diff --git a/develop/doc/_sources/api/v1/trainer_config_helpers/layers.rst.txt b/develop/doc/_sources/api/v1/trainer_config_helpers/layers.rst.txt
index 24389c2d8574dfda4bec9298776aa6b1aee51535..75c1b35246486528524fd5baa04704249d5a9275 100644
--- a/develop/doc/_sources/api/v1/trainer_config_helpers/layers.rst.txt
+++ b/develop/doc/_sources/api/v1/trainer_config_helpers/layers.rst.txt
@@ -498,6 +498,12 @@ hsigmoid
     :members: hsigmoid
     :noindex:
 
+smooth_l1_cost
+--------------
+..  automodule:: paddle.trainer_config_helpers.layers
+    :members: smooth_l1_cost
+    :noindex:
+
 Check Layer 
 ============
 
diff --git a/develop/doc/_sources/api/v2/config/layer.rst.txt b/develop/doc/_sources/api/v2/config/layer.rst.txt
index 2a02baf17ba0d1119a8d222024616ef8ae33f8d5..154cfe24432f3e43ed724a45273b4a582b45f73d 100644
--- a/develop/doc/_sources/api/v2/config/layer.rst.txt
+++ b/develop/doc/_sources/api/v2/config/layer.rst.txt
@@ -419,6 +419,11 @@ hsigmoid
 ..  autoclass:: paddle.v2.layer.hsigmoid
     :noindex:
 
+smooth_l1_cost
+--------------
+..  autoclass:: paddle.v2.layer.smooth_l1_cost
+    :noindex:
+
 Check Layer 
 ============
 
diff --git a/develop/doc/api/v1/trainer_config_helpers/layers.html b/develop/doc/api/v1/trainer_config_helpers/layers.html
index cf1439da2a5e93645206c4ebfc14f86281a85404..d7344b1368ab5775e094b4005871d48794deb501 100644
--- a/develop/doc/api/v1/trainer_config_helpers/layers.html
+++ b/develop/doc/api/v1/trainer_config_helpers/layers.html
@@ -287,6 +287,7 @@
 <li><a class="reference internal" href="#warp-ctc-layer">warp_ctc_layer</a></li>
 <li><a class="reference internal" href="#nce-layer">nce_layer</a></li>
 <li><a class="reference internal" href="#hsigmoid">hsigmoid</a></li>
+<li><a class="reference internal" href="#smooth-l1-cost">smooth_l1_cost</a></li>
 </ul>
 </li>
 <li><a class="reference internal" href="#check-layer">Check Layer</a><ul>
@@ -3051,7 +3052,6 @@ Input should be a vector of positive numbers, without normalization.</p>
 <tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
 <li><strong>input</strong> (<em>LayerOutput</em>) &#8211; The first input layer.</li>
 <li><strong>label</strong> &#8211; The input label.</li>
-<li><strong>type</strong> (<em>basestring</em>) &#8211; The type of cost.</li>
 <li><strong>name</strong> (<em>None|basestring</em>) &#8211; The name of this layers. It is not necessary.</li>
 <li><strong>coeff</strong> (<em>float</em>) &#8211; The coefficient affects the gradient in the backward.</li>
 <li><strong>layer_attr</strong> (<a class="reference internal" href="attrs.html#paddle.trainer_config_helpers.attrs.ExtraLayerAttribute" title="paddle.trainer_config_helpers.attrs.ExtraLayerAttribute"><em>ExtraLayerAttribute</em></a>) &#8211; Extra Layer Attribute.</li>
@@ -3560,6 +3560,46 @@ False means no bias.</li>
 </table>
 </dd></dl>
 
+</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="function">
+<dt>
+<code class="descclassname">paddle.trainer_config_helpers.layers.</code><code class="descname">smooth_l1_cost</code><span class="sig-paren">(</span><em>*args</em>, <em>**kwargs</em><span class="sig-paren">)</span></dt>
+<dd><p>This is a L1 loss but more smooth. It requires that the
+size of input and label are equal. The formula is as follows,</p>
+<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>
+<p>More details can be found by referring to <a class="reference external" href="https://arxiv.org/pdf/1504.08083v2.pdf">Fast R-CNN</a></p>
+<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="n">input_layer</span><span class="p">,</span>
+                      <span class="n">label</span><span class="o">=</span><span class="n">label_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">
+<li><strong>input</strong> (<em>LayerOutput</em>) &#8211; The input layer.</li>
+<li><strong>label</strong> &#8211; The input label.</li>
+<li><strong>name</strong> (<em>None|basestring</em>) &#8211; The name of this layers. It is not necessary.</li>
+<li><strong>layer_attr</strong> (<a class="reference internal" href="attrs.html#paddle.trainer_config_helpers.attrs.ExtraLayerAttribute" title="paddle.trainer_config_helpers.attrs.ExtraLayerAttribute"><em>ExtraLayerAttribute</em></a>) &#8211; Extra Layer Attribute.</li>
+</ul>
+</td>
+</tr>
+<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">LayerOutput object.</p>
+</td>
+</tr>
+<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">LayerOutput</p>
+</td>
+</tr>
+</tbody>
+</table>
+</dd></dl>
+
 </div>
 </div>
 <div class="section" id="check-layer">
diff --git a/develop/doc/api/v2/config/layer.html b/develop/doc/api/v2/config/layer.html
index 8350048eece2bb672e1bf116104924eb276eb086..2286b7ef86b5a7a1e96e9cf56a340fc93dacc527 100644
--- a/develop/doc/api/v2/config/layer.html
+++ b/develop/doc/api/v2/config/layer.html
@@ -286,6 +286,7 @@
 <li><a class="reference internal" href="#warp-ctc">warp_ctc</a></li>
 <li><a class="reference internal" href="#nce">nce</a></li>
 <li><a class="reference internal" href="#hsigmoid">hsigmoid</a></li>
+<li><a class="reference internal" href="#smooth-l1-cost">smooth_l1_cost</a></li>
 </ul>
 </li>
 <li><a class="reference internal" href="#check-layer">Check Layer</a><ul>
@@ -2784,7 +2785,6 @@ Input should be a vector of positive numbers, without normalization.</p>
 <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>type</strong> (<em>basestring</em>) &#8211; The type of cost.</li>
 <li><strong>name</strong> (<em>None|basestring</em>) &#8211; The name of this layers. It is not necessary.</li>
 <li><strong>coeff</strong> (<em>float</em>) &#8211; The coefficient affects the gradient in the backward.</li>
 <li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; Extra Layer Attribute.</li>
@@ -3293,6 +3293,46 @@ False means no bias.</li>
 </table>
 </dd></dl>
 
+</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>
+<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">smooth_l1_cost</code><span class="sig-paren">(</span><em>*args</em>, <em>**kwargs</em><span class="sig-paren">)</span></dt>
+<dd><p>This is a L1 loss but more smooth. It requires that the
+size of input and label are equal. The formula is as follows,</p>
+<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>
+<p>More details can be found by referring to <a class="reference external" href="https://arxiv.org/pdf/1504.08083v2.pdf">Fast R-CNN</a></p>
+<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>
+<li><strong>name</strong> (<em>None|basestring</em>) &#8211; The name of this layers. It is not necessary.</li>
+<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; Extra Layer Attribute.</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>
 <div class="section" id="check-layer">
diff --git a/develop/doc/searchindex.js b/develop/doc/searchindex.js
index 9a0696ce77e5ced7f2977da4013677b4a8f32f56..e72bafcd2ecc08bad84424d9e8105309f6e48529 100644
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+++ b/develop/doc/searchindex.js
@@ -1 +1 @@
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\ No newline at end of file
diff --git a/develop/doc_cn/_sources/api/v1/trainer_config_helpers/layers.rst.txt b/develop/doc_cn/_sources/api/v1/trainer_config_helpers/layers.rst.txt
index 24389c2d8574dfda4bec9298776aa6b1aee51535..75c1b35246486528524fd5baa04704249d5a9275 100644
--- a/develop/doc_cn/_sources/api/v1/trainer_config_helpers/layers.rst.txt
+++ b/develop/doc_cn/_sources/api/v1/trainer_config_helpers/layers.rst.txt
@@ -498,6 +498,12 @@ hsigmoid
     :members: hsigmoid
     :noindex:
 
+smooth_l1_cost
+--------------
+..  automodule:: paddle.trainer_config_helpers.layers
+    :members: smooth_l1_cost
+    :noindex:
+
 Check Layer 
 ============
 
diff --git a/develop/doc_cn/_sources/api/v2/config/layer.rst.txt b/develop/doc_cn/_sources/api/v2/config/layer.rst.txt
index 2a02baf17ba0d1119a8d222024616ef8ae33f8d5..154cfe24432f3e43ed724a45273b4a582b45f73d 100644
--- a/develop/doc_cn/_sources/api/v2/config/layer.rst.txt
+++ b/develop/doc_cn/_sources/api/v2/config/layer.rst.txt
@@ -419,6 +419,11 @@ hsigmoid
 ..  autoclass:: paddle.v2.layer.hsigmoid
     :noindex:
 
+smooth_l1_cost
+--------------
+..  autoclass:: paddle.v2.layer.smooth_l1_cost
+    :noindex:
+
 Check Layer 
 ============
 
diff --git a/develop/doc_cn/api/v1/trainer_config_helpers/layers.html b/develop/doc_cn/api/v1/trainer_config_helpers/layers.html
index c79d9fbda79cbb99b249d0751f9389430e05a05c..1afb625e48dc361df2ebfb5f4dd2dae316aeda02 100644
--- a/develop/doc_cn/api/v1/trainer_config_helpers/layers.html
+++ b/develop/doc_cn/api/v1/trainer_config_helpers/layers.html
@@ -294,6 +294,7 @@
 <li><a class="reference internal" href="#warp-ctc-layer">warp_ctc_layer</a></li>
 <li><a class="reference internal" href="#nce-layer">nce_layer</a></li>
 <li><a class="reference internal" href="#hsigmoid">hsigmoid</a></li>
+<li><a class="reference internal" href="#smooth-l1-cost">smooth_l1_cost</a></li>
 </ul>
 </li>
 <li><a class="reference internal" href="#check-layer">Check Layer</a><ul>
@@ -3058,7 +3059,6 @@ Input should be a vector of positive numbers, without normalization.</p>
 <tr class="field-odd field"><th class="field-name">参数:</th><td class="field-body"><ul class="first simple">
 <li><strong>input</strong> (<em>LayerOutput</em>) &#8211; The first input layer.</li>
 <li><strong>label</strong> &#8211; The input label.</li>
-<li><strong>type</strong> (<em>basestring</em>) &#8211; The type of cost.</li>
 <li><strong>name</strong> (<em>None|basestring</em>) &#8211; The name of this layers. It is not necessary.</li>
 <li><strong>coeff</strong> (<em>float</em>) &#8211; The coefficient affects the gradient in the backward.</li>
 <li><strong>layer_attr</strong> (<a class="reference internal" href="attrs.html#paddle.trainer_config_helpers.attrs.ExtraLayerAttribute" title="paddle.trainer_config_helpers.attrs.ExtraLayerAttribute"><em>ExtraLayerAttribute</em></a>) &#8211; Extra Layer Attribute.</li>
@@ -3567,6 +3567,46 @@ False means no bias.</li>
 </table>
 </dd></dl>
 
+</div>
+<div class="section" id="smooth-l1-cost">
+<h3>smooth_l1_cost<a class="headerlink" href="#smooth-l1-cost" title="永久链接至标题">¶</a></h3>
+<dl class="function">
+<dt>
+<code class="descclassname">paddle.trainer_config_helpers.layers.</code><code class="descname">smooth_l1_cost</code><span class="sig-paren">(</span><em>*args</em>, <em>**kwargs</em><span class="sig-paren">)</span></dt>
+<dd><p>This is a L1 loss but more smooth. It requires that the
+size of input and label are equal. The formula is as follows,</p>
+<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>
+<p>More details can be found by referring to <a class="reference external" href="https://arxiv.org/pdf/1504.08083v2.pdf">Fast R-CNN</a></p>
+<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="n">input_layer</span><span class="p">,</span>
+                      <span class="n">label</span><span class="o">=</span><span class="n">label_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">参数:</th><td class="field-body"><ul class="first simple">
+<li><strong>input</strong> (<em>LayerOutput</em>) &#8211; The input layer.</li>
+<li><strong>label</strong> &#8211; The input label.</li>
+<li><strong>name</strong> (<em>None|basestring</em>) &#8211; The name of this layers. It is not necessary.</li>
+<li><strong>layer_attr</strong> (<a class="reference internal" href="attrs.html#paddle.trainer_config_helpers.attrs.ExtraLayerAttribute" title="paddle.trainer_config_helpers.attrs.ExtraLayerAttribute"><em>ExtraLayerAttribute</em></a>) &#8211; Extra Layer Attribute.</li>
+</ul>
+</td>
+</tr>
+<tr class="field-even field"><th class="field-name">返回:</th><td class="field-body"><p class="first">LayerOutput object.</p>
+</td>
+</tr>
+<tr class="field-odd field"><th class="field-name">返回类型:</th><td class="field-body"><p class="first last">LayerOutput</p>
+</td>
+</tr>
+</tbody>
+</table>
+</dd></dl>
+
 </div>
 </div>
 <div class="section" id="check-layer">
diff --git a/develop/doc_cn/api/v2/config/layer.html b/develop/doc_cn/api/v2/config/layer.html
index e78a198b88aae4707670293c2bdde000db80af6d..0a51e2af837511f00024f1fd0109a9c12cca4d27 100644
--- a/develop/doc_cn/api/v2/config/layer.html
+++ b/develop/doc_cn/api/v2/config/layer.html
@@ -293,6 +293,7 @@
 <li><a class="reference internal" href="#warp-ctc">warp_ctc</a></li>
 <li><a class="reference internal" href="#nce">nce</a></li>
 <li><a class="reference internal" href="#hsigmoid">hsigmoid</a></li>
+<li><a class="reference internal" href="#smooth-l1-cost">smooth_l1_cost</a></li>
 </ul>
 </li>
 <li><a class="reference internal" href="#check-layer">Check Layer</a><ul>
@@ -2791,7 +2792,6 @@ Input should be a vector of positive numbers, without normalization.</p>
 <tr class="field-odd field"><th class="field-name">参数:</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>type</strong> (<em>basestring</em>) &#8211; The type of cost.</li>
 <li><strong>name</strong> (<em>None|basestring</em>) &#8211; The name of this layers. It is not necessary.</li>
 <li><strong>coeff</strong> (<em>float</em>) &#8211; The coefficient affects the gradient in the backward.</li>
 <li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; Extra Layer Attribute.</li>
@@ -3300,6 +3300,46 @@ False means no bias.</li>
 </table>
 </dd></dl>
 
+</div>
+<div class="section" id="smooth-l1-cost">
+<h3>smooth_l1_cost<a class="headerlink" href="#smooth-l1-cost" title="永久链接至标题">¶</a></h3>
+<dl class="class">
+<dt>
+<em class="property">class </em><code class="descclassname">paddle.v2.layer.</code><code class="descname">smooth_l1_cost</code><span class="sig-paren">(</span><em>*args</em>, <em>**kwargs</em><span class="sig-paren">)</span></dt>
+<dd><p>This is a L1 loss but more smooth. It requires that the
+size of input and label are equal. The formula is as follows,</p>
+<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>
+<p>More details can be found by referring to <a class="reference external" href="https://arxiv.org/pdf/1504.08083v2.pdf">Fast R-CNN</a></p>
+<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">参数:</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>
+<li><strong>name</strong> (<em>None|basestring</em>) &#8211; The name of this layers. It is not necessary.</li>
+<li><strong>layer_attr</strong> (<em>paddle.v2.attr.ExtraAttribute</em>) &#8211; Extra Layer Attribute.</li>
+</ul>
+</td>
+</tr>
+<tr class="field-even field"><th class="field-name">返回:</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">返回类型:</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="check-layer">
diff --git a/develop/doc_cn/searchindex.js b/develop/doc_cn/searchindex.js
index 45000c7df5069617de65215db51a748aed28c35d..fe86cbcb9baf5d485ca272897db01e85e95c6a7b 100644
--- a/develop/doc_cn/searchindex.js
+++ b/develop/doc_cn/searchindex.js
@@ -1 +1 @@
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