>float</em>) &#8211; The spatial scale between the image and feature map.</li>
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<li><strong>num_channels</strong> (<em>int</em>) &#8211; The number of the input channels.</li>
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</ul>
</td>
</tr>
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<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
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</td>
</tr>
</tbody>
</table>
</dd></dl>

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</div>
<div class="section" id="pad">
<h3>pad<a class="headerlink" href="#pad" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">pad</code></dt>
<dd><p>This operation pads zeros to the input data according to pad_c,pad_h
and pad_w. pad_c, pad_h, pad_w specify the size in the corresponding
dimension. And the input data shape is NCHW.</p>
<p>For example, pad_c=[2,3] means padding 2 zeros before the input data
and 3 zeros after the input data in the channel dimension. pad_h means
padding zeros in the height dimension. pad_w means padding zeros in the
width dimension.</p>
<p>For example,</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="nb">input</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span><span class="mi">2</span><span class="p">,</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">)</span>  <span class="o">=</span> <span class="p">[</span>
                    <span class="p">[</span> <span class="p">[[</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">],</span> <span class="p">[</span><span class="mi">3</span><span class="p">,</span><span class="mi">4</span><span class="p">,</span><span class="mi">5</span><span class="p">]],</span>
                      <span class="p">[[</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">5</span><span class="p">],</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">6</span><span class="p">,</span><span class="mi">7</span><span class="p">]]</span> <span class="p">],</span>
                    <span class="p">[</span> <span class="p">[[</span><span class="mi">4</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">],</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">8</span><span class="p">,</span><span class="mi">7</span><span class="p">]],</span>
                      <span class="p">[[</span><span class="mi">3</span><span class="p">,</span><span class="mi">8</span><span class="p">,</span><span class="mi">9</span><span class="p">],</span> <span class="p">[</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">5</span><span class="p">]]</span> <span class="p">]</span>
                  <span class="p">]</span>

<span class="n">pad_c</span><span class="o">=</span><span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">],</span> <span class="n">pad_h</span><span class="o">=</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],</span> <span class="n">pad_w</span><span class="o">=</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]</span>

<span class="n">output</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span><span class="mi">4</span><span class="p">,</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">)</span> <span class="o">=</span> <span class="p">[</span>
                    <span class="p">[</span> <span class="p">[[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]],</span>
                      <span class="p">[[</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">],</span> <span class="p">[</span><span class="mi">3</span><span class="p">,</span><span class="mi">4</span><span class="p">,</span><span class="mi">5</span><span class="p">]],</span>
                      <span class="p">[[</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">5</span><span class="p">],</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">6</span><span class="p">,</span><span class="mi">7</span><span class="p">]],</span>
                      <span class="p">[[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]]</span> <span class="p">],</span>
                    <span class="p">[</span> <span class="p">[[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]],</span>
                      <span class="p">[[</span><span class="mi">4</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">],</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span><span class="mi">8</span><span class="p">,</span><span class="mi">7</span><span class="p">]],</span>
                      <span class="p">[[</span><span class="mi">3</span><span class="p">,</span><span class="mi">8</span><span class="p">,</span><span class="mi">9</span><span class="p">],</span> <span class="p">[</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">5</span><span class="p">]],</span>
                      <span class="p">[[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">]]</span> <span class="p">]</span>
                  <span class="p">]</span>
</pre></div>
</div>
<p>The simply usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">pad</span> <span class="o">=</span> <span class="n">pad</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">ipt</span><span class="p">,</span>
                <span class="n">pad_c</span><span class="o">=</span><span class="p">[</span><span class="mi">4</span><span class="p">,</span><span class="mi">4</span><span class="p">],</span>
                <span class="n">pad_h</span><span class="o">=</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">],</span>
                <span class="n">pad_w</span><span class="o">=</span><span class="p">[</span><span class="mi">2</span><span class="p">,</span><span class="mi">2</span><span class="p">])</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
<li><strong>pad_c</strong> (<em>list | None</em>) &#8211; The padding size in the channel dimension.</li>
<li><strong>pad_h</strong> (<em>list | None</em>) &#8211; The padding size in the height dimension.</li>
<li><strong>pad_w</strong> (<em>list | None</em>) &#8211; The padding size in the width dimension.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

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</div>
</div>
<div class="section" id="norm-layer">
<h2>Norm Layer<a class="headerlink" href="#norm-layer" title="Permalink to this headline"></a></h2>
<div class="section" id="img-cmrnorm">
<h3>img_cmrnorm<a class="headerlink" href="#img-cmrnorm" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
951
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">img_cmrnorm</code></dt>
952 953 954
<dd><p>Response normalization across feature maps.</p>
<dl class="docutils">
<dt>Reference:</dt>
955
<dd><a class="reference external" href="http://www.cs.toronto.edu/~fritz/absps/imagenet.pdf">ImageNet Classification with Deep Convolutional Neural Networks</a></dd>
956
</dl>
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<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">norm</span> <span class="o">=</span> <span class="n">img_cmrnorm</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">net</span><span class="p">,</span> <span class="n">size</span><span class="o">=</span><span class="mi">5</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
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<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
967
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
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<li><strong>size</strong> (<em>int</em>) &#8211; Normalize in number of <span class="math">\(size\)</span> feature maps.</li>
<li><strong>scale</strong> (<em>float</em>) &#8211; The hyper-parameter.</li>
<li><strong>power</strong> (<em>float</em>) &#8211; The hyper-parameter.</li>
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<li><strong>num_channels</strong> &#8211; The number of input channels. If the parameter is not set or
set to None, its actual value will be automatically set to
the channels number of the input.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attributes. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="batch-norm">
<h3>batch_norm<a class="headerlink" href="#batch-norm" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
994
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">batch_norm</code></dt>
995
<dd><p>Batch Normalization Layer. The notation of this layer is as follows.</p>
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<p><span class="math">\(x\)</span> is the input features over a mini-batch.</p>
<div class="math">
\[\begin{split}\mu_{\beta} &amp;\gets \frac{1}{m} \sum_{i=1}^{m} x_i \qquad &amp;//\
\ mini-batch\ mean \\
\sigma_{\beta}^{2} &amp;\gets \frac{1}{m} \sum_{i=1}^{m}(x_i - \
\mu_{\beta})^2 \qquad &amp;//\ mini-batch\ variance \\
\hat{x_i} &amp;\gets \frac{x_i - \mu_\beta} {\sqrt{\
\sigma_{\beta}^{2} + \epsilon}} \qquad &amp;//\ normalize \\
y_i &amp;\gets \gamma \hat{x_i} + \beta \qquad &amp;//\ scale\ and\ shift\end{split}\]</div>
1005 1006
<dl class="docutils">
<dt>Reference:</dt>
1007 1008
<dd><a class="reference external" href="http://arxiv.org/abs/1502.03167">Batch Normalization: Accelerating Deep Network Training by Reducing
Internal Covariate Shift</a></dd>
1009
</dl>
1010
<p>The example usage is:</p>
1011
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">norm</span> <span class="o">=</span> <span class="n">batch_norm</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">net</span><span class="p">,</span> <span class="n">act</span><span class="o">=</span><span class="n">paddle</span><span class="o">.</span><span class="n">v2</span><span class="o">.</span><span class="n">activation</span><span class="o">.</span><span class="n">Relu</span><span class="p">())</span>
1012 1013 1014 1015 1016 1017 1018
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
1019
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
1020
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; This layer&#8217;s input which is to be performed batch normalization on.</li>
1021 1022 1023 1024 1025 1026
<li><strong>batch_norm_type</strong> (<em>None | string</em><em>, </em><em>None</em><em> or </em><em>&quot;batch_norm&quot;</em><em> or </em><em>&quot;cudnn_batch_norm&quot;</em><em>
or </em><em>&quot;mkldnn_batch_norm&quot;</em>) &#8211; We have batch_norm, mkldnn_batch_norm and cudnn_batch_norm.
batch_norm supports CPU, MKLDNN and GPU. cudnn_batch_norm
requires cuDNN version greater or equal to v4 (&gt;=v4).
But cudnn_batch_norm is faster and needs less
memory than batch_norm. mkldnn_batch_norm requires
1027 1028
use_mkldnn is enabled. By default (None), we will
automatically select cudnn_batch_norm for GPU,
1029
mkldnn_batch_norm for MKLDNN and batch_norm for CPU.
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Users can specify the batch norm type. If you use
cudnn_batch_norm, we suggested you use latest version,
such as v5.1.</li>
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type. paddle.v2.activation.Relu is the default activation.</li>
<li><strong>num_channels</strong> (<em>int</em>) &#8211; The number of input channels. If the parameter is not set or
set to None, its actual value will be automatically set to
the channels number of the input.</li>
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; <span class="math">\(\beta\)</span>. The bias attribute. If the parameter is set to
False or an object whose type is not paddle.v2.attr.ParameterAttribute, no
bias is defined. If the parameter is set to True, the bias is
initialized to zero.</li>
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; <span class="math">\(\gamma\)</span>. The parameter attribute. See paddle.v2.attr.ParameterAttribute
for details.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
<li><strong>use_global_stats</strong> (<em>bool | None.</em>) &#8211; Whether use moving mean/variance statistics during
testing peroid. If the parameter is set to None or
True, it will use moving mean/variance statistics
during testing. If the parameter is set to False, it
will use the mean and variance of the current batch
of test data.</li>
1051
<li><strong>epsilon</strong> (<em>float.</em>) &#8211; The small constant added to the variance to improve numeric stability.</li>
1052 1053
<li><strong>moving_average_fraction</strong> (<em>float.</em>) &#8211; Factor used in the moving average computation.
<span class="math">\(runningMean = newMean*(1-factor) + runningMean*factor\)</span></li>
1054
<li><strong>mean_var_names</strong> (<em>string list</em>) &#8211; [mean name, variance name]</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="sum-to-one-norm">
<h3>sum_to_one_norm<a class="headerlink" href="#sum-to-one-norm" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
1073
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">sum_to_one_norm</code></dt>
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<dd><p>A layer for sum-to-one normalization,
which is used in NEURAL TURING MACHINE.</p>
<div class="math">
\[out[i] = \frac {in[i]} {\sum_{k=1}^N in[k]}\]</div>
<p>where <span class="math">\(in\)</span> is a (batchSize x dataDim) input vector,
and <span class="math">\(out\)</span> is a (batchSize x dataDim) output vector.</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">sum_to_one_norm</span> <span class="o">=</span> <span class="n">sum_to_one_norm</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
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<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
1090
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
1091 1092
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute
for details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

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</div>
<div class="section" id="cross-channel-norm">
<h3>cross_channel_norm<a class="headerlink" href="#cross-channel-norm" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
1111
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">cross_channel_norm</code></dt>
1112 1113 1114 1115
<dd><p>Normalize a layer&#8217;s output. This layer is necessary for ssd. This
layer applys normalization across the channels of each sample to
a convolutional layer&#8217;s output and scales the output by a group of
trainable factors whose dimensions equal to the channel&#8217;s number.</p>
1116 1117 1118 1119 1120
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
1121
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
1122
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
1123
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for details.</li>
1124 1125 1126
</ul>
</td>
</tr>
1127 1128 1129 1130
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
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</td>
</tr>
</tbody>
</table>
</dd></dl>

1137 1138 1139 1140 1141 1142
</div>
<div class="section" id="row-l2-norm">
<h3>row_l2_norm<a class="headerlink" href="#row-l2-norm" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">row_l2_norm</code></dt>
1143
<dd><p>A layer for L2-normalization in each row.</p>
1144
<div class="math">
1145 1146
\[out[i] = \frac{in[i]} {\sqrt{\sum_{k=1}^N in[k]^{2}}}\]</div>
<p>where the size of <span class="math">\(in\)</span> is (batchSize x dataDim) ,
1147 1148 1149 1150 1151 1152 1153 1154 1155
and the size of <span class="math">\(out\)</span> is a (batchSize x dataDim) .</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">row_l2_norm</span> <span class="o">=</span> <span class="n">row_l2_norm</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
1156 1157 1158 1159 1160 1161 1162
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute
for details.</li>
</ul>
</td>
1163
</tr>
1164 1165
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
1166
</tr>
1167 1168
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
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</tr>
</tbody>
</table>
</dd></dl>

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</div>
</div>
<div class="section" id="recurrent-layers">
<h2>Recurrent Layers<a class="headerlink" href="#recurrent-layers" title="Permalink to this headline"></a></h2>
<div class="section" id="recurrent">
<h3>recurrent<a class="headerlink" href="#recurrent" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
1182
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">recurrent</code></dt>
1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197
<dd><p>Simple recurrent unit layer. It is just a fully connect layer through both
time and neural network.</p>
<p>For each sequence [start, end] it performs the following computation:</p>
<div class="math">
\[\begin{split}out_{i} = act(in_{i})     \      \      \text{for} \ i = start \\
out_{i} = act(in_{i} + out_{i-1} * W) \ \ \text{for} \ start &lt; i &lt;= end\end{split}\]</div>
<p>If reversed is true, the order is reversed:</p>
<div class="math">
\[\begin{split}out_{i} = act(in_{i})           \    \   \text{for} \ i = end  \\
out_{i} = act(in_{i} + out_{i+1} * W) \ \ \text{for} \ start &lt;= i &lt; end\end{split}\]</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
1198
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
1199
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type. paddle.v2.activation.Tanh is the default activation.</li>
1200 1201 1202 1203
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The parameter attribute for bias. If this parameter is set to
False or an object whose type is not paddle.v2.attr.ParameterAttribute,
no bias is defined. If the parameter is set to True,
the bias is initialized to zero.</li>
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<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for
details.</li>
1206
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
1207 1208
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="lstmemory">
<h3>lstmemory<a class="headerlink" href="#lstmemory" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
1227
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">lstmemory</code></dt>
1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239
<dd><p>Long Short-term Memory Cell.</p>
<p>The memory cell was implemented as follow equations.</p>
<div class="math">
\[ \begin{align}\begin{aligned}i_t &amp; = \sigma(W_{xi}x_{t} + W_{hi}h_{t-1} + W_{ci}c_{t-1} + b_i)\\f_t &amp; = \sigma(W_{xf}x_{t} + W_{hf}h_{t-1} + W_{cf}c_{t-1} + b_f)\\c_t &amp; = f_tc_{t-1} + i_t tanh (W_{xc}x_t+W_{hc}h_{t-1} + b_c)\\o_t &amp; = \sigma(W_{xo}x_{t} + W_{ho}h_{t-1} + W_{co}c_t + b_o)\\h_t &amp; = o_t tanh(c_t)\end{aligned}\end{align} \]</div>
<p>NOTE: In PaddlePaddle&#8217;s implementation, the multiplications
<span class="math">\(W_{xi}x_{t}\)</span> , <span class="math">\(W_{xf}x_{t}\)</span>,
<span class="math">\(W_{xc}x_t\)</span>, <span class="math">\(W_{xo}x_{t}\)</span> are not done in the lstmemory layer,
so an additional mixed with full_matrix_projection or a fc must
be included in the configuration file to complete the input-to-hidden
mappings before lstmemory is called.</p>
<p>NOTE: This is a low level user interface. You can use network.simple_lstm
to config a simple plain lstm layer.</p>
1240 1241 1242 1243
<dl class="docutils">
<dt>Reference:</dt>
<dd><a class="reference external" href="https://arxiv.org/pdf/1308.0850.pdf">Generating Sequences With Recurrent Neural Networks</a></dd>
</dl>
1244 1245 1246 1247 1248
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
1249 1250
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>size</strong> (<em>int</em>) &#8211; DEPRECATED. The dimension of the lstm cell.</li>
1251
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
1252
<li><strong>reverse</strong> (<em>bool</em>) &#8211; Whether the input sequence is processed in a reverse order.</li>
1253
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type. paddle.v2.activation.Tanh is the default activation.</li>
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<li><strong>gate_act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type of this layer&#8217;s gates. paddle.v2.activation.Sigmoid is the
default activation.</li>
<li><strong>state_act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type of the state. paddle.v2.activation.Tanh is the default activation.</li>
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<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The bias attribute. If the parameter is set to False or an object
whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined. If the
parameter is set to True, the bias is initialized to zero.</li>
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<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for details.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute | None</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="grumemory">
<h3>grumemory<a class="headerlink" href="#grumemory" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
1281
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">grumemory</code></dt>
1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302
<dd><p>Gate Recurrent Unit Layer.</p>
<p>The memory cell was implemented as follow equations.</p>
<p>1. update gate <span class="math">\(z\)</span>: defines how much of the previous memory to
keep around or the unit updates its activations. The update gate
is computed by:</p>
<div class="math">
\[z_t = \sigma(W_{z}x_{t} + U_{z}h_{t-1} + b_z)\]</div>
<p>2. reset gate <span class="math">\(r\)</span>: determines how to combine the new input with the
previous memory. The reset gate is computed similarly to the update gate:</p>
<div class="math">
\[r_t = \sigma(W_{r}x_{t} + U_{r}h_{t-1} + b_r)\]</div>
<p>3. The candidate activation <span class="math">\(\tilde{h_t}\)</span> is computed similarly to
that of the traditional recurrent unit:</p>
<div class="math">
\[{\tilde{h_t}} = tanh(W x_{t} + U (r_{t} \odot h_{t-1}) + b)\]</div>
<p>4. The hidden activation <span class="math">\(h_t\)</span> of the GRU at time t is a linear
interpolation between the previous activation <span class="math">\(h_{t-1}\)</span> and the
candidate activation <span class="math">\(\tilde{h_t}\)</span>:</p>
<div class="math">
\[h_t = (1 - z_t) h_{t-1} + z_t {\tilde{h_t}}\]</div>
<p>NOTE: In PaddlePaddle&#8217;s implementation, the multiplication operations
1303 1304
<span class="math">\(W_{r}x_{t}\)</span>, <span class="math">\(W_{z}x_{t}\)</span> and <span class="math">\(W x_t\)</span> are not performed
in gate_recurrent layer. Consequently, an additional mixed with
1305 1306
full_matrix_projection or a fc must be included before grumemory
is called.</p>
1307 1308 1309 1310
<dl class="docutils">
<dt>Reference:</dt>
<dd><a class="reference external" href="https://arxiv.org/abs/1412.3555">Empirical Evaluation of Gated Recurrent Neural Networks on Sequence Modeling</a></dd>
</dl>
1311 1312 1313 1314 1315 1316 1317 1318 1319
<p>The simple usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">gru</span> <span class="o">=</span> <span class="n">grumemory</span><span class="p">(</span><span class="nb">input</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
1320
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
1321
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer.</em>) &#8211; The input of this layer.</li>
1322 1323
<li><strong>size</strong> (<em>int</em>) &#8211; DEPRECATED. The dimension of the gru cell.</li>
<li><strong>reverse</strong> (<em>bool</em>) &#8211; Whether the input sequence is processed in a reverse order.</li>
1324
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type, paddle.v2.activation.Tanh is the default. This activation
1325
affects the <span class="math">\({\tilde{h_t}}\)</span>.</li>
1326 1327 1328
<li><strong>gate_act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type of this layer&#8217;s two gates. paddle.v2.activation.Sigmoid is
the default activation. This activation affects the <span class="math">\(z_t\)</span>
and <span class="math">\(r_t\)</span>. It is the <span class="math">\(\sigma\)</span> in the above formula.</li>
1329 1330 1331
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The bias attribute. If the parameter is set to False or an object
whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined. If the
parameter is set to True, the bias is initialized to zero.</li>
1332 1333 1334
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for details.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute | None</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

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</div>
<div class="section" id="gated-unit">
<h3>gated_unit<a class="headerlink" href="#gated-unit" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">gated_unit</code></dt>
<dd><p>The gated unit layer implements a simple gating mechanism over the input.
The input <span class="math">\(X\)</span> is first projected into a new space <span class="math">\(X'\)</span>, and
it is also used to produce a gate weight <span class="math">\(\sigma\)</span>. Element-wise
product between <span class="math">\(X'\)</span> and <span class="math">\(\sigma\)</span> is finally returned.</p>
<dl class="docutils">
<dt>Reference:</dt>
<dd><a class="reference external" href="https://arxiv.org/abs/1612.08083">Language Modeling with Gated Convolutional Networks</a></dd>
</dl>
<div class="math">
\[y=\text{act}(X \cdot W + b)\otimes \sigma(X \cdot V + c)\]</div>
<p>The example usage is:</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of this layer&#8217;s output.</li>
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type of the projection. paddle.v2.activation.Linear is the default
activation.</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>gate_attr</strong> (<em>paddle.v2.attr.ExtraAttribute | None</em>) &#8211; The extra layer attribute of the gate. See paddle.v2.attr.ExtraAttribute for
details.</li>
<li><strong>gate_param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute of the gate. See paddle.v2.attr.ParameterAttribute
for details.</li>
<li><strong>gate_bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | bool | None | Any</em>) &#8211; The bias attribute of the gate. If this parameter is set to False or
an object whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined.
If this parameter is set to True, the bias is initialized to zero.</li>
<li><strong>inproj_attr</strong> (<em>paddle.v2.attr.ExtraAttribute | None</em>) &#8211; Extra layer attributes of the projection. See paddle.v2.attr.ExtraAttribute for
details.</li>
<li><strong>inproj_param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute of the projection. See paddle.v2.attr.ParameterAttribute
for details.</li>
<li><strong>inproj_bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | bool | None | Any</em>) &#8211; The bias attribute of the projection. If this parameter is set to False
or an object whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined.
If this parameter is set to True, the bias is initialized to zero.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute | None</em>) &#8211; Extra layer attribute of the product. See paddle.v2.attr.ExtraAttribute for
details.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

1404 1405 1406 1407 1408 1409
</div>
</div>
<div class="section" id="recurrent-layer-group">
<h2>Recurrent Layer Group<a class="headerlink" href="#recurrent-layer-group" title="Permalink to this headline"></a></h2>
<div class="section" id="memory">
<h3>memory<a class="headerlink" href="#memory" title="Permalink to this headline"></a></h3>
1410
<dl class="class">
1411
<dt>
1412
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">memory</code></dt>
1413 1414 1415 1416 1417 1418 1419
<dd><p>The memory takes a layer&#8217;s output at previous time step as its own output.</p>
<p>If boot_bias, the activation of the bias is the initial value of the memory.</p>
<p>If boot_with_const_id is set, then the memory&#8217;s output at the first time step
is a IndexSlot, the Arguments.ids()[0] is this <code class="code docutils literal"><span class="pre">cost_id</span></code>.</p>
<p>If boot is specified, the memory&#8217;s output at the first time step will
be the boot&#8217;s output.</p>
<p>In other case, the default memory&#8217;s output at the first time step is zero.</p>
1420
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">mem</span> <span class="o">=</span> <span class="n">memory</span><span class="p">(</span><span class="n">size</span><span class="o">=</span><span class="mi">256</span><span class="p">,</span> <span class="n">name</span><span class="o">=</span><span class="s1">&#39;state&#39;</span><span class="p">)</span>
1421
<span class="n">state</span> <span class="o">=</span> <span class="n">fc</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">mem</span><span class="p">,</span> <span class="n">size</span><span class="o">=</span><span class="mi">256</span><span class="p">,</span> <span class="n">name</span><span class="o">=</span><span class="s1">&#39;state&#39;</span><span class="p">)</span>
1422 1423
</pre></div>
</div>
1424 1425
<p>If you do not want to specify the name, you can also use set_input()
to specify the layer to be remembered as the following:</p>
1426 1427 1428 1429 1430
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">mem</span> <span class="o">=</span> <span class="n">memory</span><span class="p">(</span><span class="n">size</span><span class="o">=</span><span class="mi">256</span><span class="p">)</span>
<span class="n">state</span> <span class="o">=</span> <span class="n">fc</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">mem</span><span class="p">,</span> <span class="n">size</span><span class="o">=</span><span class="mi">256</span><span class="p">)</span>
<span class="n">mem</span><span class="o">.</span><span class="n">set_input</span><span class="p">(</span><span class="n">mem</span><span class="p">)</span>
</pre></div>
</div>
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<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
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<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of the layer which this memory remembers.
1437 1438
If name is None, user should call set_input() to specify the
name of the layer which this memory remembers.</li>
1439 1440
<li><strong>size</strong> (<em>int</em>) &#8211; The dimensionality of memory.</li>
<li><strong>memory_name</strong> (<em>basestring</em>) &#8211; The name of the memory. It is ignored when name is provided.</li>
1441
<li><strong>is_seq</strong> (<em>bool</em>) &#8211; DEPRECATED. is sequence for boot</li>
1442 1443 1444 1445 1446 1447 1448 1449 1450 1451
<li><strong>boot</strong> (<em>paddle.v2.config_base.Layer | None</em>) &#8211; This parameter specifies memory&#8217;s output at the first time
step and the output is boot&#8217;s output.</li>
<li><strong>boot_bias</strong> (<em>paddle.v2.attr.ParameterAttribute | None</em>) &#8211; The bias attribute of memory&#8217;s output at the first time step.
If the parameter is set to False or an object whose type is not
paddle.v2.attr.ParameterAttribute, no bias is defined. If the parameter is set
to True, the bias is initialized to zero.</li>
<li><strong>boot_bias_active_type</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type for memory&#8217;s bias at the first time
step. paddle.v2.activation.Linear is the default activation.</li>
<li><strong>boot_with_const_id</strong> (<em>int</em>) &#8211; This parameter specifies memory&#8217;s output at the first
time step and the output is an index.</li>
1452 1453 1454
</ul>
</td>
</tr>
1455
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
1456 1457
</td>
</tr>
1458
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
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</td>
</tr>
</tbody>
</table>
1463
</dd></dl>
1464 1465 1466 1467

</div>
<div class="section" id="recurrent-group">
<h3>recurrent_group<a class="headerlink" href="#recurrent-group" title="Permalink to this headline"></a></h3>
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<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">recurrent_group</code></dt>
1471 1472 1473
<dd><p>Recurrent layer group is an extremely flexible recurrent unit in
PaddlePaddle. As long as the user defines the calculation done within a
time step, PaddlePaddle will iterate such a recurrent calculation over
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sequence input. This is useful for attention-based models, or Neural
Turning Machine like models.</p>
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<p>The basic usage (time steps) is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">step</span><span class="p">(</span><span class="nb">input</span><span class="p">):</span>
1478
    <span class="n">output</span> <span class="o">=</span> <span class="n">fc</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">,</span>
1479
                      <span class="n">size</span><span class="o">=</span><span class="mi">1024</span><span class="p">,</span>
1480
                      <span class="n">act</span><span class="o">=</span><span class="n">paddle</span><span class="o">.</span><span class="n">v2</span><span class="o">.</span><span class="n">activation</span><span class="o">.</span><span class="n">Linear</span><span class="p">(),</span>
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                      <span class="n">bias_attr</span><span class="o">=</span><span class="bp">False</span><span class="p">)</span>
    <span class="k">return</span> <span class="n">output</span>

<span class="n">group</span> <span class="o">=</span> <span class="n">recurrent_group</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">,</span>
                        <span class="n">step</span><span class="o">=</span><span class="n">step</span><span class="p">)</span>
</pre></div>
</div>
<p>You can see following configs for further usages:</p>
<ul class="simple">
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<li>time steps: lstmemory_group, paddle/gserver/tests/sequence_group.conf,                   demo/seqToseq/seqToseq_net.py</li>
<li>sequence steps: paddle/gserver/tests/sequence_nest_group.conf</li>
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</ul>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
1497
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
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<li><strong>step</strong> (<em>callable</em>) &#8211; <p>A step function which takes the input of recurrent_group as its own
input and returns values as recurrent_group&#8217;s output every time step.</p>
<p>The recurrent group scatters a sequence into time steps. And
for each time step, it will invoke step function, and return
a time step result. Then gather outputs of each time step into
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layer group&#8217;s output.</p>
</li>
1505
<li><strong>name</strong> (<em>basestring</em>) &#8211; The recurrent_group&#8217;s name. It is optional.</li>
1506
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer | StaticInput | SubsequenceInput | list | tuple</em>) &#8211; <p>Input links array.</p>
1507
<p>paddle.v2.config_base.Layer will be scattered into time steps.
1508 1509
SubsequenceInput will be scattered into sequence steps.
StaticInput will be imported to each time step, and doesn&#8217;t change
1510
over time. It&#8217;s a mechanism to access layer outside step function.</p>
1511
</li>
1512
<li><strong>reverse</strong> (<em>bool</em>) &#8211; If reverse is set to True, the recurrent unit will process the
1513
input sequence in a reverse order.</li>
1514
<li><strong>targetInlink</strong> (<em>paddle.v2.config_base.Layer | SubsequenceInput</em>) &#8211; <p>DEPRECATED.
1515
The input layer which share info with layer group&#8217;s output</p>
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<p>Param input specifies multiple input layers. For
SubsequenceInput inputs, config should assign one input
layer that share info(the number of sentences and the number
of words in each sentence) with all layer group&#8217;s outputs.
targetInlink should be one of the layer group&#8217;s input.</p>
</li>
</ul>
</td>
</tr>
1525 1526
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
1527
</tr>
1528 1529
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
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</tr>
</tbody>
</table>
</dd></dl>
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</div>
<div class="section" id="lstm-step">
<h3>lstm_step<a class="headerlink" href="#lstm-step" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
1540
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">lstm_step</code></dt>
1541 1542
<dd><p>LSTM Step Layer. This function is used only in recurrent_group.
The lstm equations are shown as follows.</p>
1543
<div class="math">
1544
\[ \begin{align}\begin{aligned}i_t &amp; = \sigma(W_{x_i}x_{t} + W_{h_i}h_{t-1} + W_{c_i}c_{t-1} + b_i)\\f_t &amp; = \sigma(W_{x_f}x_{t} + W_{h_f}h_{t-1} + W_{c_f}c_{t-1} + b_f)\\c_t &amp; = f_tc_{t-1} + i_t tanh (W_{x_c}x_t+W_{h_c}h_{t-1} + b_c)\\o_t &amp; = \sigma(W_{x_o}x_{t} + W_{h_o}h_{t-1} + W_{c_o}c_t + b_o)\\h_t &amp; = o_t tanh(c_t)\end{aligned}\end{align} \]</div>
1545 1546
<p>The input of lstm step is <span class="math">\(Wx_t + Wh_{t-1}\)</span>, and user should use
<code class="code docutils literal"><span class="pre">mixed</span></code> and <code class="code docutils literal"><span class="pre">full_matrix_projection</span></code> to calculate these
1547
input vectors.</p>
1548 1549 1550
<p>The state of lstm step is <span class="math">\(c_{t-1}\)</span>. And lstm step layer will do</p>
<div class="math">
\[ \begin{align}\begin{aligned}i_t = \sigma(input + W_{ci}c_{t-1} + b_i)\\...\end{aligned}\end{align} \]</div>
1551 1552
<p>This layer has two outputs. The default output is <span class="math">\(h_t\)</span>. The other
output is <span class="math">\(o_t\)</span>, whose name is &#8216;state&#8217; and users can use
1553 1554 1555 1556 1557 1558
<code class="code docutils literal"><span class="pre">get_output</span></code> to extract this output.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
1559
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
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<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of this layer&#8217;s output, which must be
equal to the dimension of the state.</li>
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
<li><strong>state</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The state of the LSTM unit.</li>
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type. paddle.v2.activation.Tanh is the default activation.</li>
<li><strong>gate_act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type of the gate. paddle.v2.activation.Sigmoid is the
default activation.</li>
<li><strong>state_act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type of the state. paddle.v2.activation.Tanh is the
default activation.</li>
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The bias attribute. If the parameter is set to False or an object
whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined. If the
parameter is set to True, the bias is initialized to zero.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="gru-step">
<h3>gru_step<a class="headerlink" href="#gru-step" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
1591
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">gru_step</code></dt>
1592 1593 1594 1595 1596
<dd><table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
1597 1598 1599 1600 1601 1602 1603 1604 1605 1606
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer, whose dimension can be divided by 3.</li>
<li><strong>output_mem</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; A memory which memorizes the output of this layer at previous
time step.</li>
<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of this layer&#8217;s output. If it is not set or set to None,
it will be set to one-third of the dimension of the input automatically.</li>
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type of this layer&#8217;s output. paddle.v2.activation.Tanh
is the default activation.</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>gate_act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type of this layer&#8217;s two gates. paddle.v2.activation.Sigmoid is
the default activation.</li>
1607 1608 1609 1610
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The parameter attribute for bias. If this parameter is set to
False or an object whose type is not paddle.v2.attr.ParameterAttribute, no bias
is defined. If this parameter is set to True,
the bias is initialized to zero.</li>
1611 1612
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for details.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for details.</li>
1613 1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="beam-search">
<h3>beam_search<a class="headerlink" href="#beam-search" title="Permalink to this headline"></a></h3>
1629 1630 1631
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">beam_search</code></dt>
1632 1633 1634 1635 1636 1637
<dd><p>Beam search is a heuristic search algorithm used in sequence generation.
It explores a graph by expanding the most promising nodes in a limited set
to maintain tractability.</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">rnn_step</span><span class="p">(</span><span class="nb">input</span><span class="p">):</span>
    <span class="n">last_time_step_output</span> <span class="o">=</span> <span class="n">memory</span><span class="p">(</span><span class="n">name</span><span class="o">=</span><span class="s1">&#39;rnn&#39;</span><span class="p">,</span> <span class="n">size</span><span class="o">=</span><span class="mi">512</span><span class="p">)</span>
1638
    <span class="k">with</span> <span class="n">mixed</span><span class="p">(</span><span class="n">size</span><span class="o">=</span><span class="mi">512</span><span class="p">,</span> <span class="n">name</span><span class="o">=</span><span class="s1">&#39;rnn&#39;</span><span class="p">)</span> <span class="k">as</span> <span class="n">simple_rnn</span><span class="p">:</span>
1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665
        <span class="n">simple_rnn</span> <span class="o">+=</span> <span class="n">full_matrix_projection</span><span class="p">(</span><span class="nb">input</span><span class="p">)</span>
        <span class="n">simple_rnn</span> <span class="o">+=</span> <span class="n">last_time_step_output</span>
    <span class="k">return</span> <span class="n">simple_rnn</span>

<span class="n">generated_word_embedding</span> <span class="o">=</span> <span class="n">GeneratedInput</span><span class="p">(</span>
                       <span class="n">size</span><span class="o">=</span><span class="n">target_dictionary_dim</span><span class="p">,</span>
                       <span class="n">embedding_name</span><span class="o">=</span><span class="s2">&quot;target_language_embedding&quot;</span><span class="p">,</span>
                       <span class="n">embedding_size</span><span class="o">=</span><span class="n">word_vector_dim</span><span class="p">)</span>

<span class="n">beam_gen</span> <span class="o">=</span> <span class="n">beam_search</span><span class="p">(</span><span class="n">name</span><span class="o">=</span><span class="s2">&quot;decoder&quot;</span><span class="p">,</span>
                       <span class="n">step</span><span class="o">=</span><span class="n">rnn_step</span><span class="p">,</span>
                       <span class="nb">input</span><span class="o">=</span><span class="p">[</span><span class="n">StaticInput</span><span class="p">(</span><span class="n">encoder_last</span><span class="p">),</span>
                              <span class="n">generated_word_embedding</span><span class="p">],</span>
                       <span class="n">bos_id</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span>
                       <span class="n">eos_id</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span>
                       <span class="n">beam_size</span><span class="o">=</span><span class="mi">5</span><span class="p">)</span>
</pre></div>
</div>
<p>Please see the following demo for more details:</p>
<ul class="simple">
<li>machine translation : demo/seqToseq/translation/gen.conf                             demo/seqToseq/seqToseq_net.py</li>
</ul>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
1666 1667
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of the recurrent unit that is responsible for
generating sequences. It is optional.</li>
1668 1669 1670 1671 1672 1673 1674
<li><strong>step</strong> (<em>callable</em>) &#8211; <p>A callable function that defines the calculation in a time
step, and it is applied to sequences with arbitrary length by
sharing a same set of weights.</p>
<p>You can refer to the first parameter of recurrent_group, or
demo/seqToseq/seqToseq_net.py for more details.</p>
</li>
<li><strong>input</strong> (<em>list</em>) &#8211; Input data for the recurrent unit, which should include the
1675 1676
previously generated words as a GeneratedInput object.
In beam_search, none of the input&#8217;s type should be paddle.v2.config_base.Layer.</li>
1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701
<li><strong>bos_id</strong> (<em>int</em>) &#8211; Index of the start symbol in the dictionary. The start symbol
is a special token for NLP task, which indicates the
beginning of a sequence. In the generation task, the start
symbol is essential, since it is used to initialize the RNN
internal state.</li>
<li><strong>eos_id</strong> (<em>int</em>) &#8211; Index of the end symbol in the dictionary. The end symbol is
a special token for NLP task, which indicates the end of a
sequence. The generation process will stop once the end
symbol is generated, or a pre-defined max iteration number
is exceeded.</li>
<li><strong>max_length</strong> (<em>int</em>) &#8211; Max generated sequence length.</li>
<li><strong>beam_size</strong> (<em>int</em>) &#8211; Beam search for sequence generation is an iterative search
algorithm. To maintain tractability, every iteration only
only stores a predetermined number, called the beam_size,
of the most promising next words. The greater the beam
size, the fewer candidate words are pruned.</li>
<li><strong>num_results_per_sample</strong> (<em>int</em>) &#8211; Number of the generated results per input
sequence. This number must always be less than
beam size.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">The generated word index.</p>
</td>
</tr>
1702
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
1703 1704 1705 1706 1707
</td>
</tr>
</tbody>
</table>
</dd></dl>
1708 1709 1710 1711 1712 1713

</div>
<div class="section" id="get-output">
<h3>get_output<a class="headerlink" href="#get-output" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
1714
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">get_output</code></dt>
1715 1716 1717 1718 1719 1720 1721 1722 1723
<dd><p>Get layer&#8217;s output by name. In PaddlePaddle, a layer might return multiple
values, but returns one layer&#8217;s output. If the user wants to use another
output besides the default one, please use get_output first to get
the output from input.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
1724
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
1725
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input layer. And this layer should contain
1726
multiple outputs.</li>
1727 1728 1729
<li><strong>arg_name</strong> (<em>basestring</em>) &#8211; The name of the output to be extracted from the input layer.</li>
<li><strong>layer_attr</strong> &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
</div>
<div class="section" id="mixed-layer">
<h2>Mixed Layer<a class="headerlink" href="#mixed-layer" title="Permalink to this headline"></a></h2>
<div class="section" id="mixed">
<span id="api-v2-layer-mixed"></span><h3>mixed<a class="headerlink" href="#mixed" title="Permalink to this headline"></a></h3>
1749 1750 1751
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">mixed</code></dt>
1752 1753
<dd><p>Mixed Layer. A mixed layer will add all inputs together, then activate the sum.
Each input is a projection or operator.</p>
1754 1755
<p>There are two styles of usages.</p>
<ol class="arabic simple">
1756
<li>When the parameter input is not set, use mixed like this:</li>
1757
</ol>
1758
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="k">with</span> <span class="n">mixed</span><span class="p">(</span><span class="n">size</span><span class="o">=</span><span class="mi">256</span><span class="p">)</span> <span class="k">as</span> <span class="n">m</span><span class="p">:</span>
1759 1760 1761 1762 1763
    <span class="n">m</span> <span class="o">+=</span> <span class="n">full_matrix_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer1</span><span class="p">)</span>
    <span class="n">m</span> <span class="o">+=</span> <span class="n">identity_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer2</span><span class="p">)</span>
</pre></div>
</div>
<ol class="arabic simple" start="2">
1764
<li>You can also set all inputs when invoke mixed as follows:</li>
1765
</ol>
1766
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">m</span> <span class="o">=</span> <span class="n">mixed</span><span class="p">(</span><span class="n">size</span><span class="o">=</span><span class="mi">256</span><span class="p">,</span>
1767 1768 1769 1770 1771 1772 1773 1774 1775
                <span class="nb">input</span><span class="o">=</span><span class="p">[</span><span class="n">full_matrix_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer1</span><span class="p">),</span>
                       <span class="n">full_matrix_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer2</span><span class="p">)])</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
1776 1777 1778
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of this layer.</li>
<li><strong>input</strong> &#8211; The input of this layer. It is an optional parameter.</li>
1779
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation Type. paddle.v2.activation.Linear is the default activation.</li>
1780 1781 1782
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The bias attribute. If the parameter is set to False or an object
whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined. If the
parameter is set to True, the bias is initialized to zero.</li>
1783 1784
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
1785 1786 1787
</ul>
</td>
</tr>
1788
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">MixedLayerType object.</p>
1789 1790 1791 1792 1793 1794 1795 1796
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">MixedLayerType</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>
1797 1798 1799 1800 1801 1802

</div>
<div class="section" id="embedding">
<span id="api-v2-layer-embedding"></span><h3>embedding<a class="headerlink" href="#embedding" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
1803
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">embedding</code></dt>
1804 1805 1806 1807 1808 1809
<dd><p>Define a embedding Layer.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
1810
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
1811 1812 1813
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer, whose type must be Index Data.</li>
<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of the embedding vector.</li>
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The embedding parameter attribute. See paddle.v2.attr.ParameterAttribute
1814
for details.</li>
1815 1816
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute | None</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="scaling-projection">
<h3>scaling_projection<a class="headerlink" href="#scaling-projection" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
1835
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">scaling_projection</code></dt>
1836
<dd><p>scaling_projection multiplies the input with a scalar parameter.</p>
1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847
<div class="math">
\[out += w * in\]</div>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">proj</span> <span class="o">=</span> <span class="n">scaling_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
1848
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
1849
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for details.</li>
1850 1851 1852
</ul>
</td>
</tr>
1853
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">ScalingProjection object.</p>
1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">ScalingProjection</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="dotmul-projection">
<h3>dotmul_projection<a class="headerlink" href="#dotmul-projection" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
1868
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">dotmul_projection</code></dt>
1869 1870
<dd><p>DotMulProjection takes a layer as input and performs
element-wise multiplication with weight.</p>
1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882
<div class="math">
\[out.row[i] += in.row[i] .* weight\]</div>
<p>where <span class="math">\(.*\)</span> means element-wise multiplication.</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">proj</span> <span class="o">=</span> <span class="n">dotmul_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
1883
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
1884
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for details.</li>
1885 1886 1887
</ul>
</td>
</tr>
1888
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">DotMulProjection object.</p>
1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">DotMulProjection</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="dotmul-operator">
<h3>dotmul_operator<a class="headerlink" href="#dotmul-operator" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
1903
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">dotmul_operator</code></dt>
1904 1905
<dd><p>DotMulOperator takes two inputs and performs element-wise multiplication:</p>
<div class="math">
1906
\[out.row[i] += scale * (a.row[i] .* b.row[i])\]</div>
1907
<p>where <span class="math">\(.*\)</span> means element-wise multiplication, and
1908
scale is a config scalar, its default value is 1.</p>
1909
<p>The example usage is:</p>
1910
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">op</span> <span class="o">=</span> <span class="n">dotmul_operator</span><span class="p">(</span><span class="n">a</span><span class="o">=</span><span class="n">layer1</span><span class="p">,</span> <span class="n">b</span><span class="o">=</span><span class="n">layer2</span><span class="p">,</span> <span class="n">scale</span><span class="o">=</span><span class="mf">0.5</span><span class="p">)</span>
1911 1912 1913 1914 1915 1916 1917
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
1918 1919 1920
<li><strong>a</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input of this layer.</li>
<li><strong>b</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The second input of this layer.</li>
<li><strong>scale</strong> (<em>float</em>) &#8211; A scalar to scale the product. Its default value is 1.</li>
1921 1922 1923
</ul>
</td>
</tr>
1924
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">DotMulOperator object.</p>
1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">DotMulOperator</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="full-matrix-projection">
<h3>full_matrix_projection<a class="headerlink" href="#full-matrix-projection" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
1939
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">full_matrix_projection</code></dt>
1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951
<dd><p>Full Matrix Projection. It performs full matrix multiplication.</p>
<div class="math">
\[out.row[i] += in.row[i] * weight\]</div>
<p>There are two styles of usage.</p>
<ol class="arabic simple">
<li>When used in mixed like this, you can only set the input:</li>
</ol>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="k">with</span> <span class="n">mixed</span><span class="p">(</span><span class="n">size</span><span class="o">=</span><span class="mi">100</span><span class="p">)</span> <span class="k">as</span> <span class="n">m</span><span class="p">:</span>
    <span class="n">m</span> <span class="o">+=</span> <span class="n">full_matrix_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">)</span>
</pre></div>
</div>
<ol class="arabic simple" start="2">
1952
<li>When used as an independent object like this, you must set the size:</li>
1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963
</ol>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">proj</span> <span class="o">=</span> <span class="n">full_matrix_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">,</span>
                              <span class="n">size</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span>
                              <span class="n">param_attr</span><span class="o">=</span><span class="n">ParamAttr</span><span class="p">(</span><span class="n">name</span><span class="o">=</span><span class="s1">&#39;_proj&#39;</span><span class="p">))</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
1964
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
1965 1966
<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of this layer.</li>
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for details.</li>
1967 1968 1969
</ul>
</td>
</tr>
1970
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">FullMatrixProjection Object.</p>
1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">FullMatrixProjection</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="identity-projection">
<h3>identity_projection<a class="headerlink" href="#identity-projection" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
1985
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">identity_projection</code></dt>
1986
<dd><ol class="arabic simple">
1987
<li>If offset=None, it performs IdentityProjection as follows:</li>
1988 1989 1990 1991 1992 1993 1994
</ol>
<div class="math">
\[out.row[i] += in.row[i]\]</div>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">proj</span> <span class="o">=</span> <span class="n">identity_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">)</span>
</pre></div>
</div>
1995 1996 1997 1998
<ol class="arabic simple" start="2">
<li>If offset!=None, It executes IdentityOffsetProjection and takes the
elements of the input in the range [offset, offset+size) as output.</li>
</ol>
1999 2000 2001 2002 2003 2004 2005
<div class="math">
\[out.row[i] += in.row[i + \textrm{offset}]\]</div>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">proj</span> <span class="o">=</span> <span class="n">identity_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">,</span>
                           <span class="n">offset</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
</pre></div>
</div>
2006
<p>Note that neither of the projections have trainable parameter.</p>
2007 2008 2009 2010 2011
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2012
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
2013 2014 2015 2016 2017 2018
<li><strong>offset</strong> (<em>int</em>) &#8211; The offset from the start of the input. The input&#8217;s
elements in the range [offset, offset+size) will be
taken as output. If this parameter is not set or set
to None, the output will be the same as the input.</li>
<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of this layer. It will be neglected
when offset is None or not set.</li>
2019 2020 2021
</ul>
</td>
</tr>
2022
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">IdentityProjection or IdentityOffsetProjection object</p>
2023 2024
</td>
</tr>
2025
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">IdentityProjection | IdentityOffsetProjection</p>
2026 2027 2028 2029 2030 2031
</td>
</tr>
</tbody>
</table>
</dd></dl>

2032 2033 2034 2035 2036 2037
</div>
<div class="section" id="slice-projection">
<h3>slice_projection<a class="headerlink" href="#slice-projection" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">slice_projection</code></dt>
2038 2039
<dd><p>slice_projection slices the input value into multiple parts,
then selects and merges some of them into a new output.</p>
2040 2041 2042 2043 2044 2045
<div class="math">
\[output = [input.slices()]\]</div>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">proj</span> <span class="o">=</span> <span class="n">slice_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">,</span> <span class="n">slices</span><span class="o">=</span><span class="p">[(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">10</span><span class="p">),</span> <span class="p">(</span><span class="mi">20</span><span class="p">,</span> <span class="mi">30</span><span class="p">)])</span>
</pre></div>
</div>
2046
<p>Note that slice_projection has no trainable parameter.</p>
2047 2048 2049 2050 2051
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2052
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
2053
<li><strong>slices</strong> (<em>list of tuple</em>) &#8211; A list of start and end offsets of each slice.</li>
2054 2055 2056
</ul>
</td>
</tr>
2057
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">SliceProjection object.</p>
2058 2059 2060 2061 2062 2063 2064 2065 2066
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">SliceProjection</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

2067 2068 2069 2070 2071
</div>
<div class="section" id="table-projection">
<h3>table_projection<a class="headerlink" href="#table-projection" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
2072
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">table_projection</code></dt>
2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087
<dd><p>Table Projection. It selects rows from parameter where row_id
is in input_ids.</p>
<div class="math">
\[out.row[i] += table.row[ids[i]]\]</div>
<p>where <span class="math">\(out\)</span> is output, <span class="math">\(table\)</span> is parameter, <span class="math">\(ids\)</span> is input_ids,
and <span class="math">\(i\)</span> is row_id.</p>
<p>There are two styles of usage.</p>
<ol class="arabic simple">
<li>When used in mixed like this, you can only set the input:</li>
</ol>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="k">with</span> <span class="n">mixed</span><span class="p">(</span><span class="n">size</span><span class="o">=</span><span class="mi">100</span><span class="p">)</span> <span class="k">as</span> <span class="n">m</span><span class="p">:</span>
    <span class="n">m</span> <span class="o">+=</span> <span class="n">table_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">)</span>
</pre></div>
</div>
<ol class="arabic simple" start="2">
2088
<li>When used as an independent object like this, you must set the size:</li>
2089 2090 2091 2092 2093 2094 2095 2096 2097 2098 2099
</ol>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">proj</span> <span class="o">=</span> <span class="n">table_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">,</span>
                        <span class="n">size</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span>
                        <span class="n">param_attr</span><span class="o">=</span><span class="n">ParamAttr</span><span class="p">(</span><span class="n">name</span><span class="o">=</span><span class="s1">&#39;_proj&#39;</span><span class="p">))</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2100
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer, which must contains id fields.</li>
2101 2102
<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of the output.</li>
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for details.</li>
2103 2104 2105
</ul>
</td>
</tr>
2106
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">TableProjection Object.</p>
2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">TableProjection</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="trans-full-matrix-projection">
<h3>trans_full_matrix_projection<a class="headerlink" href="#trans-full-matrix-projection" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
2121
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">trans_full_matrix_projection</code></dt>
2122
<dd><p>Different from full_matrix_projection, this projection performs matrix
2123
multiplication, using the transpose of weight.</p>
2124 2125
<div class="math">
\[out.row[i] += in.row[i] * w^\mathrm{T}\]</div>
2126
<p><span class="math">\(w^\mathrm{T}\)</span> means the transpose of weight.
2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140
The simply usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">proj</span> <span class="o">=</span> <span class="n">trans_full_matrix_projection</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">,</span>
                                    <span class="n">size</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span>
                                    <span class="n">param_attr</span><span class="o">=</span><span class="n">ParamAttr</span><span class="p">(</span>
                                         <span class="n">name</span><span class="o">=</span><span class="s1">&#39;_proj&#39;</span><span class="p">,</span>
                                         <span class="n">initial_mean</span><span class="o">=</span><span class="mf">0.0</span><span class="p">,</span>
                                         <span class="n">initial_std</span><span class="o">=</span><span class="mf">0.01</span><span class="p">))</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2141
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
2142
<li><strong>size</strong> (<em>int</em>) &#8211; The parameter size. Means the width of parameter.</li>
2143
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for details.</li>
2144 2145 2146
</ul>
</td>
</tr>
2147
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">TransposedFullMatrixProjection Object.</p>
2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">TransposedFullMatrixProjection</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
</div>
<div class="section" id="aggregate-layers">
<h2>Aggregate Layers<a class="headerlink" href="#aggregate-layers" title="Permalink to this headline"></a></h2>
2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174
<div class="section" id="aggregatelevel">
<h3>AggregateLevel<a class="headerlink" href="#aggregatelevel" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">AggregateLevel</code></dt>
<dd><p>PaddlePaddle supports three sequence types:</p>
<ul class="simple">
<li><code class="code docutils literal"><span class="pre">SequenceType.NO_SEQUENCE</span></code> means the sample is not a sequence.</li>
<li><code class="code docutils literal"><span class="pre">SequenceType.SEQUENCE</span></code> means the sample is a sequence.</li>
<li><code class="code docutils literal"><span class="pre">SequenceType.SUB_SEQUENCE</span></code> means the sample is a nested sequence,
each timestep of which is also a sequence.</li>
</ul>
<p>Accordingly, AggregateLevel supports two modes:</p>
<ul class="simple">
2175
<li><code class="code docutils literal"><span class="pre">AggregateLevel.TO_NO_SEQUENCE</span></code> means the aggregation acts on each
2176 2177
timestep of a sequence, both <code class="code docutils literal"><span class="pre">SUB_SEQUENCE</span></code> and <code class="code docutils literal"><span class="pre">SEQUENCE</span></code> will
be aggregated to <code class="code docutils literal"><span class="pre">NO_SEQUENCE</span></code>.</li>
2178
<li><code class="code docutils literal"><span class="pre">AggregateLevel.TO_SEQUENCE</span></code> means the aggregation acts on each
2179 2180 2181 2182 2183 2184
sequence of a nested sequence, <code class="code docutils literal"><span class="pre">SUB_SEQUENCE</span></code> will be aggregated to
<code class="code docutils literal"><span class="pre">SEQUENCE</span></code>.</li>
</ul>
</dd></dl>

</div>
2185
<div class="section" id="api-v2-layer-pooling">
2186
<span id="id2"></span><h3>pooling<a class="headerlink" href="#api-v2-layer-pooling" title="Permalink to this headline"></a></h3>
2187 2188
<dl class="class">
<dt>
2189
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">pooling</code></dt>
2190
<dd><p>Pooling layer for sequence inputs, not used for Image.</p>
2191
<p>If stride &gt; 0, this layer slides a window whose size is determined by stride,
2192 2193 2194
and returns the pooling value of the sequence in the window as the output. Thus,
a long sequence will be shortened. Note that for sequence with sub-sequence, the
default value of stride is -1.</p>
2195 2196 2197
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">seq_pool</span> <span class="o">=</span> <span class="n">pooling</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">,</span>
                         <span class="n">pooling_type</span><span class="o">=</span><span class="n">AvgPooling</span><span class="p">(),</span>
2198
                         <span class="n">agg_level</span><span class="o">=</span><span class="n">AggregateLevel</span><span class="o">.</span><span class="n">TO_NO_SEQUENCE</span><span class="p">)</span>
2199 2200 2201 2202 2203 2204 2205
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2206 2207
<li><strong>agg_level</strong> (<em>AggregateLevel</em>) &#8211; AggregateLevel.TO_NO_SEQUENCE or
AggregateLevel.TO_SEQUENCE</li>
2208
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
2209
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
2210 2211
<li><strong>pooling_type</strong> (<em>BasePoolingType | None</em>) &#8211; Type of pooling. MaxPooling is the default pooling.</li>
<li><strong>stride</strong> (<em>int</em>) &#8211; The step size between successive pooling regions.</li>
2212 2213 2214
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The bias attribute. If the parameter is set to False or an object
whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined. If the
parameter is set to True, the bias is initialized to zero.</li>
2215 2216
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute | None</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="last-seq">
<span id="api-v2-layer-last-seq"></span><h3>last_seq<a class="headerlink" href="#last-seq" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
2235
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">last_seq</code></dt>
2236
<dd><p>Get Last Timestamp Activation of a sequence.</p>
2237 2238 2239 2240
<p>If stride &gt; 0, this layer will slide a window whose size is determined by stride,
and return the last value of the sequence in the window as the output. Thus, a
long sequence will be shortened. Note that for sequence with sub-sequence, the
default value of stride is -1.</p>
2241 2242 2243 2244 2245 2246 2247 2248 2249
<p>The simple usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">seq</span> <span class="o">=</span> <span class="n">last_seq</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2250
<li><strong>agg_level</strong> (<em>AggregateLevel</em>) &#8211; Aggregated level</li>
2251
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
2252
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
2253 2254 2255
<li><strong>stride</strong> (<em>int</em>) &#8211; The step size between successive pooling regions.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="first-seq">
<span id="api-v2-layer-first-seq"></span><h3>first_seq<a class="headerlink" href="#first-seq" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
2274
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">first_seq</code></dt>
2275
<dd><p>Get First Timestamp Activation of a sequence.</p>
2276 2277 2278 2279
<p>If stride &gt; 0, this layer will slide a window whose size is determined by stride,
and return the first value of the sequence in the window as the output. Thus, a
long sequence will be shortened. Note that for sequence with sub-sequence, the
default value of stride is -1.</p>
2280 2281 2282 2283 2284 2285 2286 2287 2288
<p>The simple usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">seq</span> <span class="o">=</span> <span class="n">first_seq</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2289
<li><strong>agg_level</strong> (<em>AggregateLevel</em>) &#8211; aggregation level</li>
2290
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
2291
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
2292 2293 2294
<li><strong>stride</strong> (<em>int</em>) &#8211; The step size between successive pooling regions.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
2295 2296 2297 2298
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="sub-seq">
<h3>sub_seq<a class="headerlink" href="#sub-seq" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">sub_seq</code></dt>
<dd><p>sub_seq will return sub-sequences from the input sequences. For each
sequence in the input sequence layer, sub_seq will slice it by given
offset and size. Please notice that, number of offset value and size value
both are equal to the number of sequence in the input layer.</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">sub_seq</span> <span class="o">=</span> <span class="n">sub_seq</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">input_seq</span><span class="p">,</span> <span class="n">offsets</span><span class="o">=</span><span class="n">offsets</span><span class="p">,</span> <span class="n">sizes</span><span class="o">=</span><span class="n">sizes</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer, which should be sequence.</li>
<li><strong>offsets</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The offset indices to slice the input sequence, which should
be sequence type.</li>
<li><strong>sizes</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The sizes of the sub-sequences, which should be sequence type.</li>
<li><strong>act</strong> (<em>paddle.v2.activation.Base.</em>) &#8211; Activation type, paddle.v2.activation.Linear is the default activation.</li>
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The bias attribute. If the parameter is set to False or an object
whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined. If the
parameter is set to True, the bias is initialized to zero.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
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</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="concat">
<h3>concat<a class="headerlink" href="#concat" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
2353
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">concat</code></dt>
2354 2355
<dd><p>Concatenate all input vectors to one vector.
Inputs can be a list of paddle.v2.config_base.Layer or a list of projection.</p>
2356 2357 2358 2359 2360 2361 2362 2363 2364
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">concat</span> <span class="o">=</span> <span class="n">concat</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="p">[</span><span class="n">layer1</span><span class="p">,</span> <span class="n">layer2</span><span class="p">])</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2365
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
2366
<li><strong>input</strong> (<em>list | tuple | collections.Sequence</em>) &#8211; The input layers or projections</li>
2367
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type. paddle.v2.activation.Identity is the default activation.</li>
2368 2369
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383 2384 2385 2386 2387
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="seq-concat">
<h3>seq_concat<a class="headerlink" href="#seq-concat" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
2388
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">seq_concat</code></dt>
2389
<dd><p>Concatenate sequence a and sequence b.</p>
2390 2391 2392
<dl class="docutils">
<dt>Inputs:</dt>
<dd><ul class="first last simple">
2393
<li>a = [a1, a2, ..., am]</li>
2394 2395 2396 2397
<li>b = [b1, b2, ..., bn]</li>
</ul>
</dd>
</dl>
2398 2399 2400
<p>Output: [a1, ..., am, b1, ..., bn]</p>
<p>Note that the above computation is for one sample. Multiple samples are
processed in one batch.</p>
2401 2402 2403 2404 2405 2406 2407 2408 2409
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">concat</span> <span class="o">=</span> <span class="n">seq_concat</span><span class="p">(</span><span class="n">a</span><span class="o">=</span><span class="n">layer1</span><span class="p">,</span> <span class="n">b</span><span class="o">=</span><span class="n">layer2</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2410
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
2411 2412
<li><strong>a</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input sequence layer</li>
<li><strong>b</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The second input sequence layer</li>
2413
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type. paddle.v2.activation.Identity is the default activation.</li>
2414 2415
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
2416 2417 2418
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The bias attribute. If the parameter is set to False or an object
whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined. If the
parameter is set to True, the bias is initialized to zero.</li>
2419 2420 2421 2422 2423 2424 2425 2426 2427 2428 2429 2430 2431
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

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</div>
<div class="section" id="seq-slice">
<h3>seq_slice<a class="headerlink" href="#seq-slice" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">seq_slice</code></dt>
<dd><p>seq_slice will return one or several sub-sequences from the
input sequence layer given start and end indices.</p>
<blockquote>
<div><ul class="simple">
<li>If only start indices are given, and end indices are set to None,
this layer slices the input sequence from the given start indices
to its end.</li>
<li>If only end indices are given, and start indices are set to None,
this layer slices the input sequence from its beginning to the
given end indices.</li>
<li>If start and end indices are both given, they should have the same
number of elements.</li>
</ul>
</div></blockquote>
<p>If start or end indices contains more than one elements, the input sequence
will be sliced for multiple times.</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">seq_silce</span> <span class="o">=</span> <span class="n">seq_slice</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">input_seq</span><span class="p">,</span>
                            <span class="n">starts</span><span class="o">=</span><span class="n">start_pos</span><span class="p">,</span> <span class="n">ends</span><span class="o">=</span><span class="n">end_pos</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2463
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
2464
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer, which should be a sequence.</li>
2465 2466
<li><strong>starts</strong> (<em>paddle.v2.config_base.Layer | None</em>) &#8211; The start indices to slice the input sequence.</li>
<li><strong>ends</strong> (<em>paddle.v2.config_base.Layer | None</em>) &#8211; The end indices to slice the input sequence.</li>
2467 2468 2469 2470 2471 2472 2473 2474 2475 2476 2477 2478 2479
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

2480 2481 2482
</div>
<div class="section" id="kmax-sequence-score">
<h3>kmax_sequence_score<a class="headerlink" href="#kmax-sequence-score" title="Permalink to this headline"></a></h3>
2483 2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494
</div>
<div class="section" id="sub-nested-seq">
<h3>sub_nested_seq<a class="headerlink" href="#sub-nested-seq" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">sub_nested_seq</code></dt>
<dd><p>The sub_nested_seq accepts two inputs: the first one is a nested
sequence; the second one is a set of selceted indices in the nested sequence.</p>
<p>Then sub_nest_seq trims the first nested sequence input according
to the selected indices to form a new output. This layer is useful in
beam training.</p>
<p>The example usage is:</p>
2495
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">sub_nest_seq</span> <span class="o">=</span> <span class="n">sub_nested_seq</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">data</span><span class="p">,</span> <span class="n">selected_indices</span><span class="o">=</span><span class="n">selected_ids</span><span class="p">)</span>
2496 2497 2498 2499 2500 2501 2502
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2503 2504
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer. It is a nested sequence.</li>
<li><strong>selected_indices</strong> &#8211; A set of sequence indices in the nested sequence.</li>
2505
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
2506 2507 2508 2509 2510 2511 2512 2513 2514 2515 2516 2517 2518
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

2519 2520 2521 2522 2523 2524 2525 2526
</div>
</div>
<div class="section" id="reshaping-layers">
<h2>Reshaping Layers<a class="headerlink" href="#reshaping-layers" title="Permalink to this headline"></a></h2>
<div class="section" id="block-expand">
<h3>block_expand<a class="headerlink" href="#block-expand" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
2527
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">block_expand</code></dt>
2528 2529 2530 2531 2532 2533 2534 2535 2536 2537
<dd><dl class="docutils">
<dt>Expand feature map to minibatch matrix.</dt>
<dd><ul class="first last simple">
<li>matrix width is: block_y * block_x * num_channels</li>
<li>matirx height is: outputH * outputW</li>
</ul>
</dd>
</dl>
<div class="math">
\[ \begin{align}\begin{aligned}outputH = 1 + (2 * padding_y + imgSizeH - block_y + stride_y - 1) / stride_y\\outputW = 1 + (2 * padding_x + imgSizeW - block_x + stride_x - 1) / stride_x\end{aligned}\end{align} \]</div>
2538
<p>The expanding method is the same with ExpandConvLayer, but saved the transposed
2539
value. After expanding, output.sequenceStartPositions will store timeline.
2540
The number of time steps is outputH * outputW and the dimension of each
2541
time step is block_y * block_x * num_channels. This layer can be used after
2542
convolutional neural network, and before recurrent neural network.</p>
2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555 2556
<p>The simple usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">block_expand</span> <span class="o">=</span> <span class="n">block_expand</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">,</span>
                                  <span class="n">num_channels</span><span class="o">=</span><span class="mi">128</span><span class="p">,</span>
                                  <span class="n">stride_x</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span>
                                  <span class="n">stride_y</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span>
                                  <span class="n">block_x</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span>
                                  <span class="n">block_x</span><span class="o">=</span><span class="mi">3</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2557
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
2558 2559 2560
<li><strong>num_channels</strong> (<em>int</em>) &#8211; The number of input channels. If the parameter is not set or
set to None, its actual value will be automatically set to
the channels number of the input.</li>
2561 2562 2563 2564 2565 2566
<li><strong>block_x</strong> (<em>int</em>) &#8211; The width of sub block.</li>
<li><strong>block_y</strong> (<em>int</em>) &#8211; The width of sub block.</li>
<li><strong>stride_x</strong> (<em>int</em>) &#8211; The stride size in horizontal direction.</li>
<li><strong>stride_y</strong> (<em>int</em>) &#8211; The stride size in vertical direction.</li>
<li><strong>padding_x</strong> (<em>int</em>) &#8211; The padding size in horizontal direction.</li>
<li><strong>padding_y</strong> (<em>int</em>) &#8211; The padding size in vertical direction.</li>
2567 2568 2569
<li><strong>name</strong> (<em>basestring.</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

2583 2584 2585 2586 2587 2588 2589 2590 2591
</div>
<div class="section" id="expandlevel">
<span id="api-v2-layer-expand"></span><h3>ExpandLevel<a class="headerlink" href="#expandlevel" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">ExpandLevel</code></dt>
<dd><p>Please refer to AggregateLevel first.</p>
<p>ExpandLevel supports two modes:</p>
<ul class="simple">
2592 2593
<li><code class="code docutils literal"><span class="pre">ExpandLevel.FROM_NO_SEQUENCE</span></code> means the expansion acts on
<code class="code docutils literal"><span class="pre">NO_SEQUENCE</span></code>, which will be expanded to
2594
<code class="code docutils literal"><span class="pre">SEQUENCE</span></code> or <code class="code docutils literal"><span class="pre">SUB_SEQUENCE</span></code>.</li>
2595 2596
<li><code class="code docutils literal"><span class="pre">ExpandLevel.FROM_SEQUENCE</span></code> means the expansion acts on
<code class="code docutils literal"><span class="pre">SEQUENCE</span></code>, which will be expanded to
2597 2598 2599 2600
<code class="code docutils literal"><span class="pre">SUB_SEQUENCE</span></code>.</li>
</ul>
</dd></dl>

2601 2602
</div>
<div class="section" id="expand">
2603
<h3>expand<a class="headerlink" href="#expand" title="Permalink to this headline"></a></h3>
2604 2605
<dl class="class">
<dt>
2606
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">expand</code></dt>
2607 2608
<dd><p>A layer for expanding dense data or (sequence data where the length of each
sequence is one) to sequence data.</p>
2609 2610 2611
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">expand</span> <span class="o">=</span> <span class="n">expand</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer1</span><span class="p">,</span>
                      <span class="n">expand_as</span><span class="o">=</span><span class="n">layer2</span><span class="p">,</span>
2612
                      <span class="n">expand_level</span><span class="o">=</span><span class="n">ExpandLevel</span><span class="o">.</span><span class="n">FROM_NO_SEQUENCE</span><span class="p">)</span>
2613 2614 2615 2616 2617 2618 2619
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2620
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
2621 2622 2623
<li><strong>expand_as</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; Expand the input according to this layer&#8217;s sequence infomation. And
after the operation, the input expanded will have the same number of
elememts as this layer.</li>
2624
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
2625 2626 2627
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The bias attribute. If the parameter is set to False or an object
whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined. If the
parameter is set to True, the bias is initialized to zero.</li>
2628 2629 2630
<li><strong>expand_level</strong> (<em>ExpandLevel</em>) &#8211; Whether the input layer is a sequence or the element of a sequence.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="repeat">
<h3>repeat<a class="headerlink" href="#repeat" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
2649
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">repeat</code></dt>
2650
<dd><p>A layer for repeating the input for num_repeats times.</p>
2651 2652 2653 2654 2655 2656
<p>If as_row_vector:</p>
<div class="math">
\[y  = [x_1,\cdots, x_n, \cdots, x_1, \cdots, x_n]\]</div>
<p>If not as_row_vector:</p>
<div class="math">
\[y  = [x_1,\cdots, x_1, \cdots, x_n, \cdots, x_n]\]</div>
2657 2658 2659 2660 2661 2662 2663 2664 2665
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">expand</span> <span class="o">=</span> <span class="n">repeat</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">,</span> <span class="n">num_repeats</span><span class="o">=</span><span class="mi">4</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2666
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
2667
<li><strong>num_repeats</strong> (<em>int</em>) &#8211; The times of repeating the input.</li>
2668
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
2669 2670 2671 2672
<li><strong>as_row_vector</strong> (<em>bool</em>) &#8211; Whether to treat the input as row vectors or not. If
the parameter is set to True, the repeating operation
will be performed in the column direction. Otherwise,
it will be performed in the row direction.</li>
2673
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type. paddle.v2.activation.Identity is the default activation.</li>
2674 2675
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="rotate">
<h3>rotate<a class="headerlink" href="#rotate" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
2694
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">rotate</code></dt>
2695 2696 2697 2698 2699 2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710
<dd><p>A layer for rotating 90 degrees (clock-wise) for each feature channel,
usually used when the input sample is some image or feature map.</p>
<div class="math">
\[y(j,i,:) = x(M-i-1,j,:)\]</div>
<p>where <span class="math">\(x\)</span> is (M x N x C) input, and <span class="math">\(y\)</span> is (N x M x C) output.</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">rot</span> <span class="o">=</span> <span class="n">rotate</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">,</span>
                   <span class="n">height</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span>
                   <span class="n">width</span><span class="o">=</span><span class="mi">100</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
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<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
2712 2713
<li><strong>height</strong> (<em>int</em>) &#8211; The height of the sample matrix.</li>
<li><strong>width</strong> (<em>int</em>) &#8211; The width of the sample matrix.</li>
2714
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
2715 2716
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="seq-reshape">
<h3>seq_reshape<a class="headerlink" href="#seq-reshape" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
2735
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">seq_reshape</code></dt>
2736 2737 2738 2739 2740 2741 2742 2743 2744 2745 2746 2747 2748
<dd><p>A layer for reshaping the sequence. Assume the input sequence has T instances,
the dimension of each instance is M, and the input reshape_size is N, then the
output sequence has T*M/N instances, the dimension of each instance is N.</p>
<p>Note that T*M/N must be an integer.</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">reshape</span> <span class="o">=</span> <span class="n">seq_reshape</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">,</span> <span class="n">reshape_size</span><span class="o">=</span><span class="mi">4</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
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<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
2750
<li><strong>reshape_size</strong> (<em>int</em>) &#8211; The dimension of the reshaped sequence.</li>
2751
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
2752
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type. paddle.v2.activation.Identity is the default activation.</li>
2753 2754
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
2755 2756 2757
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The bias attribute. If the parameter is set to False or an object
whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined. If the
parameter is set to True, the bias is initialized to zero.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
</div>
<div class="section" id="math-layers">
<h2>Math Layers<a class="headerlink" href="#math-layers" title="Permalink to this headline"></a></h2>
<div class="section" id="addto">
<h3>addto<a class="headerlink" href="#addto" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
2779
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">addto</code></dt>
2780 2781 2782 2783 2784 2785 2786
<dd><p>AddtoLayer.</p>
<div class="math">
\[y = f(\sum_{i} x_i + b)\]</div>
<p>where <span class="math">\(y\)</span> is output, <span class="math">\(x\)</span> is input, <span class="math">\(b\)</span> is bias,
and <span class="math">\(f\)</span> is activation function.</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">addto</span> <span class="o">=</span> <span class="n">addto</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="p">[</span><span class="n">layer1</span><span class="p">,</span> <span class="n">layer2</span><span class="p">],</span>
2787
                    <span class="n">act</span><span class="o">=</span><span class="n">paddle</span><span class="o">.</span><span class="n">v2</span><span class="o">.</span><span class="n">activation</span><span class="o">.</span><span class="n">Relu</span><span class="p">(),</span>
2788 2789 2790
                    <span class="n">bias_attr</span><span class="o">=</span><span class="bp">False</span><span class="p">)</span>
</pre></div>
</div>
2791 2792 2793
<p>This layer just simply adds all input layers together, then activates the
sum. All inputs should share the same dimension, which is also the dimension
of this layer&#8217;s output.</p>
2794 2795 2796 2797 2798 2799 2800 2801
<p>There is no weight matrix for each input, because it just a simple add
operation. If you want a complicated operation before add, please use
mixed.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2802
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
2803
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer | list | tuple</em>) &#8211; The input layers. It could be a paddle.v2.config_base.Layer or list/tuple of
2804
paddle.v2.config_base.Layer.</li>
2805
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation Type. paddle.v2.activation.Linear is the default activation.</li>
2806 2807 2808
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The bias attribute. If the parameter is set to False or an object
whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined. If the
parameter is set to True, the bias is initialized to zero.</li>
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<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="linear-comb">
<h3>linear_comb<a class="headerlink" href="#linear-comb" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
2829
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">linear_comb</code></dt>
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<dd><dl class="docutils">
<dt>A layer for weighted sum of vectors takes two inputs.</dt>
<dd><ul class="first last simple">
<li><dl class="first docutils">
<dt>Input: size of weights is M</dt>
<dd>size of vectors is M*N</dd>
</dl>
</li>
<li>Output: a vector of size=N</li>
</ul>
</dd>
</dl>
<div class="math">
\[z(i) = \sum_{j=0}^{M-1} x(j) y(i+Nj)\]</div>
<p>where <span class="math">\(0 \le i \le N-1\)</span></p>
<p>Or in the matrix notation:</p>
<div class="math">
\[z = x^\mathrm{T} Y\]</div>
<dl class="docutils">
<dt>In this formular:</dt>
<dd><ul class="first last simple">
<li><span class="math">\(x\)</span>: weights</li>
<li><span class="math">\(y\)</span>: vectors.</li>
<li><span class="math">\(z\)</span>: the output.</li>
</ul>
</dd>
</dl>
<p>Note that the above computation is for one sample. Multiple samples are
processed in one batch.</p>
<p>The simple usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">linear_comb</span> <span class="o">=</span> <span class="n">linear_comb</span><span class="p">(</span><span class="n">weights</span><span class="o">=</span><span class="n">weight</span><span class="p">,</span> <span class="n">vectors</span><span class="o">=</span><span class="n">vectors</span><span class="p">,</span>
                                <span class="n">size</span><span class="o">=</span><span class="n">elem_dim</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>weights</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The weight layer.</li>
<li><strong>vectors</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The vector layer.</li>
2871
<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of this layer.</li>
2872
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
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<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="interpolation">
<h3>interpolation<a class="headerlink" href="#interpolation" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
2893
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">interpolation</code></dt>
2894
<dd><p>This layer performs linear interpolation on two inputs,
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which is used in NEURAL TURING MACHINE.</p>
<div class="math">
\[y.row[i] = w[i] * x_1.row[i] + (1 - w[i]) * x_2.row[i]\]</div>
<p>where <span class="math">\(x_1\)</span> and <span class="math">\(x_2\)</span> are two (batchSize x dataDim) inputs,
<span class="math">\(w\)</span> is (batchSize x 1) weight vector, and <span class="math">\(y\)</span> is
(batchSize x dataDim) output.</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">interpolation</span> <span class="o">=</span> <span class="n">interpolation</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="p">[</span><span class="n">layer1</span><span class="p">,</span> <span class="n">layer2</span><span class="p">],</span> <span class="n">weight</span><span class="o">=</span><span class="n">layer3</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2910
<li><strong>input</strong> (<em>list | tuple</em>) &#8211; The input of this layer.</li>
2911
<li><strong>weight</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; Weight layer.</li>
2912
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
2913 2914
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="bilinear-interp">
<h3>bilinear_interp<a class="headerlink" href="#bilinear-interp" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
2933
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">bilinear_interp</code></dt>
2934
<dd><p>This layer implements bilinear interpolation on convolutional layer&#8217;s output.</p>
2935 2936 2937 2938 2939 2940 2941 2942 2943 2944
<p>Please refer to Wikipedia: <a class="reference external" href="https://en.wikipedia.org/wiki/Bilinear_interpolation">https://en.wikipedia.org/wiki/Bilinear_interpolation</a></p>
<p>The simple usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">bilinear</span> <span class="o">=</span> <span class="n">bilinear_interp</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer1</span><span class="p">,</span> <span class="n">out_size_x</span><span class="o">=</span><span class="mi">64</span><span class="p">,</span> <span class="n">out_size_y</span><span class="o">=</span><span class="mi">64</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
2945 2946 2947 2948 2949 2950
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer.</em>) &#8211; The input of this layer.</li>
<li><strong>out_size_x</strong> (<em>int</em>) &#8211; The width of the output.</li>
<li><strong>out_size_y</strong> (<em>int</em>) &#8211; The height of the output.</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

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</div>
<div class="section" id="dropout">
<h3>dropout<a class="headerlink" href="#dropout" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">dropout</code></dt>
<dd><p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">dropout</span> <span class="o">=</span> <span class="n">dropout</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span> <span class="n">dropout_rate</span><span class="o">=</span><span class="mf">0.5</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
<li><strong>dropout_rate</strong> (<em>float</em>) &#8211; The probability of dropout.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

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</div>
<div class="section" id="dot-prod">
<h3>dot_prod<a class="headerlink" href="#dot-prod" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">dot_prod</code></dt>
<dd><p>A layer for computing the dot product of two vectors.</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">dot_prod</span> <span class="o">=</span> <span class="n">dot_prod</span><span class="p">(</span><span class="n">input1</span><span class="o">=</span><span class="n">vec1</span><span class="p">,</span> <span class="n">input2</span><span class="o">=</span><span class="n">vec2</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
3012
<li><strong>input1</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input layer.</li>
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<li><strong>input2</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The second input layer.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="out-prod">
<h3>out_prod<a class="headerlink" href="#out-prod" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">out_prod</code></dt>
<dd><p>A layer for computing the outer product of two vectors
The result is a matrix of size(input1) x size(input2)</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">out_prod</span> <span class="o">=</span> <span class="n">out_prod</span><span class="p">(</span><span class="n">input1</span><span class="o">=</span><span class="n">vec1</span><span class="p">,</span> <span class="n">input2</span><span class="o">=</span><span class="n">vec2</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>input1</strong> &#8211; The first input layer.</li>
<li><strong>input2</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The second input layer.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

3064 3065 3066 3067 3068
</div>
<div class="section" id="power">
<h3>power<a class="headerlink" href="#power" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
3069
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">power</code></dt>
3070 3071 3072 3073
<dd><p>This layer applies a power function to a vector element-wise,
which is used in NEURAL TURING MACHINE.</p>
<div class="math">
\[y = x^w\]</div>
3074 3075
<p>where <span class="math">\(x\)</span> is an input vector, <span class="math">\(w\)</span> is a scalar exponent,
and <span class="math">\(y\)</span> is an output vector.</p>
3076 3077 3078 3079 3080 3081 3082 3083 3084
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">power</span> <span class="o">=</span> <span class="n">power</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer1</span><span class="p">,</span> <span class="n">weight</span><span class="o">=</span><span class="n">layer2</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
3085
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
3086
<li><strong>weight</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The exponent of the power.</li>
3087
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
3088 3089
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="scaling">
<h3>scaling<a class="headerlink" href="#scaling" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
3108
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">scaling</code></dt>
3109 3110 3111 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124
<dd><p>A layer for multiplying input vector by weight scalar.</p>
<div class="math">
\[y  = w x\]</div>
<p>where <span class="math">\(x\)</span> is size=dataDim input, <span class="math">\(w\)</span> is size=1 weight,
and <span class="math">\(y\)</span> is size=dataDim output.</p>
<p>Note that the above computation is for one sample. Multiple samples are
processed in one batch.</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">scale</span> <span class="o">=</span> <span class="n">scaling</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer1</span><span class="p">,</span> <span class="n">weight</span><span class="o">=</span><span class="n">layer2</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
3125
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
3126
<li><strong>weight</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The weight of each sample.</li>
3127
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
3128 3129
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141 3142
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

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</div>
<div class="section" id="clip">
<h3>clip<a class="headerlink" href="#clip" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">clip</code></dt>
3149
<dd><p>A layer for clipping the input value by the threshold.</p>
3150
<div class="math">
3151 3152
\[out[i] = \min (\max (in[i],p_{1} ),p_{2} )\]</div>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">clip</span> <span class="o">=</span> <span class="n">clip</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span> <span class="nb">min</span><span class="o">=-</span><span class="mi">10</span><span class="p">,</span> <span class="nb">max</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
3153 3154 3155 3156 3157 3158
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
3159 3160 3161 3162 3163 3164 3165
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer.</em>) &#8211; The input of this layer.</li>
<li><strong>min</strong> (<em>float</em>) &#8211; The lower threshold for clipping.</li>
<li><strong>max</strong> (<em>float</em>) &#8211; The upper threshold for clipping.</li>
</ul>
</td>
3166
</tr>
3167 3168
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
3169
</tr>
3170 3171
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
3172 3173 3174 3175 3176
</tr>
</tbody>
</table>
</dd></dl>

3177 3178 3179 3180 3181 3182 3183 3184 3185 3186 3187 3188 3189 3190
</div>
<div class="section" id="resize">
<h3>resize<a class="headerlink" href="#resize" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">resize</code></dt>
<dd><p>The resize layer resizes the input matrix with a shape of [Height, Width]
into the output matrix with a shape of [Height x Width / size, size],
where size is the parameter of this layer indicating the output dimension.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
3191
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer.</em>) &#8211; The input of this layer.</li>
3192
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
3193
<li><strong>size</strong> (<em>int</em>) &#8211; The resized output dimension of this layer.</li>
3194 3195 3196 3197 3198 3199 3200 3201 3202 3203 3204 3205 3206
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">A paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

3207 3208 3209 3210 3211
</div>
<div class="section" id="slope-intercept">
<h3>slope_intercept<a class="headerlink" href="#slope-intercept" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
3212
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">slope_intercept</code></dt>
3213
<dd><p>This layer for applying a slope and an intercept to the input.</p>
3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224
<div class="math">
\[y = slope * x + intercept\]</div>
<p>The simple usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">scale</span> <span class="o">=</span> <span class="n">slope_intercept</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span> <span class="n">slope</span><span class="o">=-</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">intercept</span><span class="o">=</span><span class="mf">1.0</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
3225
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
3226
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
3227 3228 3229 3230
<li><strong>slope</strong> (<em>float</em>) &#8211; The scale factor.</li>
<li><strong>intercept</strong> (<em>float</em>) &#8211; The offset.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="tensor">
<h3>tensor<a class="headerlink" href="#tensor" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
3249
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">tensor</code></dt>
3250 3251
<dd><p>This layer performs tensor operation on two inputs.
For example:</p>
3252 3253 3254 3255 3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269 3270 3271 3272 3273
<div class="math">
\[y_{i} = a * W_{i} * {b^\mathrm{T}}, i=0,1,...,K-1\]</div>
<dl class="docutils">
<dt>In this formular:</dt>
<dd><ul class="first last simple">
<li><span class="math">\(a\)</span>: the first input contains M elements.</li>
<li><span class="math">\(b\)</span>: the second input contains N elements.</li>
<li><span class="math">\(y_{i}\)</span>: the i-th element of y.</li>
<li><span class="math">\(W_{i}\)</span>: the i-th learned weight, shape if [M, N]</li>
<li><span class="math">\(b^\mathrm{T}\)</span>: the transpose of <span class="math">\(b_{2}\)</span>.</li>
</ul>
</dd>
</dl>
<p>The simple usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">tensor</span> <span class="o">=</span> <span class="n">tensor</span><span class="p">(</span><span class="n">a</span><span class="o">=</span><span class="n">layer1</span><span class="p">,</span> <span class="n">b</span><span class="o">=</span><span class="n">layer2</span><span class="p">,</span> <span class="n">size</span><span class="o">=</span><span class="mi">1000</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
3274
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
3275 3276 3277 3278 3279 3280
<li><strong>a</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input of this layer.</li>
<li><strong>b</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The second input of this layer.</li>
<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of this layer.</li>
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type. paddle.v2.activation.Linear is the default activation.</li>
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for
details.</li>
3281 3282 3283 3284
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The parameter attribute for bias. If this parameter is set to
False or an object whose type is not paddle.v2.attr.ParameterAttribute,
no bias is defined. If this parameter is set to True,
the bias is initialized to zero.</li>
3285 3286
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute | None</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="cos-sim">
<span id="api-v2-layer-cos-sim"></span><h3>cos_sim<a class="headerlink" href="#cos-sim" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
3305
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">cos_sim</code></dt>
3306 3307 3308 3309 3310 3311 3312 3313 3314 3315 3316 3317 3318 3319 3320 3321 3322 3323
<dd><p>Cosine Similarity Layer. The cosine similarity equation is here.</p>
<div class="math">
\[similarity = cos(\theta) = {\mathbf{a} \cdot \mathbf{b}
\over \|\mathbf{a}\| \|\mathbf{b}\|}\]</div>
<p>The size of a is M, size of b is M*N,
Similarity will be calculated N times by step M. The output size is
N. The scale will be multiplied to similarity.</p>
<p>Note that the above computation is for one sample. Multiple samples are
processed in one batch.</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">cos</span> <span class="o">=</span> <span class="n">cos_sim</span><span class="p">(</span><span class="n">a</span><span class="o">=</span><span class="n">layer1</span><span class="p">,</span> <span class="n">b</span><span class="o">=</span><span class="n">layer2</span><span class="p">,</span> <span class="n">size</span><span class="o">=</span><span class="mi">3</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
3324
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
3325 3326 3327 3328 3329
<li><strong>a</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input of this layer.</li>
<li><strong>b</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The second input of this layer.</li>
<li><strong>scale</strong> (<em>float</em>) &#8211; The scale of the cosine similarity. 1 is the default value.</li>
<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of this layer. NOTE size_a * size should equal size_b.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for details.</li>
3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341 3342
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

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</div>
<div class="section" id="l2-distance">
<h3>l2_distance<a class="headerlink" href="#l2-distance" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">l2_distance</code></dt>
<dd><p>This layer calculates and returns the Euclidean distance between two input
vectors x and y. The equation is as follows:</p>
<div class="math">
\[l2_distance(\mathbf{x}, \mathbf{y}) = \sqrt{\sum_{i=1}^D(x_i - y_i)}\]</div>
<p>The output size of this layer is fixed to be 1. Note that the above
computation is for one sample. Multiple samples are processed in one batch.</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">l2_sim</span> <span class="o">=</span> <span class="n">l2_distance</span><span class="p">(</span><span class="n">x</span><span class="o">=</span><span class="n">layer1</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="n">layer2</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>x</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input x for this layer, whose output is a matrix with
dimensionality N x D. N is the sample number in a mini-batch.
D is the dimensionality of x&#8217;s output.</li>
<li><strong>y</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The second input y for this layer, whose output is a matrix with
dimensionality N x D. N is the sample number in a mini-batch.
D is the dimensionality of y&#8217;s output.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attributes, for example, drop rate.
See paddle.v2.attr.ExtraAttribute for more details.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">The returned paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

3386 3387 3388 3389 3390
</div>
<div class="section" id="trans">
<h3>trans<a class="headerlink" href="#trans" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
3391
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">trans</code></dt>
3392 3393 3394 3395 3396 3397 3398 3399 3400 3401 3402 3403 3404
<dd><p>A layer for transposing a minibatch matrix.</p>
<div class="math">
\[y = x^\mathrm{T}\]</div>
<p>where <span class="math">\(x\)</span> is (M x N) input, and <span class="math">\(y\)</span> is (N x M) output.</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">trans</span> <span class="o">=</span> <span class="n">trans</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
3405
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
3406
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
3407 3408
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
3409 3410 3411 3412 3413 3414 3415 3416 3417 3418 3419 3420 3421
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

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</div>
<div class="section" id="scale-shift">
<h3>scale_shift<a class="headerlink" href="#scale-shift" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">scale_shift</code></dt>
<dd><p>A layer applies a linear transformation to each element in each row of
3429
the input matrix. For each element, the layer first re-scales it and then
3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441 3442
adds a bias to it.</p>
<p>This layer is very like the SlopeInterceptLayer, except the scale and
bias are trainable.</p>
<div class="math">
\[y = w * x + b\]</div>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">scale_shift</span> <span class="o">=</span> <span class="n">scale_shift</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span> <span class="n">bias_attr</span><span class="o">=</span><span class="bp">False</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
3443
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
3444
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
3445 3446 3447 3448 3449
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute of scaling. See paddle.v2.attr.ParameterAttribute for
details.</li>
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The bias attribute. If the parameter is set to False or an object
whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined. If the
parameter is set to True, the bias is initialized to zero.</li>
3450 3451 3452 3453 3454 3455 3456 3457 3458 3459 3460 3461 3462
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

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</div>
<div class="section" id="factorization-machine">
<h3>factorization_machine<a class="headerlink" href="#factorization-machine" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">factorization_machine</code></dt>
<dd><p>The Factorization Machine models pairwise feature interactions as inner
product of the learned latent vectors corresponding to each input feature.
The Factorization Machine can effectively capture feature interactions
especially when the input is sparse.</p>
<p>This implementation only consider the 2-order feature interactions using
Factorization Machine with the formula:</p>
<div class="math">
\[y = \sum_{i=1}^{n-1}\sum_{j=i+1}^n\langle v_i, v_j \rangle x_i x_j\]</div>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">X is the input vector with size n. V is the factor matrix. Each row of V
is the latent vector corresponding to each input dimesion. The size of
each latent vector is k.</p>
</div>
<p>For details of Factorization Machine, please refer to the paper:
Factorization machines.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input layer. Supported input types: all input data types
on CPU, and only dense input types on GPU.</li>
<li><strong>factor_size</strong> &#8211; The hyperparameter that defines the dimensionality of
the latent vector size.</li>
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation Type. Default is linear activation.</li>
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for
details.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttributeNone</em>) &#8211; Extra Layer config.</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

3511 3512 3513 3514 3515 3516
</div>
</div>
<div class="section" id="sampling-layers">
<h2>Sampling Layers<a class="headerlink" href="#sampling-layers" title="Permalink to this headline"></a></h2>
<div class="section" id="maxid">
<h3>maxid<a class="headerlink" href="#maxid" title="Permalink to this headline"></a></h3>
3517 3518
<dl class="class">
<dt>
3519
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">max_id</code></dt>
3520 3521 3522 3523
<dd><p>A layer for finding the id which has the maximal value for each sample.
The result is stored in output.ids.</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">maxid</span> <span class="o">=</span> <span class="n">maxid</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">)</span>
3524 3525
</pre></div>
</div>
3526 3527 3528 3529 3530
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
3531
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
3532
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
3533 3534
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
3535 3536 3537 3538 3539 3540 3541 3542 3543 3544 3545 3546 3547
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

3548 3549 3550 3551 3552
</div>
<div class="section" id="sampling-id">
<h3>sampling_id<a class="headerlink" href="#sampling-id" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
3553
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">sampling_id</code></dt>
3554
<dd><p>A layer for sampling id from a multinomial distribution from the input layer.
3555 3556 3557 3558 3559 3560 3561 3562 3563 3564
Sampling one id for one sample.</p>
<p>The simple usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">samping_id</span> <span class="o">=</span> <span class="n">sampling_id</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
3565
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
3566
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
3567 3568
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
3569 3570 3571 3572 3573 3574 3575 3576 3577 3578 3579 3580 3581
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

3582 3583 3584 3585 3586 3587
</div>
<div class="section" id="multiplex">
<h3>multiplex<a class="headerlink" href="#multiplex" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">multiplex</code></dt>
3588 3589 3590
<dd><p>This layer multiplex multiple layers according to the indexes,
which are provided by the first input layer.
inputs[0]: the indexes of the layers to form the output of size batchSize.
3591
inputs[1:N]; the candidate output data.
3592 3593
For each index i from 0 to batchSize - 1, the i-th row of the output is the
the same to the i-th row of the (index[i] + 1)-th layer.</p>
3594 3595 3596 3597 3598 3599 3600 3601 3602 3603 3604 3605 3606 3607 3608 3609 3610
<p>For each i-th row of output:
.. math:</p>
<div class="highlight-default"><div class="highlight"><pre><span></span><span class="n">y</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span> <span class="o">=</span> <span class="n">x_</span><span class="p">{</span><span class="n">x_</span><span class="p">{</span><span class="mi">0</span><span class="p">}[</span><span class="n">i</span><span class="p">]</span> <span class="o">+</span> <span class="mi">1</span><span class="p">}[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">],</span> <span class="n">j</span> <span class="o">=</span> <span class="mi">0</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span> <span class="o">...</span> <span class="p">,</span> <span class="p">(</span><span class="n">x_</span><span class="p">{</span><span class="mi">1</span><span class="p">}</span><span class="o">.</span><span class="n">width</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span>
</pre></div>
</div>
<p>where, y is output. <span class="math">\(x_{k}\)</span> is the k-th input layer and
<span class="math">\(k = x_{0}[i] + 1\)</span>.</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">maxid</span> <span class="o">=</span> <span class="n">multiplex</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layers</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>input</strong> (<em>list of paddle.v2.config_base.Layer</em>) &#8211; Input layers.</li>
3611
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
3612 3613
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
3614 3615 3616 3617 3618 3619 3620 3621 3622 3623 3624 3625 3626
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

3627 3628 3629 3630 3631 3632 3633 3634
</div>
</div>
<div class="section" id="cost-layers">
<span id="api-v2-layer-costs"></span><h2>Cost Layers<a class="headerlink" href="#cost-layers" title="Permalink to this headline"></a></h2>
<div class="section" id="cross-entropy-cost">
<h3>cross_entropy_cost<a class="headerlink" href="#cross-entropy-cost" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
3635
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">cross_entropy_cost</code></dt>
3636
<dd><p>A loss layer for multi class entropy.</p>
3637
<p>The example usage is:</p>
3638 3639 3640 3641 3642 3643 3644 3645 3646
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">cost</span> <span class="o">=</span> <span class="n">cross_entropy</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span>
                     <span class="n">label</span><span class="o">=</span><span class="n">label</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
3647
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input layer.</li>
3648
<li><strong>label</strong> &#8211; The input label.</li>
3649 3650
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>coeff</strong> (<em>float</em>) &#8211; The weight of the gradient in the back propagation.
3651 3652 3653
1.0 is the default value.</li>
<li><strong>weight</strong> (<em>LayerOutout</em>) &#8211; The weight layer defines a weight for each sample in the
mini-batch. It is optional.</li>
3654 3655
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
3656 3657 3658 3659 3660 3661
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
3662
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
3663 3664 3665 3666 3667 3668 3669 3670 3671 3672 3673
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="cross-entropy-with-selfnorm-cost">
<h3>cross_entropy_with_selfnorm_cost<a class="headerlink" href="#cross-entropy-with-selfnorm-cost" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
3674
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">cross_entropy_with_selfnorm_cost</code></dt>
3675 3676
<dd><p>A loss layer for multi class entropy with selfnorm.
Input should be a vector of positive numbers, without normalization.</p>
3677
<p>The example usage is:</p>
3678 3679 3680 3681 3682 3683 3684 3685 3686
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">cost</span> <span class="o">=</span> <span class="n">cross_entropy_with_selfnorm</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span>
                                   <span class="n">label</span><span class="o">=</span><span class="n">label</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
3687
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input layer.</li>
3688
<li><strong>label</strong> &#8211; The input label.</li>
3689 3690
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>coeff</strong> (<em>float</em>) &#8211; The weight of the gradient in the back propagation.
3691
1.0 is the default value.</li>
3692 3693 3694
<li><strong>softmax_selfnorm_alpha</strong> (<em>float</em>) &#8211; The scale factor affects the cost.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
3695 3696 3697 3698 3699 3700
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
3701
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="multi-binary-label-cross-entropy-cost">
<h3>multi_binary_label_cross_entropy_cost<a class="headerlink" href="#multi-binary-label-cross-entropy-cost" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
3713
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">multi_binary_label_cross_entropy_cost</code></dt>
3714
<dd><p>A loss layer for multi binary label cross entropy.</p>
3715
<p>The example usage is:</p>
3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">cost</span> <span class="o">=</span> <span class="n">multi_binary_label_cross_entropy</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span>
                                        <span class="n">label</span><span class="o">=</span><span class="n">label</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input layer.</li>
<li><strong>label</strong> &#8211; The input label.</li>
3727 3728
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>coeff</strong> (<em>float</em>) &#8211; The weight of the gradient in the back propagation.
3729
1.0 is the default value.</li>
3730 3731
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
3732 3733 3734 3735 3736 3737 3738 3739 3740 3741 3742 3743 3744 3745
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
3746 3747
<div class="section" id="huber-regression-cost">
<h3>huber_regression_cost<a class="headerlink" href="#huber-regression-cost" title="Permalink to this headline"></a></h3>
3748 3749
<dl class="class">
<dt>
3750
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">huber_regression_cost</code></dt>
3751
<dd><p>In statistics, the Huber loss is a loss function used in robust regression,
3752 3753
that is less sensitive to outliers in data than the squared error loss.
Given a prediction f(x), a label y and <span class="math">\(\delta\)</span>, the loss function
3754 3755 3756 3757
is defined as:</p>
<div class="math">
\[ \begin{align}\begin{aligned}loss = 0.5*(y-f(x))^{2}, | y-f(x) | &lt; \delta\\loss = \delta | y-f(x) | - 0.5 \delta ^2, otherwise\end{aligned}\end{align} \]</div>
<p>The example usage is:</p>
3758
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">cost</span> <span class="o">=</span> <span class="n">huber_regression_cost</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="n">label</span><span class="p">)</span>
3759 3760 3761 3762 3763 3764
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
3765 3766 3767 3768 3769 3770 3771 3772 3773 3774 3775
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input layer.</li>
<li><strong>label</strong> &#8211; The input label.</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>delta</strong> (<em>float</em>) &#8211; The difference between the observed and predicted values.</li>
<li><strong>coeff</strong> (<em>float</em>) &#8211; The weight of the gradient in the back propagation.
1.0 is the default value.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
</ul>
</td>
3776
</tr>
3777 3778
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
3779
</tr>
3780 3781
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer.</p>
</td>
3782 3783 3784
</tr>
</tbody>
</table>
3785 3786 3787 3788 3789 3790 3791 3792
</dd></dl>

</div>
<div class="section" id="huber-classification-cost">
<h3>huber_classification_cost<a class="headerlink" href="#huber-classification-cost" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">huber_classification_cost</code></dt>
3793
<dd><p>For classification purposes, a variant of the Huber loss called modified Huber
3794
is sometimes used. Given a prediction f(x) (a real-valued classifier score) and
3795 3796
a true binary class label <span class="math">\(y\in \{-1, 1 \}\)</span>, the modified Huber
loss is defined as:</p>
3797 3798 3799 3800
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">cost</span> <span class="o">=</span> <span class="n">huber_classification_cost</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span> <span class="n">label</span><span class="o">=</span><span class="n">label</span><span class="p">)</span>
</pre></div>
</div>
3801
<table class="docutils field-list" frame="void" rules="none">
3802 3803 3804
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
3805 3806 3807 3808 3809 3810 3811 3812 3813 3814
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input layer.</li>
<li><strong>label</strong> &#8211; The input label.</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>coeff</strong> (<em>float</em>) &#8211; The weight of the gradient in the back propagation.
1.0 is the default value.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
</ul>
</td>
3815
</tr>
3816 3817
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
3818
</tr>
3819 3820
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
3821 3822 3823
</tr>
</tbody>
</table>
3824 3825 3826 3827 3828 3829 3830
</dd></dl>

</div>
<div class="section" id="lambda-cost">
<h3>lambda_cost<a class="headerlink" href="#lambda-cost" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
3831
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">lambda_cost</code></dt>
3832
<dd><p>lambdaCost for lambdaRank LTR approach.</p>
3833
<p>The example usage is:</p>
3834 3835 3836 3837 3838 3839 3840 3841 3842 3843 3844
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">cost</span> <span class="o">=</span> <span class="n">lambda_cost</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span>
                   <span class="n">score</span><span class="o">=</span><span class="n">score</span><span class="p">,</span>
                   <span class="n">NDCG_num</span><span class="o">=</span><span class="mi">8</span><span class="p">,</span>
                   <span class="n">max_sort_size</span><span class="o">=-</span><span class="mi">1</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
3845 3846 3847
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input of this layer, which is often a document
samples list of the same query and whose type must be sequence.</li>
<li><strong>score</strong> &#8211; The scores of the samples.</li>
3848
<li><strong>NDCG_num</strong> (<em>int</em>) &#8211; The size of NDCG (Normalized Discounted Cumulative Gain),
3849
e.g., 5 for NDCG&#64;5. It must be less than or equal to the
3850 3851 3852 3853 3854 3855 3856 3857 3858
minimum size of the list.</li>
<li><strong>max_sort_size</strong> (<em>int</em>) &#8211; The size of partial sorting in calculating gradient. If
max_sort_size is equal to -1 or greater than the number
of the samples in the list, then the algorithm will sort
the entire list to compute the gradient. In other cases,
max_sort_size must be greater than or equal to NDCG_num.</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
3859 3860 3861 3862 3863 3864 3865 3866 3867 3868 3869 3870 3871 3872
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
3873 3874
<div class="section" id="square-error-cost">
<h3>square_error_cost<a class="headerlink" href="#square-error-cost" title="Permalink to this headline"></a></h3>
3875 3876
<dl class="class">
<dt>
3877 3878
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">square_error_cost</code></dt>
<dd><p>sum of square error cost:</p>
3879
<div class="math">
3880
\[cost = \sum_{i=1}^N(t_i-y_i)^2\]</div>
3881
<table class="docutils field-list" frame="void" rules="none">
3882 3883 3884
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
3885
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
3886
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
3887 3888 3889 3890 3891 3892 3893 3894
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input layer.</li>
<li><strong>label</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input label.</li>
<li><strong>weight</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The weight layer defines a weight for each sample in the
mini-batch. It is optional.</li>
<li><strong>coeff</strong> (<em>float</em>) &#8211; The weight of the gradient in the back propagation.
1.0 is the default value.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
3895 3896
</ul>
</td>
3897
</tr>
3898 3899
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
3900
</tr>
3901 3902
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
3903 3904 3905 3906
</tr>
</tbody>
</table>
</dd></dl>
3907 3908

</div>
3909 3910
<div class="section" id="rank-cost">
<h3>rank_cost<a class="headerlink" href="#rank-cost" title="Permalink to this headline"></a></h3>
3911 3912
<dl class="class">
<dt>
3913
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">rank_cost</code></dt>
3914 3915 3916
<dd><p>A cost Layer for learning to rank using gradient descent.</p>
<dl class="docutils">
<dt>Reference:</dt>
3917
<dd><a class="reference external" href="http://research.microsoft.com/en-us/um/people/cburges/papers/ICML_ranking.pdf">Learning to Rank using Gradient Descent</a></dd>
3918
</dl>
3919 3920 3921 3922 3923 3924 3925 3926 3927 3928 3929 3930 3931
<div class="math">
\[ \begin{align}\begin{aligned}C_{i,j} &amp; = -\tilde{P_{ij}} * o_{i,j} + log(1 + e^{o_{i,j}})\\o_{i,j} &amp; =  o_i - o_j\\\tilde{P_{i,j}} &amp; = \{0, 0.5, 1\} \ or \ \{0, 1\}\end{aligned}\end{align} \]</div>
<dl class="docutils">
<dt>In this formula:</dt>
<dd><ul class="first last simple">
<li><span class="math">\(C_{i,j}\)</span> is the cross entropy cost.</li>
<li><span class="math">\(\tilde{P_{i,j}}\)</span> is the label. 1 means positive order
and 0 means reverse order.</li>
<li><span class="math">\(o_i\)</span> and <span class="math">\(o_j\)</span>: the left output and right output.
Their dimension is one.</li>
</ul>
</dd>
</dl>
3932
<p>The example usage is:</p>
3933 3934 3935 3936 3937 3938 3939 3940 3941 3942 3943 3944 3945
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">cost</span> <span class="o">=</span> <span class="n">rank_cost</span><span class="p">(</span><span class="n">left</span><span class="o">=</span><span class="n">out_left</span><span class="p">,</span>
                 <span class="n">right</span><span class="o">=</span><span class="n">out_right</span><span class="p">,</span>
                 <span class="n">label</span><span class="o">=</span><span class="n">label</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>left</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input, the size of this layer is 1.</li>
<li><strong>right</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The right input, the size of this layer is 1.</li>
<li><strong>label</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; Label is 1 or 0, means positive order and reverse order.</li>
3946 3947 3948 3949 3950 3951 3952
<li><strong>weight</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The weight layer defines a weight for each sample in the
mini-batch. It is optional.</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>coeff</strong> (<em>float</em>) &#8211; The weight of the gradient in the back propagation.
1.0 is the default value.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
3953 3954 3955 3956 3957 3958 3959 3960 3961 3962 3963 3964 3965 3966 3967 3968 3969 3970
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="sum-cost">
<h3>sum_cost<a class="headerlink" href="#sum-cost" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
3971
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">sum_cost</code></dt>
3972
<dd><p>A loss layer which calculates the sum of the input as loss.</p>
3973
<p>The example usage is:</p>
3974 3975 3976 3977 3978 3979 3980 3981
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">cost</span> <span class="o">=</span> <span class="n">sum_cost</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
3982 3983 3984 3985
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
3986 3987 3988 3989 3990 3991 3992 3993 3994 3995 3996 3997 3998 3999 4000 4001 4002 4003
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer.</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="crf">
<h3>crf<a class="headerlink" href="#crf" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
4004
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">crf</code></dt>
4005 4006
<dd><p>A layer for calculating the cost of sequential conditional random
field model.</p>
4007
<p>The example usage is:</p>
4008 4009 4010 4011 4012 4013 4014 4015 4016 4017
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">crf</span> <span class="o">=</span> <span class="n">crf</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span>
                <span class="n">label</span><span class="o">=</span><span class="n">label</span><span class="p">,</span>
                <span class="n">size</span><span class="o">=</span><span class="n">label_dim</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
4018 4019
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input layer.</li>
<li><strong>label</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input label.</li>
4020
<li><strong>size</strong> (<em>int</em>) &#8211; The category number.</li>
4021 4022 4023 4024 4025 4026 4027 4028 4029
<li><strong>weight</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The weight layer defines a weight for each sample in the
mini-batch. It is optional.</li>
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for
details.</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>coeff</strong> (<em>float</em>) &#8211; The weight of the gradient in the back propagation.
1.0 is the default value.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
4030 4031 4032 4033 4034 4035 4036 4037 4038 4039 4040 4041 4042 4043 4044 4045 4046 4047
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="crf-decoding">
<h3>crf_decoding<a class="headerlink" href="#crf-decoding" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
4048
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">crf_decoding</code></dt>
4049 4050
<dd><p>A layer for calculating the decoding sequence of sequential conditional
random field model. The decoding sequence is stored in output.ids.
4051 4052 4053
If the input &#8216;label&#8217; is provided, it is treated as the ground-truth label, and
this layer will also calculate error. output.value[i] is 1 for an incorrect
decoding and 0 for the correct.</p>
4054
<p>The example usage is:</p>
4055 4056 4057 4058 4059 4060 4061 4062 4063 4064
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">crf_decoding</span> <span class="o">=</span> <span class="n">crf_decoding</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span>
                                  <span class="n">size</span><span class="o">=</span><span class="n">label_dim</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The first input layer.</li>
4065 4066 4067 4068 4069 4070 4071
<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of this layer.</li>
<li><strong>label</strong> (<em>paddle.v2.config_base.Layer | None</em>) &#8211; The input label.</li>
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for
details.</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
4072 4073 4074 4075 4076 4077 4078 4079 4080 4081 4082 4083 4084 4085 4086 4087 4088 4089
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="ctc">
<h3>ctc<a class="headerlink" href="#ctc" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
4090
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">ctc</code></dt>
4091
<dd><p>Connectionist Temporal Classification (CTC) is designed for temporal
4092
classication task. e.g. sequence labeling problems where the
4093
alignment between the inputs and the target labels is unknown.</p>
4094 4095
<dl class="docutils">
<dt>Reference:</dt>
4096 4097
<dd><a class="reference external" href="http://machinelearning.wustl.edu/mlpapers/paper_files/icml2006_GravesFGS06.pdf">Connectionist Temporal Classification: Labelling Unsegmented Sequence Data
with Recurrent Neural Networks</a></dd>
4098
</dl>
4099 4100
<div class="admonition note">
<p class="first admonition-title">Note</p>
4101 4102 4103 4104 4105
<p class="last">Considering the &#8216;blank&#8217; label needed by CTC, you need to use (num_classes + 1)
as the size of the input, where num_classes is the category number.
And the &#8216;blank&#8217; is the last category index. So the size of &#8216;input&#8217; layer (e.g.
fc with softmax activation) should be (num_classes + 1). The size of
ctc should also be (num_classes + 1).</p>
4106
</div>
4107
<p>The example usage is:</p>
4108 4109 4110 4111 4112 4113 4114 4115 4116 4117 4118
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">ctc</span> <span class="o">=</span> <span class="n">ctc</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span>
                <span class="n">label</span><span class="o">=</span><span class="n">label</span><span class="p">,</span>
                <span class="n">size</span><span class="o">=</span><span class="mi">9055</span><span class="p">,</span>
                <span class="n">norm_by_times</span><span class="o">=</span><span class="bp">True</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
4119
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
4120 4121 4122 4123 4124 4125
<li><strong>label</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input label.</li>
<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of this layer, which must be equal to (category number + 1).</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>norm_by_times</strong> (<em>bool</em>) &#8211; Whether to do normalization by times. False is the default.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
4126 4127 4128 4129 4130 4131 4132 4133 4134 4135 4136 4137 4138 4139 4140 4141 4142 4143
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="warp-ctc">
<h3>warp_ctc<a class="headerlink" href="#warp-ctc" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
4144
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">warp_ctc</code></dt>
4145 4146 4147 4148 4149 4150
<dd><p>A layer intergrating the open-source <a class="reference external" href="https://github.com/baidu-research/warp-ctc">warp-ctc</a> library, which is used in
<a class="reference external" href="https://arxiv.org/pdf/1512.02595v1.pdf">Deep Speech 2: End-toEnd Speech Recognition in English and Mandarin</a>, to compute Connectionist Temporal
Classification (CTC) loss. Besides, another <a class="reference external" href="https://github.com/gangliao/warp-ctc">warp-ctc</a> repository, which is forked from
the official one, is maintained to enable more compiling options. During the
building process, PaddlePaddle will clone the source codes, build and
install it to <code class="code docutils literal"><span class="pre">third_party/install/warpctc</span></code> directory.</p>
4151 4152
<dl class="docutils">
<dt>Reference:</dt>
4153 4154
<dd><a class="reference external" href="http://machinelearning.wustl.edu/mlpapers/paper_files/icml2006_GravesFGS06.pdf">Connectionist Temporal Classification: Labelling Unsegmented Sequence Data
with Recurrent Neural Networks</a></dd>
4155
</dl>
4156 4157 4158
<div class="admonition note">
<p class="first admonition-title">Note</p>
<ul class="last simple">
4159 4160 4161
<li>Let num_classes represents the category number. Considering the &#8216;blank&#8217;
label needed by CTC, you need to use (num_classes + 1) as the size of
warp_ctc layer.</li>
4162
<li>You can set &#8216;blank&#8217; to any value ranged in [0, num_classes], which
4163
should be consistent with those used in your labels.</li>
4164
<li>As a native &#8216;softmax&#8217; activation is interated to the warp-ctc library,
4165
&#8216;linear&#8217; activation is expected to be used instead in the &#8216;input&#8217; layer.</li>
4166 4167
</ul>
</div>
4168
<p>The example usage is:</p>
4169 4170 4171 4172 4173 4174 4175 4176 4177 4178 4179 4180
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">ctc</span> <span class="o">=</span> <span class="n">warp_ctc</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span>
                     <span class="n">label</span><span class="o">=</span><span class="n">label</span><span class="p">,</span>
                     <span class="n">size</span><span class="o">=</span><span class="mi">1001</span><span class="p">,</span>
                     <span class="n">blank</span><span class="o">=</span><span class="mi">1000</span><span class="p">,</span>
                     <span class="n">norm_by_times</span><span class="o">=</span><span class="bp">False</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
4181
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
4182 4183 4184 4185 4186 4187 4188
<li><strong>label</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input label.</li>
<li><strong>size</strong> (<em>int</em>) &#8211; The dimension of this layer, which must be equal to (category number + 1).</li>
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>blank</strong> (<em>int</em>) &#8211; The &#8216;blank&#8217; label used in ctc.</li>
<li><strong>norm_by_times</strong> (<em>bool</em>) &#8211; Whether to do normalization by times. False is the default.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
4189 4190 4191 4192 4193 4194 4195 4196 4197 4198 4199 4200 4201 4202 4203 4204 4205 4206
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="nce">
<h3>nce<a class="headerlink" href="#nce" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
4207
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">nce</code></dt>
4208
<dd><p>Noise-contrastive estimation.</p>
4209 4210
<dl class="docutils">
<dt>Reference:</dt>
4211 4212
<dd><a class="reference external" href="https://www.cs.toronto.edu/~amnih/papers/ncelm.pdf">A fast and simple algorithm for training neural probabilistic language
models.</a></dd>
4213
</dl>
4214
<p>The example usage is:</p>
4215 4216
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">cost</span> <span class="o">=</span> <span class="n">nce</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="p">[</span><span class="n">layer1</span><span class="p">,</span> <span class="n">layer2</span><span class="p">],</span> <span class="n">label</span><span class="o">=</span><span class="n">layer2</span><span class="p">,</span>
                 <span class="n">param_attr</span><span class="o">=</span><span class="p">[</span><span class="n">attr1</span><span class="p">,</span> <span class="n">attr2</span><span class="p">],</span> <span class="n">weight</span><span class="o">=</span><span class="n">layer3</span><span class="p">,</span>
4217 4218 4219 4220 4221 4222 4223 4224
                 <span class="n">num_classes</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">neg_distribution</span><span class="o">=</span><span class="p">[</span><span class="mf">0.1</span><span class="p">,</span><span class="mf">0.3</span><span class="p">,</span><span class="mf">0.6</span><span class="p">])</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
4225
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
4226 4227
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer | list | tuple | collections.Sequence</em>) &#8211; The first input of this layer.</li>
<li><strong>label</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input label.</li>
4228
<li><strong>weight</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The weight layer defines a weight for each sample in the
4229 4230 4231 4232 4233 4234 4235
mini-batch. It is optional.</li>
<li><strong>num_classes</strong> (<em>int</em>) &#8211; The number of classes.</li>
<li><strong>act</strong> (<em>paddle.v2.activation.Base</em>) &#8211; Activation type. paddle.v2.activation.Sigmoid is the default activation.</li>
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for
details.</li>
<li><strong>num_neg_samples</strong> (<em>int</em>) &#8211; The number of sampled negative labels. 10 is the
default value.</li>
4236 4237 4238
<li><strong>neg_distribution</strong> (<em>list | tuple | collections.Sequence | None</em>) &#8211; The discrete noisy distribution over the output
space from which num_neg_samples negative labels
are sampled. If this parameter is not set, a
4239
uniform distribution will be used. A user-defined
4240 4241 4242
distribution is a list whose length must be equal
to the num_classes. Each member of the list defines
the probability of a class given input x.</li>
4243 4244 4245 4246
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The parameter attribute for bias. If this parameter is set to
False or an object whose type is not paddle.v2.attr.ParameterAttribute,
no bias is defined. If this parameter is set to True,
the bias is initialized to zero.</li>
4247 4248
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
4249 4250 4251
</ul>
</td>
</tr>
4252
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
4253 4254 4255 4256 4257 4258 4259 4260 4261 4262 4263 4264 4265 4266
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
<div class="section" id="hsigmoid">
<h3>hsigmoid<a class="headerlink" href="#hsigmoid" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
4267
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">hsigmoid</code></dt>
4268
<dd><p>Organize the classes into a binary tree. At each node, a sigmoid function
4269 4270 4271 4272 4273
is used to calculate the probability of belonging to the right branch.</p>
<dl class="docutils">
<dt>Reference:</dt>
<dd><a class="reference external" href="http://www.gatsby.ucl.ac.uk/aistats/fullpapers/208.pdf">Hierarchical Probabilistic Neural Network Language Model</a></dd>
</dl>
4274 4275
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">cost</span> <span class="o">=</span> <span class="n">hsigmoid</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="p">[</span><span class="n">layer1</span><span class="p">,</span> <span class="n">layer2</span><span class="p">],</span>
4276
                <span class="n">label</span><span class="o">=</span><span class="n">data</span><span class="p">)</span>
4277 4278 4279 4280 4281 4282 4283
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
4284
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer | list | tuple</em>) &#8211; The input of this layer.</li>
4285 4286 4287 4288
<li><strong>label</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input label.</li>
<li><strong>num_classes</strong> (<em>int</em>) &#8211; The number of classes. And it should be larger than 2. If the parameter
is not set or set to None, its actual value will be automatically set to
the number of labels.</li>
4289
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
4290 4291 4292
<li><strong>bias_attr</strong> (<em>paddle.v2.attr.ParameterAttribute | None | bool | Any</em>) &#8211; The bias attribute. If the parameter is set to False or an object
whose type is not paddle.v2.attr.ParameterAttribute, no bias is defined. If the
parameter is set to True, the bias is initialized to zero.</li>
4293 4294
<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for details.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for details.</li>
4295 4296 4297 4298 4299 4300 4301 4302 4303 4304 4305 4306 4307
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

4308 4309 4310 4311 4312
</div>
<div class="section" id="smooth-l1-cost">
<h3>smooth_l1_cost<a class="headerlink" href="#smooth-l1-cost" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
4313
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">smooth_l1_cost</code></dt>
4314
<dd><p>This is a L1 loss but more smooth. It requires that the
4315
sizes of input and label are equal. The formula is as follows,</p>
4316 4317 4318 4319 4320
<div class="math">
\[L = \sum_{i} smooth_{L1}(input_i - label_i)\]</div>
<p>in which</p>
<div class="math">
\[\begin{split}smooth_{L1}(x) = \begin{cases} 0.5x^2&amp; \text{if}  \ |x| &lt; 1 \\ |x|-0.5&amp; \text{otherwise} \end{cases}\end{split}\]</div>
4321 4322
<dl class="docutils">
<dt>Reference:</dt>
4323
<dd><a class="reference external" href="https://arxiv.org/pdf/1504.08083v2.pdf">Fast R-CNN</a></dd>
4324
</dl>
4325
<p>The example usage is:</p>
4326 4327 4328 4329 4330 4331 4332 4333 4334 4335 4336
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">cost</span> <span class="o">=</span> <span class="n">smooth_l1_cost</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="nb">input</span><span class="p">,</span>
                      <span class="n">label</span><span class="o">=</span><span class="n">label</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input layer.</li>
<li><strong>label</strong> &#8211; The input label.</li>
4337 4338
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
<li><strong>coeff</strong> (<em>float</em>) &#8211; The weight of the gradient in the back propagation.
4339
1.0 is the default value.</li>
4340 4341
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
4342 4343 4344 4345 4346 4347 4348 4349 4350 4351 4352 4353 4354
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

4355 4356 4357 4358 4359 4360 4361 4362 4363 4364 4365 4366
</div>
<div class="section" id="multibox-loss">
<h3>multibox_loss<a class="headerlink" href="#multibox-loss" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">multibox_loss</code></dt>
<dd><p>Compute the location loss and the confidence loss for ssd.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
4367
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
4368
<li><strong>input_loc</strong> (<em>paddle.v2.config_base.Layer | List of paddle.v2.config_base.Layer</em>) &#8211; The input predicted locations.</li>
4369 4370 4371 4372 4373
<li><strong>input_conf</strong> (<em>paddle.v2.config_base.Layer | List of paddle.v2.config_base.Layer</em>) &#8211; The input priorbox confidence.</li>
<li><strong>priorbox</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input priorbox location and the variance.</li>
<li><strong>label</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input label.</li>
<li><strong>num_classes</strong> (<em>int</em>) &#8211; The number of the classification.</li>
<li><strong>overlap_threshold</strong> (<em>float</em>) &#8211; The threshold of the overlap.</li>
4374 4375 4376
<li><strong>neg_pos_ratio</strong> (<em>float</em>) &#8211; The ratio of the negative bounding box to
the positive bounding box.</li>
<li><strong>neg_overlap</strong> (<em>float</em>) &#8211; The negative bounding box overlap threshold.</li>
4377 4378 4379 4380
<li><strong>background_id</strong> (<em>int</em>) &#8211; The background class index.</li>
</ul>
</td>
</tr>
4381 4382 4383 4384
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
4385 4386 4387 4388 4389 4390
</td>
</tr>
</tbody>
</table>
</dd></dl>

4391
</div>
4392 4393
<div class="section" id="detection-output">
<h3>detection_output<a class="headerlink" href="#detection-output" title="Permalink to this headline"></a></h3>
4394 4395
<dl class="class">
<dt>
4396 4397 4398 4399
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">detection_output</code></dt>
<dd><p>Apply the NMS to the output of network and compute the predict bounding
box location. The output&#8217;s shape of this layer could be zero if there is
no valid bounding box.</p>
4400 4401 4402 4403 4404
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
4405
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
4406 4407 4408 4409 4410 4411 4412 4413 4414
<li><strong>input_loc</strong> (<em>paddle.v2.config_base.Layer | List of paddle.v2.config_base.Layer.</em>) &#8211; The input predict locations.</li>
<li><strong>input_conf</strong> (<em>paddle.v2.config_base.Layer | List of paddle.v2.config_base.Layer.</em>) &#8211; The input priorbox confidence.</li>
<li><strong>priorbox</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input priorbox location and the variance.</li>
<li><strong>num_classes</strong> (<em>int</em>) &#8211; The number of the classes.</li>
<li><strong>nms_threshold</strong> (<em>float</em>) &#8211; The Non-maximum suppression threshold.</li>
<li><strong>nms_top_k</strong> (<em>int</em>) &#8211; The bounding boxes number kept of the NMS&#8217;s output.</li>
<li><strong>keep_top_k</strong> (<em>int</em>) &#8211; The bounding boxes number kept of the layer&#8217;s output.</li>
<li><strong>confidence_threshold</strong> (<em>float</em>) &#8211; The classification confidence threshold.</li>
<li><strong>background_id</strong> (<em>int</em>) &#8211; The background class index.</li>
4415 4416 4417 4418 4419 4420 4421
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
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</td>
</tr>
</tbody>
</table>
</dd></dl>

</div>
</div>
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<div class="section" id="check-layer">
<h2>Check Layer<a class="headerlink" href="#check-layer" title="Permalink to this headline"></a></h2>
<div class="section" id="eos">
<h3>eos<a class="headerlink" href="#eos" title="Permalink to this headline"></a></h3>
4434 4435
<dl class="class">
<dt>
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<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">eos</code></dt>
<dd><p>A layer for checking EOS for each sample:
- output_id = (input_id == conf.eos_id)</p>
<p>The result is stored in output_.ids.
It is used by recurrent layer group.</p>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">eos</span> <span class="o">=</span> <span class="n">eos</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layer</span><span class="p">,</span> <span class="n">eos_id</span><span class="o">=</span><span class="nb">id</span><span class="p">)</span>
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</pre></div>
</div>
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<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
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<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
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<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
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<li><strong>eos_id</strong> (<em>int</em>) &#8211; End id of sequence</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
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<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
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</td>
</tr>
</tbody>
</table>
</dd></dl>

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</div>
</div>
4470 4471
<div class="section" id="activation">
<h2>Activation<a class="headerlink" href="#activation" title="Permalink to this headline"></a></h2>
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<div class="section" id="prelu">
<h3>prelu<a class="headerlink" href="#prelu" title="Permalink to this headline"></a></h3>
<dl class="class">
<dt>
<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">prelu</code></dt>
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<dd><p>The Parametric Relu activation that actives outputs with a learnable weight.</p>
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<dl class="docutils">
<dt>Reference:</dt>
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<dd><a class="reference external" href="http://arxiv.org/pdf/1502.01852v1.pdf">Delving Deep into Rectifiers: Surpassing Human-Level Performance on
ImageNet Classification</a></dd>
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</dl>
<div class="math">
\[\begin{split}z_i &amp;\quad if \quad z_i &gt; 0 \\
a_i * z_i  &amp;\quad \mathrm{otherwise}\end{split}\]</div>
<p>The example usage is:</p>
<div class="highlight-python"><div class="highlight"><pre><span></span><span class="n">prelu</span> <span class="o">=</span> <span class="n">prelu</span><span class="p">(</span><span class="nb">input</span><span class="o">=</span><span class="n">layers</span><span class="p">,</span> <span class="n">partial_sum</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
</pre></div>
</div>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
4495
<li><strong>name</strong> (<em>basestring</em>) &#8211; The name of this layer. It is optional.</li>
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<li><strong>input</strong> (<em>paddle.v2.config_base.Layer</em>) &#8211; The input of this layer.</li>
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<li><strong>partial_sum</strong> (<em>int</em>) &#8211; <p>this parameter makes a group of inputs share the same weight.</p>
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<ul>
<li>partial_sum = 1, indicates the element-wise activation: each element has a weight.</li>
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<li>partial_sum = number of elements in one channel, indicates the channel-wise activation, elements in a channel share the same weight.</li>
<li>partial_sum = number of outputs, indicates all elements share the same weight.</li>
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</ul>
</li>
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<li><strong>channel_shared</strong> (<em>bool</em>) &#8211; <p>whether or not the parameter are shared across channels.</p>
<ul>
<li>channel_shared = True, we set the partial_sum to the number of outputs.</li>
<li>channel_shared = False, we set the partial_sum to the number of elements in one channel.</li>
</ul>
</li>
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<li><strong>num_channels</strong> (<em>int</em>) &#8211; number of input channel.</li>
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<li><strong>param_attr</strong> (<em>paddle.v2.attr.ParameterAttribute</em>) &#8211; The parameter attribute. See paddle.v2.attr.ParameterAttribute for details.</li>
<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute | None</em>) &#8211; The extra layer attribute. See paddle.v2.attr.ExtraAttribute for
details.</li>
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</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">paddle.v2.config_base.Layer object.</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">paddle.v2.config_base.Layer</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>

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</div>
</div>
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