# Copyright (c) 2020 PaddlePaddle Authors. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from __future__ import print_function
__all__ = [
'conv1d',
'conv1d_transpose',
'conv2d',
'conv2d_transpose',
'conv3d',
'conv3d_transpose',
]
import numpy as np
from ...device import get_cudnn_version
from ...fluid.framework import Variable, in_dygraph_mode
from ...fluid import core, dygraph_utils
from ...fluid.layers import nn, utils
from ...fluid.data_feeder import check_variable_and_dtype
from ...fluid.param_attr import ParamAttr
from ...fluid.layer_helper import LayerHelper
def _is_list_or_tuple(input):
return isinstance(input, (list, tuple))
def _zero_padding_in_batch_and_channel(padding, channel_last):
if channel_last:
return list(padding[0]) == [0, 0] and list(padding[-1]) == [0, 0]
else:
return list(padding[0]) == [0, 0] and list(padding[1]) == [0, 0]
def _exclude_padding_in_batch_and_channel(padding, channel_last):
padding_ = padding[1:-1] if channel_last else padding[2:]
padding_ = [elem for pad_a_dim in padding_ for elem in pad_a_dim]
return padding_
def _update_padding_nd(padding, channel_last, num_dims):
if isinstance(padding, str):
padding = padding.upper()
if padding not in ["SAME", "VALID"]:
raise ValueError(
"Unknown padding: '{}'. It can only be 'SAME' or 'VALID'.".
format(padding))
if padding == "VALID":
padding_algorithm = "VALID"
padding = [0] * num_dims
else:
padding_algorithm = "SAME"
padding = [0] * num_dims
elif _is_list_or_tuple(padding):
# for padding like
# [(pad_before, pad_after), (pad_before, pad_after), ...]
# padding for batch_dim and channel_dim included
if len(padding) == 2 + num_dims and _is_list_or_tuple(padding[0]):
if not _zero_padding_in_batch_and_channel(padding, channel_last):
raise ValueError(
"Non-zero padding({}) in the batch or channel dimensions "
"is not supported.".format(padding))
padding_algorithm = "EXPLICIT"
padding = _exclude_padding_in_batch_and_channel(padding,
channel_last)
if utils._is_symmetric_padding(padding, num_dims):
padding = padding[0::2]
# for padding like [pad_before, pad_after, pad_before, pad_after, ...]
elif len(padding) == 2 * num_dims and isinstance(padding[0], int):
padding_algorithm = "EXPLICIT"
padding = utils.convert_to_list(padding, 2 * num_dims, 'padding')
if utils._is_symmetric_padding(padding, num_dims):
padding = padding[0::2]
# for padding like [pad_d1, pad_d2, ...]
elif len(padding) == num_dims and isinstance(padding[0], int):
padding_algorithm = "EXPLICIT"
padding = utils.convert_to_list(padding, num_dims, 'padding')
else:
raise ValueError("In valid padding: {}".format(padding))
# for integer padding
else:
padding_algorithm = "EXPLICIT"
padding = utils.convert_to_list(padding, num_dims, 'padding')
return padding, padding_algorithm
def conv1d(x,
weight,
bias=None,
stride=1,
padding=0,
dilation=1,
groups=1,
data_format='NCL',
name=None):
"""
The convolution1D layer calculates the output based on the input, filter
and strides, paddings, dilations, groups parameters. Input and
Output are in NCL format, where N is batch size, C is the number of
channels, L is the length of the feature.
Filter is in MCK format, where M is the number of output image channels,
C is the number of input image channels, K is the size of the kernel.
If the groups is greater than 1, C will equal the number of input image
channels divided by the groups. If bias attribution and activation type
are provided, bias is added to the output of the convolution, and the
corresponding activation function is applied to the final result.
For each input :math:`X`, the equation is:
.. math::
Out = \sigma (W \\ast X + b)
Where:
* :math:`X`: Input value, a tensor with NCL format.
* :math:`W`: Kernel value, a tensor with MCK format.
* :math:`\\ast`: Convolution operation.
* :math:`b`: Bias value, a 2-D tensor with shape [M, 1].
* :math:`\\sigma`: Activation function.
* :math:`Out`: Output value, the shape of :math:`Out` and :math:`X` may be different.
Example:
- Input:
Input shape: :math:`(N, C_{in}, L_{in})`
Filter shape: :math:`(C_{out}, C_{in}, L_f)`
- Output:
Output shape: :math:`(N, C_{out}, L_{out})`
Where
.. math::
L_{out}&= \\frac{(L_{in} + 2 * padding - (dilation * (L_f - 1) + 1))}{stride} + 1
Args:
x (Tensor): The input is 3-D Tensor with shape [N, C, L], the data type
of input is float16 or float32 or float64.
weight (Tensor): The convolution kernel with shape [M, C/g, K], where M is
the number of output channels, g is the number of groups, K is the kernel's size.
bias (Tensor, optional): The bias with shape [M,]. Default: None.
stride (int or tuple, optional): The stride size. If stride is a tuple, it must
contain one integers, (stride_size). Default: 1.
padding(int|str|tuple|list, optional): The padding size. Padding could be in one of the following forms.
1. a string in ['valid', 'same'].
2. an int, which means the feature map is zero paded by size of `padding` on both sides.
3. a list[int] or tuple[int] whose length is 1, which means the feature map is zero paded by size of `padding[0]` on both sides.
4. a list[int] or tuple[int] whose length is 2. It has the form [pad_before, pad_after].
5. a list or tuple of pairs of ints. It has the form [[pad_before, pad_after], [pad_before, pad_after], ...]. Note that, the batch dimension and channel dimension are also included. Each pair of integers correspond to the amount of padding for a dimension of the input. Padding in batch dimension and channel dimension should be [0, 0] or (0, 0).
The default value is 0.
dilation (int or tuple, optional): The dilation size. If dilation is a tuple, it must
contain one integer, (dilation_size). Default: 1.
groups (int, optional): The groups number of the conv1d function. According to grouped
convolution in Alex Krizhevsky's Deep CNN paper: when group=2,
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 channels. Default: 1.
data_format (str, optional): Specify the data format of the input, and the data format of the output
will be consistent with that of the input. An optional string from: `"NCL"`, `"NLC"`.
The default is `"NCL"`. When it is `"NCL"`, the data is stored in the order of:
`[batch_size, input_channels, feature_length]`.
name(str, optional): For detailed information, please refer
to :ref:`api_guide_Name`. Usually name is no need to set and
None by default.
Returns:
A tensor representing the conv1d, whose data type is the
same with input.
Raises:
ValueError: If the channel dimension of the input is less than or equal to zero.
ValueError: If `data_format` is not "NCL" or "NLC".
ValueError: If `padding` is a string, but not "SAME" or "VALID".
ValueError: If `padding` is a tuple, but the element corresponding to the input's batch size is not 0
or the element corresponding to the input's channel is not 0.
ShapeError: If the input is not 3-D Tensor.
ShapeError: If the input's dimension size and filter's dimension size not equal.
ShapeError: If the dimension size of input minus the size of `stride` is not 1.
ShapeError: If the number of input channels is not equal to filter's channels * groups.
ShapeError: If the number of output channels is not be divided by groups.
Examples:
.. code-block:: python
import paddle
import paddle.nn.functional as F
import numpy as np
x = np.array([[[4, 8, 1, 9],
[7, 2, 0, 9],
[6, 9, 2, 6]]]).astype(np.float32)
w=np.array(
[[[9, 3, 4],
[0, 0, 7],
[2, 5, 6]],
[[0, 3, 4],
[2, 9, 7],
[5, 6, 8]]]).astype(np.float32)
x_var = paddle.to_tensor(x)
w_var = paddle.to_tensor(w)
y_var = F.conv1d(x_var, w_var)
y_np = y_var.numpy()
print(y_np)
# [[[133. 238.]
# [160. 211.]]]
"""
cudnn_version = get_cudnn_version()
if cudnn_version is not None:
use_cudnn = True
else:
use_cudnn = False
if data_format not in ["NCL", "NLC"]:
raise ValueError("Attr(data_format) should be 'NCL' or 'NLC'. "
"Received Attr(data_format): {}.".format(data_format))
channel_last = (data_format == "NLC")
channel_dim = -1 if channel_last else 1
conv2d_data_format = "NHWC" if channel_last else "NCHW"
num_channels = x.shape[channel_dim]
num_filters = weight.shape[0]
if num_channels < 0:
raise ValueError("The channel dimension of the input({}) "
"should be defined. Received: {}.".format(
x.shape, num_channels))
if num_channels % groups != 0:
raise ValueError(
"the channel of input must be divisible by groups,"
"received: the channel of input is {}, the shape of input is {}"
", the groups is {}".format(num_channels, x.shape, groups))
if num_filters % groups != 0:
raise ValueError(
"the number of filters must be divisible by groups,"
"received: the number of filters is {}, the shape of weight is {}"
", the groups is {}".format(num_filters, weight.shape, groups))
# update attrs
padding, padding_algorithm = _update_padding_nd(padding, channel_last, 1)
if len(padding) == 2:
padding = padding + [0] * 2
elif len(padding) == 1:
padding = padding + [0]
else:
raise ValueError(
"The size of padding's dimension should be 1 or 2. But got padding={}".
format(padding))
stride = utils.convert_to_list(stride, 1, 'stride') + [1]
dilation = utils.convert_to_list(dilation, 1, 'dilation') + [1]
l_type = "conv2d"
if (num_channels == groups and num_channels != 1 and
num_filters % num_channels == 0 and not use_cudnn):
l_type = 'depthwise_conv2d'
use_cudnn = False
inputs = {'Input': [x], 'Filter': [weight]}
attrs = {
'strides': stride,
'paddings': padding,
'dilations': dilation,
'groups': groups,
'use_cudnn': use_cudnn,
'use_mkldnn': False,
'fuse_relu_before_depthwise_conv': False,
"padding_algorithm": padding_algorithm,
"data_format": conv2d_data_format
}
squeeze_aixs = -2 if channel_last else -1
x = nn.unsqueeze(input=x, axes=[squeeze_aixs])
weight = nn.unsqueeze(input=weight, axes=[-1])
if in_dygraph_mode():
attrs = ('strides', stride, 'paddings', padding, 'dilations', dilation,
'groups', groups, 'use_cudnn', use_cudnn, 'use_mkldnn', False,
'fuse_relu_before_depthwise_conv', False, "padding_algorithm",
padding_algorithm, "data_format", conv2d_data_format)
out = getattr(core.ops, l_type)(x, weight, *attrs)
if bias is not None:
out = nn.elementwise_add(out, bias, axis=channel_dim)
else:
inputs = {'Input': [x], 'Filter': [weight]}
attrs = {
'strides': stride,
'paddings': padding,
'dilations': dilation,
'groups': groups,
'use_cudnn': use_cudnn,
'use_mkldnn': False,
'fuse_relu_before_depthwise_conv': False,
"padding_algorithm": padding_algorithm,
"data_format": conv2d_data_format
}
check_variable_and_dtype(x, 'input', ['float16', 'float32', 'float64'],
'conv2d')
helper = LayerHelper(l_type, **locals())
dtype = helper.input_dtype()
out = helper.create_variable_for_type_inference(dtype)
outputs = {"Output": [out]}
helper.append_op(
type=l_type, inputs=inputs, outputs=outputs, attrs=attrs)
if bias is not None:
out = nn.elementwise_add(out, bias, axis=channel_dim)
out = nn.squeeze(input=out, axes=[squeeze_aixs])
return out
def conv2d(x,
weight,
bias=None,
stride=1,
padding=0,
dilation=1,
groups=1,
data_format="NCHW",
name=None):
"""
The convolution2D layer calculates the output based on the input, filter
and strides, paddings, dilations, groups parameters. Input and
Output are in NCHW or NHWC format, where N is batch size, C is the number of
channels, H is the height of the feature, and W is the width of the feature.
Filter is in MCHW format, where M is the number of output image channels,
C is the number of input image channels, H is the height of the filter,
and W is the width of the filter. If the groups is greater than 1,
C will equal the number of input image channels divided by the groups.
Please refer to UFLDL's `convolution
`_
for more details.
If bias attribution and activation type are provided, bias is added to the
output of the convolution, and the corresponding activation function is
applied to the final result.
For each input :math:`X`, the equation is:
.. math::
Out = \sigma (W \\ast X + b)
Where:
* :math:`X`: Input value, a tensor with NCHW or NHWC format.
* :math:`W`: Filter value, a tensor with MCHW format.
* :math:`\\ast`: Convolution operation.
* :math:`b`: Bias value, a 2-D tensor with shape [M, 1].
* :math:`\\sigma`: Activation function.
* :math:`Out`: Output value, the shape of :math:`Out` and :math:`X` may be different.
Example:
- Input:
Input shape: :math:`(N, C_{in}, H_{in}, W_{in})`
Filter shape: :math:`(C_{out}, C_{in}, H_f, W_f)`
- Output:
Output shape: :math:`(N, C_{out}, H_{out}, W_{out})`
Where
.. math::
H_{out}&= \\frac{(H_{in} + 2 * paddings[0] - (dilations[0] * (H_f - 1) + 1))}{strides[0]} + 1 \\\\
W_{out}&= \\frac{(W_{in} + 2 * paddings[1] - (dilations[1] * (W_f - 1) + 1))}{strides[1]} + 1
Args:
x (Tensor): The input is 4-D Tensor with shape [N, C, H, W], the data type
of input is float16 or float32 or float64.
weight (Tensor): The convolution kernel with shape [M, C/g, kH, kW], where M is
the number of output channels, g is the number of groups, kH is the filter's
height, kW is the filter's width.
bias (Tensor, optional): The bias with shape [M,].
stride (int|tuple): The stride size. It means the stride in convolution.
If stride is a tuple, it must contain two integers, (stride_height, stride_width).
Otherwise, stride_height = stride_width = stride. Default: stride = 1.
padding (string|int|list|tuple): The padding size. It means the number of zero-paddings
on both sides for each dimension.If `padding` is a string, either 'VALID' or
'SAME' which is the padding algorithm. If padding size is a tuple or list,
it could be in three forms: `[pad_height, pad_width]` or
`[pad_height_top, pad_height_bottom, pad_width_left, pad_width_right]`, and when
`data_format` is `"NCHW"`, `padding` can be in the form `[[0,0], [0,0],
[pad_height_top, pad_height_bottom], [pad_width_left, pad_width_right]]`.
when `data_format` is `"NHWC"`, `padding` can be in the form
`[[0,0], [pad_height_top, pad_height_bottom], [pad_width_left, pad_width_right], [0,0]]`.
Default: padding = 0.
dilation (int|tuple): The dilation size. It means the spacing between the kernel
points. If dilation is a tuple, it must contain two integers, (dilation_height,
dilation_width). Otherwise, dilation_height = dilation_width = dilation.
Default: dilation = 1.
groups (int): The groups number of the Conv2D Layer. According to grouped
convolution in Alex Krizhevsky's Deep CNN paper: when group=2,
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 channels. Default: groups=1.
data_format (str, optional): Specify the data format of the input, and the data format of the output
will be consistent with that of the input. An optional string from: `"NCHW"`, `"NHWC"`.
The default is `"NCHW"`. When it is `"NCHW"`, the data is stored in the order of:
`[batch_size, input_channels, input_height, input_width]`.
name(str, optional): For detailed information, please refer
to :ref:`api_guide_Name`. Usually name is no need to set and
None by default.
Returns:
A Tensor representing the conv2d result, whose data type is the same with input.
Raises:
ValueError: If `data_format` is not "NCHW" or "NHWC".
ValueError: If the channel dimension of the input is less than or equal to zero.
ValueError: If `padding` is a string, but not "SAME" or "VALID".
ValueError: If `padding` is a tuple, but the element corresponding to the input's batch size is not 0
or the element corresponding to the input's channel is not 0.
ShapeError: If the input is not 4-D Tensor.
ShapeError: If the input's dimension size and filter's dimension size not equal.
ShapeError: If the dimension size of input minus the size of `stride` is not 2.
ShapeError: If the number of input channels is not equal to filter's channels * groups.
ShapeError: If the number of output channels is not be divided by groups.
Examples:
.. code-block:: python
import paddle
import paddle.nn.functional as F
x_var = paddle.randn((2, 3, 8, 8), dtype='float32')
w_var = paddle.randn((6, 3, 3, 3), dtype='float32')
y_var = F.conv2d(x_var, w_var)
y_np = y_var.numpy()
print(y_np.shape)
# (2, 6, 6, 6)
"""
# entry checks
if data_format not in ["NCHW", "NHWC"]:
raise ValueError("Attr(data_format) should be 'NCHW' or 'NHWC'. "
"Received Attr(data_format): {}.".format(data_format))
channel_last = (data_format == "NHWC")
channel_dim = -1 if channel_last else 1
num_channels = x.shape[channel_dim]
num_filters = weight.shape[0]
if num_channels < 0:
raise ValueError("The channel dimension of the input({}) "
"should be defined. Received: {}.".format(
x.shape, num_channels))
if num_channels % groups != 0:
raise ValueError(
"the channel of input must be divisible by groups,"
"received: the channel of input is {}, the shape of input is {}"
", the groups is {}".format(num_channels, x.shape, groups))
if num_filters % groups != 0:
raise ValueError(
"the number of filters must be divisible by groups,"
"received: the number of filters is {}, the shape of weight is {}"
", the groups is {}".format(num_filters, weight.shape, groups))
# use_cudnn = True if core.is_compiled_with_cuda() else False
cudnn_version = get_cudnn_version()
use_cudnn = True if (core.is_compiled_with_cuda() and
cudnn_version is not None) else False
# update attrs
padding, padding_algorithm = _update_padding_nd(padding, channel_last, 2)
stride = utils.convert_to_list(stride, 2, 'stride')
dilation = utils.convert_to_list(dilation, 2, 'dilation')
l_type = "conv2d"
if (num_channels == groups and num_channels != 1 and
num_filters % num_channels == 0):
l_type = 'depthwise_conv2d'
use_cudnn = False
inputs = {'Input': [x], 'Filter': [weight]}
attrs = {
'strides': stride,
'paddings': padding,
'dilations': dilation,
'groups': groups,
'use_cudnn': use_cudnn,
'use_mkldnn': False,
'fuse_relu_before_depthwise_conv': False,
"padding_algorithm": padding_algorithm,
"data_format": data_format
}
if in_dygraph_mode():
attrs = ('strides', stride, 'paddings', padding, 'dilations', dilation,
'groups', groups, 'use_cudnn', use_cudnn, 'use_mkldnn', False,
'fuse_relu_before_depthwise_conv', False, "padding_algorithm",
padding_algorithm, "data_format", data_format)
pre_bias = getattr(core.ops, l_type)(x, weight, *attrs)
if bias is not None:
out = nn.elementwise_add(pre_bias, bias, axis=channel_dim)
else:
out = pre_bias
else:
inputs = {'Input': [x], 'Filter': [weight]}
attrs = {
'strides': stride,
'paddings': padding,
'dilations': dilation,
'groups': groups,
'use_cudnn': use_cudnn,
'use_mkldnn': False,
'fuse_relu_before_depthwise_conv': False,
"padding_algorithm": padding_algorithm,
"data_format": data_format
}
check_variable_and_dtype(x, 'x', ['float16', 'float32', 'float64'],
'conv2d')
helper = LayerHelper(l_type, **locals())
dtype = helper.input_dtype()
pre_bias = helper.create_variable_for_type_inference(dtype)
outputs = {"Output": [pre_bias]}
helper.append_op(
type=l_type, inputs=inputs, outputs=outputs, attrs=attrs)
if bias is not None:
out = nn.elementwise_add(pre_bias, bias, axis=channel_dim)
else:
out = pre_bias
return out
def conv1d_transpose(x,
weight,
bias=None,
stride=1,
padding=0,
output_padding=0,
groups=1,
dilation=1,
output_size=None,
data_format="NCL",
name=None):
"""
The 1-D convolution transpose layer calculates the output based on the input,
filter, and dilation, stride, padding. Input(Input) and output(Output)
are in 'NCL' format or 'NLC' where N is batch size, C is the number of channels,
L is the length of the feature. The details of convolution transpose
layer, please refer to the following explanation and references
`therein `_.
If bias attribution and activation type are provided, bias is added to
the output of the convolution, and the corresponding activation function
is applied to the final result.
For each input :math:`X`, the equation is:
.. math::
Out = \sigma (W \\ast X + b)
Where:
* :math:`X`: Input value, a 3-D Tensor with 'NCL' format or 'NLC' format.
* :math:`W`: Filter value, a 3-D Tensor with 'MCK' format.
* :math:`\\ast`: Convolution operation.
* :math:`b`: Bias value, a 2-D Tensor with shape [M, 1].
* :math:`\\sigma`: Activation function.
* :math:`Out`: Output value, a 3-D Tensor with data format 'NCL' or 'NLC', the shape of :math:`Out` and :math:`X` may be different.
Example:
- Input:
Input shape: :math:`(N, C_{in}, L_{in})`
Filter shape: :math:`(C_{in}, C_{out}, L_f)`
- Output:
Output shape: :math:`(N, C_{out}, L_{out})`
Where
.. math::
L^\prime_{out} &= (L_{in} - 1) * stride - pad_top - pad_bottom + dilation * (L_f - 1) + 1 + output_padding \\\\
L_{out} &\in [ L^\prime_{out}, L^\prime_{out} + stride ]
Note:
The conv1d_transpose can be seen as the backward of the conv1d. For conv1d,
when stride > 1, conv1d maps multiple input shape to the same output shape,
so for conv1d_transpose, when stride > 1, input shape maps multiple output shape.
If output_size is None, :math:`L_{out} = L^\prime_{out}`;
else, the :math:`L_{out}` of the output size must between :math:`L^\prime_{out}`
and :math:`L^\prime_{out} + stride`. conv1d_transpose can compute the kernel size automatically.
Args:
x(Tensor): 3-D tensor with [N, C, L] or [N, L, C] format,
its data type is float32 or float64.
weight(Tensor): The convolution kernel, a Tensor with shape [C, M/g, K],
where M is the number of output channels(filters), g is the number of groups,
K is the size of the kernel.
bias(Tensor, optional): The bias, a Tensor with shape [M, ].
stride(int|tuple|list, optional): The stride size. It means the stride in transposed convolution.
If stride is a tuple, it must contain one integer, `(stride_size)`.
Default: stride = 1.
padding(int|list|str|tuple, optional): The padding size. The padding argument effectively adds
`dilation * (kernel - 1)` amount of zero-padding on both sides of input. If `padding` is a
string, either 'VALID' or 'SAME' supported, which is the padding algorithm.
If `padding` is a tuple or list, it could be in two forms:
`[pad]` or `[pad_left, pad_right]`. Default: padding = 0.
output_padding(int|list|tuple, optional): The count of zeros to be added to tail of each dimension.
If it is a tuple, it must contain one integer. Default: 0.
groups(int, optional): The groups number of the conv1d transpose function. Inspired by
grouped convolution in Alex Krizhevsky's Deep CNN paper, in which
when group=2, 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 channels.
Default: groups = 1.
dilation(int|tuple|list, optional): The dilation size. It means the spacing between the kernel points.
If dilation is a tuple, it must contain one integer, `(dilation_size)`.
Default: dilation = 1.
output_size(int|tuple|list, optional): The output image size. If output size is a
tuple, it must contain one integer, `(feature_length)`. None if use
filter_size, padding, and stride to calculate output_size.
If output_size and filter_size are specified at the same time, They
should follow the formula above. Default: None. output_size and filter_size
should not be None at the same time.
data_format (str, optional): Specify the data format of the input, and the data format of the output
will be consistent with that of the input. An optional string from: `"NCL"`, `"NLC"`.
The default is `"NCL"`. When it is `"NCL"`, the data is stored in the order of:
`[batch_size, input_channels, input_length]`.
name(str, optional): For detailed information, please refer
to :ref:`api_guide_Name`. Usually name is no need to set and
None by default.
Returns:
A tensor representing the result of 1-D transpose convolution, whose
data type is the same with input. And its shape is (num_batches, channels, length)
when data_format is `"NCL"` and (num_batches, length, channels) when data_format is
`"NLC"`.
Raises:
ValueError: If `data_format` is a string, but not "NCL" or "NLC".
ValueError: If `padding` is a string, but not "SAME" or "VALID".
ValueError: If `padding` is a tuple, but the element corresponding to the input's batch size is not 0
or the element corresponding to the input's channel is not 0.
ValueError: If `output_size` and filter_size are None at the same time.
ValueError: If `output_padding` is greater than `stride`.
ShapeError: If the input is not 3-D Tensor.
ShapeError: If the input's dimension size and filter's dimension size not equal.
ShapeError: If the dimension size of input minus the size of `stride` is not 1.
ShapeError: If the number of input channels is not equal to filter's channels.
ShapeError: If the size of `output_size` is not equal to that of `stride`.
Examples:
.. code-block:: python
import paddle
import paddle.nn.functional as F
import numpy as np
# shape: (1, 2, 4)
x=np.array([[[4, 0, 9, 7],
[8, 0, 9, 2,]]]).astype(np.float32)
# shape: (2, 1, 2)
y=np.array([[[7, 0]],
[[4, 2]]]).astype(np.float32)
x_var = paddle.to_tensor(x)
w_var = paddle.to_tensor(w)
y_var = F.conv1d_transpose(x_var, w_var)
y_np = y_var.numpy()
print y_np
# [[[60. 16. 99. 75. 4.]]]
"""
cudnn_version = get_cudnn_version()
if cudnn_version is not None:
use_cudnn = True
else:
use_cudnn = False
if data_format not in ['NCL', 'NLC']:
raise ValueError(
"Attr(data_format) of conv2d_transpose got wrong value: "
"received {}, but only 'NCL' or 'NLC' are supported.".format(
data_format))
channel_last = (data_format == "NLC")
channel_dim = -1 if channel_last else 1
num_channels = x.shape[channel_dim]
if num_channels < 0:
raise ValueError("The channel dimension of the input({}) "
"should be defined. Received: {}.".format(
x.shape, num_channels))
if num_channels % groups != 0:
raise ValueError(
"the channel of input must be divisible by groups,"
"received: the channel of input is {}, the shape of input is {}"
", the groups is {}".format(num_channels, x.shape, groups))
# update attrs
padding, padding_algorithm = _update_padding_nd(padding, channel_last, 1)
if len(padding) == 2:
padding = padding + [0] * 2
elif len(padding) == 1:
padding = padding + [0]
else:
raise ValueError(
"The size of padding's dimension should 1 or 2. But got padding={}".
format(padding))
stride = utils.convert_to_list(stride, 1, 'stride') + [1]
dilation = utils.convert_to_list(dilation, 1, 'dilation') + [1]
if output_size is None:
output_size = []
else:
if output_padding != 0:
raise ValueError('output_padding option is mutually exclusive with '
'output_size')
if isinstance(output_size, (list, tuple, int)):
output_size = utils.convert_to_list(output_size, 1,
'output_size') + [1]
else:
raise ValueError(
"output_size should be int, or list, tuple of ints")
if output_padding == 0:
output_padding = []
else:
output_padding = utils.convert_to_list(output_padding, 1,
'output_padding') + [0]
if len(output_padding) > 0 and output_padding[0] > stride[0]:
raise ValueError(
"The size of output_padding should not be greater than stride."
"But got output_padding={} and stride={}".format(output_padding[0],
stride[0]))
op_type = 'conv2d_transpose'
num_filters = weight.shape[1]
if (num_channels == groups and num_channels != 1 and num_filters == 1 and
not use_cudnn):
op_type = 'depthwise_conv2d_transpose'
use_cudnn = False
squeeze_axis = -2 if channel_last else -1
conv2d_data_format = "NHWC" if channel_last else "NCHW"
x = nn.unsqueeze(input=x, axes=[squeeze_axis])
weight = nn.unsqueeze(input=weight, axes=[-1])
if in_dygraph_mode():
attrs = ('output_padding', output_padding, 'output_size', output_size,
'strides', stride, 'paddings', padding, 'padding_algorithm',
padding_algorithm, 'dilations', dilation, 'groups', groups,
'use_cudnn', use_cudnn, 'data_format', conv2d_data_format)
out = getattr(core.ops, op_type)(x, weight, *attrs)
if bias is not None:
out = nn.elementwise_add(out, bias, axis=channel_dim)
else:
inputs = {'Input': [x], 'Filter': [weight]}
attrs = {
'output_padding': output_padding,
'output_size': output_size,
'strides': stride,
'paddings': padding,
'padding_algorithm': padding_algorithm,
'dilations': dilation,
'groups': groups,
'use_cudnn': use_cudnn,
'data_format': conv2d_data_format
}
check_variable_and_dtype(x, 'input', ['float16', 'float32', 'float64'],
'conv2d_transpose')
helper = LayerHelper(op_type, **locals())
dtype = helper.input_dtype()
out = helper.create_variable_for_type_inference(dtype)
outputs = {"Output": [out]}
helper.append_op(
type=op_type, inputs=inputs, outputs=outputs, attrs=attrs)
if bias is not None:
out = nn.elementwise_add(out, bias, axis=channel_dim)
out = nn.squeeze(input=out, axes=[squeeze_axis])
return out
def conv2d_transpose(x,
weight,
bias=None,
stride=1,
padding=0,
output_padding=0,
dilation=1,
groups=1,
output_size=None,
data_format='NCHW',
name=None):
"""
The convolution2D transpose layer calculates the output based on the input,
filter, and dilations, strides, paddings. Input(Input) and output(Output)
are in NCHW or NHWC format. Where N is batch size, C is the number of channels,
H is the height of the feature, and W is the width of the feature.
Parameters(dilations, strides, paddings) are two elements. These two elements
represent height and width, respectively. The details of convolution transpose
layer, please refer to the following explanation and references
`therein `_.
If bias attribution and activation type are provided, bias is added to
the output of the convolution, and the corresponding activation function
is applied to the final result.
See more detail in :ref:`api_nn_conv_ConvTranspose2d` .
For each input :math:`X`, the equation is:
.. math::
Out = \sigma (W \\ast X + b)
Where:
* :math:`X`: Input value, a 4-D Tensor with NCHW or NHWC format.
* :math:`W`: Filter value, a 4-D Tensor with MCHW format.
* :math:`\\ast`: Convolution operation.
* :math:`b`: Bias value, a 2-D Tensor with shape [M, 1].
* :math:`\\sigma`: Activation function.
* :math:`Out`: Output value, a 4-D Tensor with data format 'NCHW' or 'NHWC', the shape of :math:`Out` and :math:`X` may be different.
Example:
- Input:
Input shape: :math:`(N, C_{in}, H_{in}, W_{in})`
Filter shape: :math:`(C_{in}, C_{out}, H_f, W_f)`
- Output:
Output shape: :math:`(N, C_{out}, H_{out}, W_{out})`
Where
.. math::
H^\prime_{out} &= (H_{in} - 1) * strides[0] - pad_height_top - pad_height_bottom + dilations[0] * (H_f - 1) + 1 \\\\
W^\prime_{out} &= (W_{in} - 1) * strides[1] - pad_width_left - pad_width_right + dilations[1] * (W_f - 1) + 1 \\\\
H_{out} &\in [ H^\prime_{out}, H^\prime_{out} + strides[0] ] \\\\
W_{out} &\in [ W^\prime_{out}, W^\prime_{out} + strides[1] ]
Note:
The conv2d_transpose can be seen as the backward of the conv2d. For conv2d,
when stride > 1, conv2d maps multiple input shape to the same output shape,
so for conv2d_transpose, when stride > 1, input shape maps multiple output shape.
If output_size is None, :math:`H_{out} = H^\prime_{out}, W_{out} = W^\prime_{out}`;
else, the :math:`H_{out}` of the output size must between :math:`H^\prime_{out}`
and :math:`H^\prime_{out} + strides[0]`, and the :math:`W_{out}` of the output size must
between :math:`W^\prime_{out}` and :math:`W^\prime_{out} + strides[1]`,
conv2d_transpose can compute the kernel size automatically.
Args:
x(Tensor): 4-D Tensor with [N, C, H, W] or [N, H, W, C] format,
whose data type is float32 or float64.
weight(Tensor): The convolution kernel, a Tensor with shape [C, M/g, kH, kW],
where M is the number of output channels(filters), g is the number of groups,
kH is the height of the kernel, and kW is the width of the kernel.
bias(Tensor, optional): The bias, a Tensor with shape [M, ].
stride(int|list|tuple, optional): The stride size. It means the stride in transposed convolution.
If stride is a tuple, it must contain two integers, (stride_height, stride_width).
Otherwise, stride_height = stride_width = stride. Default: stride = 1.
padding(str|int|list|tuple, optional): The padding size. It means the number of zero-paddings
on both sides for each dimension. If `padding` is a string, either 'VALID' or
'SAME' which is the padding algorithm. If padding size is a tuple or list,
it could be in three forms: `[pad_height, pad_width]` or
`[pad_height_top, pad_height_bottom, pad_width_left, pad_width_right]`,
and when `data_format` is `"NCHW"`, `padding` can be in the form
`[[0,0], [0,0], [pad_height_top, pad_height_bottom], [pad_width_left, pad_width_right]]`.
when `data_format` is `"NHWC"`, `padding` can be in the form
`[[0,0], [pad_height_top, pad_height_bottom], [pad_width_left, pad_width_right], [0,0]]`.
Default: padding = 0.
output_padding(int|list|tuple, optional): Additional size added to one side
of each dimension in the output shape. Default: 0.
groups(int, optional): The groups number of the Conv2D transpose layer. Inspired by
grouped convolution in Alex Krizhevsky's Deep CNN paper, in which
when group=2, 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 channels.
Default: groups = 1.
dilation(int|list|tuple, optional): The dilation size. It means the spacing between the kernel points.
If dilation is a tuple, it must contain two integers, (dilation_height, dilation_width).
Otherwise, dilation_height = dilation_width = dilation. Default: dilation = 1.
output_size(int|tuple|list, optional): The output image size. If output size is a
tuple, it must contain two integers, (image_height, image_width). None if use
filter_size, padding, and stride to calculate output_size.
If output_size is specified, output_size and filter_size (weight)'s shape
should follow the formula above. Default: None. output_size and filter_size
should not be None at the same time.
data_format (str, optional): Specify the data format of the input, and the data format of the output
will be consistent with that of the input. An optional string from: `"NCHW"`, `"NHWC"`.
The default is `"NCHW"`. When it is `"NCHW"`, the data is stored in the order of:
`[batch_size, input_channels, input_height, input_width]`.
name(str, optional): For detailed information, please refer
to :ref:`api_guide_Name`. Usually name is no need to set and
None by default.
Returns:
A Tensor representing the conv2d_transpose, whose
data type is the same with input and shape is (num_batches, channels, out_h,
out_w) or (num_batches, out_h, out_w, channels). The tensor variable storing
transposed convolution result.
Raises:
ValueError: If `data_format` is not "NCHW" or "NHWC".
ValueError: If `padding` is a string, but not "SAME" or "VALID".
ValueError: If `padding` is a tuple, but the element corresponding to the input's batch size is not 0
or the element corresponding to the input's channel is not 0.
ValueError: If `output_size` and kernel_size are None at the same time.
ShapeError: If the input is not 4-D Tensor.
ShapeError: If the input's dimension size and filter's dimension size not equal.
ShapeError: If the dimension size of input minus the size of `stride` is not 2.
ShapeError: If the number of input channels is not equal to filter's channels.
ShapeError: If the size of `output_size` is not equal to that of `stride`.
Examples:
.. code-block:: python
import paddle
import paddle.nn.functional as F
x_var = paddle.randn((2, 3, 8, 8), dtype='float32')
w_var = paddle.randn((3, 6, 3, 3), dtype='float32')
y_var = F.conv2d_transpose(x_var, w_var)
y_np = y_var.numpy()
print(y_np.shape)
# (2, 6, 10, 10)
"""
if data_format not in ['NCHW', 'NHWC']:
raise ValueError(
"Attr(data_format) of conv2d_transpose got wrong value: "
"received {}, but only 'NCHW' or 'NHWC' are supported.".format(
data_format))
channel_last = (data_format == "NHWC")
channel_dim = -1 if channel_last else 1
num_channels = x.shape[channel_dim]
if num_channels < 0:
raise ValueError("The channel dimension of the input({}) "
"should be defined. Received: {}.".format(
x.shape, num_channels))
if num_channels % groups != 0:
raise ValueError(
"the channel of input must be divisible by groups,"
"received: the channel of input is {}, the shape of input is {}"
", the groups is {}".format(num_channels, x.shape, groups))
cudnn_version = get_cudnn_version()
use_cudnn = True if (core.is_compiled_with_cuda() and
cudnn_version is not None) else False
# update attrs
padding, padding_algorithm = _update_padding_nd(padding, channel_last, 2)
stride = utils.convert_to_list(stride, 2, 'stride')
dilation = utils.convert_to_list(dilation, 2, 'dilation')
if output_size is None:
output_size = []
else:
if output_padding != 0:
raise ValueError('output_padding option is mutually exclusive with '
'output_size')
if isinstance(output_size, (list, tuple, int)):
output_size = utils.convert_to_list(output_size, 2, 'output_size')
else:
raise ValueError(
"output_size should be int, or list, tuple of ints")
if output_padding == 0:
output_padding = []
else:
output_padding = utils.convert_to_list(output_padding, 2,
'output_padding')
op_type = 'conv2d_transpose'
num_filters = weight.shape[1]
if (num_channels == groups and num_channels != 1 and num_filters == 1):
op_type = 'depthwise_conv2d_transpose'
use_cudnn = False
if in_dygraph_mode():
attrs = ('output_padding', output_padding, 'output_size', output_size,
'strides', stride, 'paddings', padding, 'padding_algorithm',
padding_algorithm, 'dilations', dilation, 'groups', groups,
'use_cudnn', use_cudnn, 'data_format', data_format)
pre_bias = getattr(core.ops, op_type)(x, weight, *attrs)
if bias is not None:
out = nn.elementwise_add(pre_bias, bias, axis=channel_dim)
else:
out = pre_bias
else:
inputs = {'Input': [x], 'Filter': [weight]}
attrs = {
'output_padding': output_padding,
'output_size': output_size,
'strides': stride,
'paddings': padding,
'padding_algorithm': padding_algorithm,
'dilations': dilation,
'groups': groups,
'use_cudnn': use_cudnn,
'data_format': data_format
}
check_variable_and_dtype(x, 'x', ['float16', 'float32', 'float64'],
'conv2d_transpose')
helper = LayerHelper(op_type, **locals())
pre_bias = helper.create_variable_for_type_inference(x.dtype)
outputs = {"Output": [pre_bias]}
helper.append_op(
type=op_type, inputs=inputs, outputs=outputs, attrs=attrs)
if bias is not None:
out = nn.elementwise_add(pre_bias, bias, axis=channel_dim)
else:
out = pre_bias
return out
def conv3d(x,
weight,
bias=None,
stride=1,
padding=0,
dilation=1,
groups=1,
data_format="NCDHW",
name=None):
"""
The convolution3D layer calculates the output based on the input, filter
and strides, paddings, dilations, groups parameters. Input(Input) and
Output(Output) are in NCDHW or NDHWC format. Where N is batch size C is the number of
channels, D is the depth of the feature, H is the height of the feature,
and W is the width of the feature. Convlution3D is similar with Convlution2D
but adds one dimension(depth). If bias attribution and activation type are
provided, bias is added to the output of the convolution, and the
corresponding activation function is applied to the final result.
For each input :math:`X`, the equation is:
.. math::
Out = \sigma (W \\ast X + b)
In the above equation:
* :math:`X`: Input value, a tensor with NCDHW or NDHWC format.
* :math:`W`: Filter value, a tensor with MCDHW format.
* :math:`\\ast`: Convolution operation.
* :math:`b`: Bias value, a 2-D tensor with shape [M, 1].
* :math:`\\sigma`: Activation function.
* :math:`Out`: Output value, the shape of :math:`Out` and :math:`X` may be different.
Example:
- Input:
Input shape: :math:`(N, C_{in}, D_{in}, H_{in}, W_{in})`
Filter shape: :math:`(C_{out}, C_{in}, D_f, H_f, W_f)`
- Output:
Output shape: :math:`(N, C_{out}, D_{out}, H_{out}, W_{out})`
Where
.. math::
D_{out}&= \\frac{(D_{in} + 2 * paddings[0] - (dilations[0] * (D_f - 1) + 1))}{strides[0]} + 1 \\\\
H_{out}&= \\frac{(H_{in} + 2 * paddings[1] - (dilations[1] * (H_f - 1) + 1))}{strides[1]} + 1 \\\\
W_{out}&= \\frac{(W_{in} + 2 * paddings[2] - (dilations[2] * (W_f - 1) + 1))}{strides[2]} + 1
Args:
x (Tensor): The input is 5-D Tensor with shape [N, C, D, H, W], the data
type of input is float16 or float32 or float64.
weight (Variable): The convolution kernel, a Tensor with shape [M, C/g, kD, kH, kW],
where M is the number of filters(output channels), g is the number of groups,
kD, kH, kW are the filter's depth, height and width respectively.
bias (Tensor, optional): The bias, a Tensor of shape [M, ].
stride (int|tuple): The stride size. It means the stride in convolution. If stride is a
tuple, it must contain three integers, (stride_depth, stride_height, stride_width).
Otherwise, stride_depth = stride_height = stride_width = stride. Default: stride = 1.
padding (string|int|list|tuple): The padding size. It means the number of zero-paddings
on both sides for each dimension. If `padding` is a string, either 'VALID' or
'SAME' which is the padding algorithm. If padding size is a tuple or list,
it could be in three forms: `[pad_depth, pad_height, pad_width]` or
`[pad_depth_front, pad_depth_back, pad_height_top, pad_height_bottom, pad_width_left, pad_width_right]`,
and when `data_format` is `"NCDHW"`, `padding` can be in the form
`[[0,0], [0,0], [pad_depth_front, pad_depth_back], [pad_height_top, pad_height_bottom], [pad_width_left, pad_width_right]]`.
when `data_format` is `"NDHWC"`, `padding` can be in the form
`[[0,0], [pad_depth_front, pad_depth_back], [pad_height_top, pad_height_bottom], [pad_width_left, pad_width_right], [0,0]]`.
Default: padding = 0.
dilation (int|tuple): The dilation size. It means the spacing between the kernel points.
If dilation is a tuple, it must contain three integers, (dilation_depth, dilation_height,
dilation_width). Otherwise, dilation_depth = dilation_height = dilation_width = dilation.
Default: dilation = 1.
groups (int): The groups number of the Conv3D Layer. According to grouped
convolution in Alex Krizhevsky's Deep CNN paper: when group=2,
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 channels. Default: groups=1
data_format (str, optional): Specify the data format of the input, and the data format of the output
will be consistent with that of the input. An optional string from: `"NCHW"`, `"NHWC"`.
The default is `"NCHW"`. When it is `"NCHW"`, the data is stored in the order of:
`[batch_size, input_channels, input_height, input_width]`.
name(str|None): For detailed information, please refer
to :ref:`api_guide_Name`. Usually name is no need to set and
None by default.
Returns:
A Tensor representing the conv3d, whose data type is
the same with input. If act is None, the tensor variable storing the
convolution result, and if act is not None, the tensor variable storing
convolution and non-linearity activation result.
Raises:
ValueError: If `data_format` is not "NCDHW" or "NDHWC".
ValueError: If the channel dimension of the input is less than or equal to zero.
ValueError: If `padding` is a string, but not "SAME" or "VALID".
ValueError: If `padding` is a tuple, but the element corresponding to the input's batch size is not 0
or the element corresponding to the input's channel is not 0.
ShapeError: If the input is not 5-D Tensor.
ShapeError: If the input's dimension size and filter's dimension size not equal.
ShapeError: If the dimension size of input minus the size of `stride` is not 2.
ShapeError: If the number of input channels is not equal to filter's channels * groups.
ShapeError: If the number of output channels is not be divided by groups.
Examples:
.. code-block:: python
import paddle
import paddle.nn.functional as F
x_var = paddle.randn((2, 3, 8, 8, 8), dtype='float32')
w_var = paddle.randn((6, 3, 3, 3, 3), dtype='float32')
y_var = F.conv3d(x_var, w_var)
y_np = y_var.numpy()
print(y_np.shape)
# (2, 6, 6, 6, 6)
"""
# entry check
if data_format not in ["NCDHW", "NDHWC"]:
raise ValueError(
"Attr(data_format) should be 'NCDHW' or 'NDHWC'. Received "
"Attr(data_format): {}.".format(data_format))
channel_last = (data_format == "NDHWC")
channel_dim = -1 if channel_last else 1
num_channels = x.shape[channel_dim]
num_filters = weight.shape[0]
if num_channels < 0:
raise ValueError(
"The channel dimension of the input({}) should be defined. "
"Received: {}.".format(x.shape, num_channels))
if num_channels % groups != 0:
raise ValueError(
"The number of input channels must be divisible by Attr(groups). "
"Received: number of channels({}), groups({}).".format(num_channels,
groups))
if num_filters % groups != 0:
raise ValueError(
"The number of filters must be divisible by Attr(groups). "
"Received: number of filters({}), groups({}).".format(num_filters,
groups))
cudnn_version = get_cudnn_version()
use_cudnn = True if (core.is_compiled_with_cuda() and
cudnn_version is not None) else False
padding, padding_algorithm = _update_padding_nd(padding, channel_last, 3)
stride = utils.convert_to_list(stride, 3, 'stride')
dilation = utils.convert_to_list(dilation, 3, 'dilation')
op_type = "conv3d"
if in_dygraph_mode():
attrs = ('strides', stride, 'paddings', padding, 'dilations', dilation,
'groups', groups, 'use_cudnn', use_cudnn, 'use_mkldnn', False,
"padding_algorithm", padding_algorithm, "data_format",
data_format)
pre_bias = getattr(core.ops, op_type)(x, weight, *attrs)
if bias is not None:
out = nn.elementwise_add(pre_bias, bias, axis=channel_dim)
else:
out = pre_bias
else:
inputs = {'Input': [x], 'Filter': [weight]}
attrs = {
'strides': stride,
'paddings': padding,
'dilations': dilation,
'groups': groups,
'use_cudnn': use_cudnn,
'use_mkldnn': False,
"padding_algorithm": padding_algorithm,
"data_format": data_format
}
helper = LayerHelper(op_type, **locals())
dtype = helper.input_dtype()
check_variable_and_dtype(x, 'x', ['float16', 'float32', 'float64'],
'conv3d')
pre_bias = helper.create_variable_for_type_inference(dtype)
outputs = {"Output": [pre_bias]}
helper.append_op(
type=op_type, inputs=inputs, outputs=outputs, attrs=attrs)
if bias is not None:
out = nn.elementwise_add(pre_bias, bias, axis=channel_dim)
else:
out = pre_bias
return out
def conv3d_transpose(x,
weight,
bias=None,
stride=1,
padding=0,
output_padding=0,
groups=1,
dilation=1,
output_size=None,
data_format='NCDHW',
name=None):
"""
The convolution3d transpose layer calculates the output based on the input,
filter, and dilations, strides, paddings. Input(Input) and output(Output)
are in NCDHW or NDHWC format. Where N is batch size, C is the number of channels,
D is the depth of the feature, H is the height of the feature, and W
is the width of the feature. Parameters(dilations, strides, paddings) are
two elements. These two elements represent height and width, respectively.
The details of convolution transpose layer, please refer to the following
explanation and references `therein `_.
If bias attribution and activation type are provided, bias is added to
the output of the convolution, and the corresponding activation function
is applied to the final result.
See more detail in :ref:`api_nn_conv_ConvTranspose3d` .
For each input :math:`X`, the equation is:
.. math::
Out = \sigma (W \\ast X + b)
In the above equation:
* :math:`X`: Input value, a Tensor with NCDHW or NDHWC format.
* :math:`W`: Filter value, a Tensor with MCDHW format.
* :math:`\\ast`: Convolution operation.
* :math:`b`: Bias value, a 2-D Tensor with shape [M, 1].
* :math:`\\sigma`: Activation function.
* :math:`Out`: Output value, the shape of :math:`Out` and :math:`X` may be different.
Example:
- Input:
Input shape: :math:`(N, C_{in}, D_{in}, H_{in}, W_{in})`
Filter shape: :math:`(C_{in}, C_{out}, D_f, H_f, W_f)`
- Output:
Output shape: :math:`(N, C_{out}, D_{out}, H_{out}, W_{out})`
Where
.. math::
D^\prime_{out} &= (D_{in} - 1) * strides[0] - 2 * paddings[0] + dilations[0] * (D_f - 1) + 1 \\\\
H^\prime_{out} &= (H_{in} - 1) * strides[1] - 2 * paddings[1] + dilations[1] * (H_f - 1) + 1 \\\\
W^\prime_{out} &= (W_{in} - 1) * strides[2] - 2 * paddings[2] + dilations[2] * (W_f - 1) + 1 \\\\
D_{out} &\in [ D^\prime_{out}, D^\prime_{out} + strides[0] ] \\\\
H_{out} &\in [ H^\prime_{out}, H^\prime_{out} + strides[1] ] \\\\
W_{out} &\in [ W^\prime_{out}, W^\prime_{out} + strides[2] ]
Note:
The conv3d_transpose can be seen as the backward of the conv3d. For conv3d,
when stride > 1, conv3d maps multiple input shape to the same output shape,
so for conv3d_transpose, when stride > 1, input shape maps multiple output shape.
If output_size is None, :math:`H_{out} = H^\prime_{out}, :math:`H_{out} = \
H^\prime_{out}, W_{out} = W^\prime_{out}`; else, the :math:`D_{out}` of the output
size must between :math:`D^\prime_{out}` and :math:`D^\prime_{out} + strides[0]`,
the :math:`H_{out}` of the output size must between :math:`H^\prime_{out}`
and :math:`H^\prime_{out} + strides[1]`, and the :math:`W_{out}` of the output size must
between :math:`W^\prime_{out}` and :math:`W^\prime_{out} + strides[2]`,
conv3d_transpose can compute the kernel size automatically.
Args:
x(Tensor): The input is 5-D Tensor with shape [N, C, D, H, W] or [N, D, H, W, C], the data type
of input is float32 or float64.
weight (Tensor): The convolution kernel, a Tensor with shape [C, M/g, kD, kH, kW],
where M is the number of filters(output channels), g is the number of groups,
kD, kH, kW are the filter's depth, height and width respectively.
bias (Tensor, optional): The bias, a Tensor of shape [M, ].
stride(int|list|tuple, optional): The stride size. It means the stride in transposed convolution.
If stride is a tuple, it must contain three integers, (stride_depth, stride_height,
stride_width). Otherwise, stride_depth = stride_height = stride_width = stride.
Default: stride = 1.
padding (string|int|list|tuple, optional): The padding size. It means the number of zero-paddings
on both sides for each dimension. If `padding` is a string, either 'VALID' or
'SAME' which is the padding algorithm. If padding size is a tuple or list,
it could be in three forms: `[pad_depth, pad_height, pad_width]` or
`[pad_depth_front, pad_depth_back, pad_height_top, pad_height_bottom, pad_width_left, pad_width_right]`,
and when `data_format` is `"NCDHW"`, `padding` can be in the form
`[[0,0], [0,0], [pad_depth_front, pad_depth_back], [pad_height_top, pad_height_bottom], [pad_width_left, pad_width_right]]`.
when `data_format` is `"NDHWC"`, `padding` can be in the form
`[[0,0], [pad_depth_front, pad_depth_back], [pad_height_top, pad_height_bottom], [pad_width_left, pad_width_right], [0,0]]`.
Default: padding = 0.
output_padding(int|list|tuple, optional): Additional size added to one side
of each dimension in the output shape. Default: 0.
groups(int, optional): The groups number of the Conv3D transpose layer. Inspired by
grouped convolution in Alex Krizhevsky's Deep CNN paper, in which
when group=2, 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 channels.
Default: groups=1
dilation(int|list|tuple, optional): The dilation size. It means the spacing between the kernel points.
If dilation is a tuple, it must contain three integers, (dilation_depth, dilation_height,
dilation_width). Otherwise, dilation_depth = dilation_height = dilation_width = dilation.
Default: dilation = 1.
output_size(int|list|tuple, optional): The output image size. If output size is a
tuple, it must contain three integers, (image_depth, image_height, image_width). This
parameter only works when filter_size is None. If output_size and filter_size are
specified at the same time, They should follow the formula above. Default: None.
Output_size and filter_size should not be None at the same time.
data_format (str, optional): Specify the data format of the input, and the data format of the output
will be consistent with that of the input. An optional string from: `"NCHW"`, `"NHWC"`.
The default is `"NCHW"`. When it is `"NCHW"`, the data is stored in the order of:
`[batch_size, input_channels, input_height, input_width]`.
name(str, optional): For detailed information, please refer
to :ref:`api_guide_Name`. Usually name is no need to set and
None by default.
Returns:
A Tensor representing the conv3d_transpose, whose data
type is the same with input and shape is (num_batches, channels, out_d, out_h,
out_w) or (num_batches, out_d, out_h, out_w, channels). If act is None, the tensor
variable storing the transposed convolution result, and if act is not None, the tensor
variable storing transposed convolution and non-linearity activation result.
Raises:
ValueError: If `data_format` is not "NCDHW" or "NDHWC".
ValueError: If `padding` is a string, but not "SAME" or "VALID".
ValueError: If `padding` is a tuple, but the element corresponding to the input's batch size is not 0
or the element corresponding to the input's channel is not 0.
ValueError: If `output_size` and kernel_size are None at the same time.
ShapeError: If the input is not 5-D Tensor.
ShapeError: If the input's dimension size and filter's dimension size not equal.
ShapeError: If the dimension size of input minus the size of `stride` is not 2.
ShapeError: If the number of input channels is not equal to filter's channels.
ShapeError: If the size of `output_size` is not equal to that of `stride`.
Examples:
.. code-block:: python
import paddle
import paddle.nn.functional as F
x_var = paddle.randn((2, 3, 8, 8, 8), dtype='float32')
w_var = paddle.randn((3, 6, 3, 3, 3), dtype='float32')
y_var = F.conv3d_transpose(x_var, w_var)
y_np = y_var.numpy()
print(y_np.shape)
# (2, 6, 10, 10, 10)
"""
# entry checks
if data_format not in ["NCDHW", "NDHWC"]:
raise ValueError(
"Attr(data_format) should be 'NCDHW' or 'NDHWC'. Received "
"Attr(data_format): {}.".format(data_format))
channel_last = (data_format == "NDHWC")
channel_dim = -1 if channel_last else 1
num_channels = x.shape[channel_dim]
num_filters = weight.shape[1]
if num_channels < 0:
raise ValueError(
"The channel dimension of the input({}) should be defined. "
"Received: {}.".format(x.shape, num_channels))
if num_channels % groups != 0:
raise ValueError(
"The number of input channels must be divisible by Attr(groups). "
"Received: number of channels({}), groups({}).".format(num_channels,
groups))
padding, padding_algorithm = _update_padding_nd(padding, channel_last, 3)
stride = utils.convert_to_list(stride, 3, 'stride')
dilation = utils.convert_to_list(dilation, 3, 'dilation')
if output_size is None:
output_size = []
else:
if output_padding != 0:
raise ValueError('output_padding option is mutually exclusive with '
'output_size')
if isinstance(output_size, (list, tuple, int)):
output_size = utils.convert_to_list(output_size, 3, 'output_size')
else:
raise ValueError(
"output_size should be int, or list, tuple of ints")
if output_padding == 0:
output_padding = []
else:
output_padding = utils.convert_to_list(output_padding, 3,
'output_padding')
cudnn_version = get_cudnn_version()
#TODO(LielinJiang): whether to use cudnn according to the version of cudnn
use_cudnn = True if (core.is_compiled_with_cuda() and
cudnn_version is not None) else False
op_type = 'conv3d_transpose'
data_format_ = "NHWC" if channel_last else "NCHW"
if in_dygraph_mode():
attrs = ('output_padding', output_padding, 'output_size', output_size,
'paddings', padding, "padding_algorithm", padding_algorithm,
'strides', stride, 'dilations', dilation, 'groups', groups,
'use_cudnn', use_cudnn, "data_format", data_format_)
pre_bias = getattr(core.ops, op_type)(x, weight, *attrs)
if bias is not None:
out = nn.elementwise_add(pre_bias, bias, axis=channel_dim)
else:
out = pre_bias
else:
inputs = {'Input': [x], 'Filter': [weight]}
attrs = {
'output_padding': output_padding,
'output_size': output_size,
'paddings': padding,
"padding_algorithm": padding_algorithm,
'strides': stride,
'dilations': dilation,
'groups': groups,
'use_cudnn': use_cudnn,
"data_format": data_format_
}
helper = LayerHelper(op_type, **locals())
check_variable_and_dtype(x, 'x', ['float16', 'float32', 'float64'],
'conv3d')
pre_bias = helper.create_variable_for_type_inference(x.dtype)
outputs = {"Output": [pre_bias]}
helper.append_op(
type=op_type, inputs=inputs, outputs=outputs, attrs=attrs)
if bias is not None:
out = nn.elementwise_add(pre_bias, bias, axis=channel_dim)
else:
out = pre_bias
return out