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ConvTranspose
Description
The convolution transpose operator consumes an input tensor and a filter, and computes the output.

If the pads parameter is provided the shape of the output is calculated via the following equation :
output_shape = stride * (input_size – 1) + output_padding + ((kernel_shape – 1) * dilations + 1) – pads[start_i] – pads[end_i]
output_shape can also be explicitly specified in which case pads values are auto generated using these equations :
total_padding = stride * (input_size – 1) + output_padding + ((kernel_shape – 1) * dilations + 1) – output_shape If (auto_pads == SAME_UPPER): pads[start_i] = total_padding/2; pads[end_i] = total_padding – (total_padding/2) Else: pads[start_i] = total_padding – (total_padding/2); pads[end_i] = (total_padding/2).
Β 
Input parameters
 specified_outputs_name :Β array, this parameter lets you manually assign custom names to the output tensors of a node.
 specified_outputs_name :Β array, this parameter lets you manually assign custom names to the output tensors of a node.
 Β Graphs in :Β cluster, ONNX model architecture.
Β Graphs in :Β cluster, ONNX model architecture.
 X (heterogeneous) –Β T : object, input data tensor from previous layer; has size (N x C x H x W), where N is the batch size, C is the number of channels, and H and W are the height and width. Note that this is for the 2D image. Otherwise the size is (N x C x D1 x D2 β¦ x Dn).
 X (heterogeneous) –Β T : object, input data tensor from previous layer; has size (N x C x H x W), where N is the batch size, C is the number of channels, and H and W are the height and width. Note that this is for the 2D image. Otherwise the size is (N x C x D1 x D2 β¦ x Dn). W (heterogeneous) – T : object, the weight tensor that will be used in the convolutions; has size (C x M/group x kH x kW), where C is the number of channels, and kH and kW are the height and width of the kernel, and M is the number of feature maps. For more than 2 dimensions, the weight shape will be (C x M/group x k1 x k2 x β¦ x kn), where (k1 x k2 x β¦ x kn) is the dimension of the kernel. The number of channels in the output should be equal to W.shape[1] * group (assuming zero based indices of the shape array).
 W (heterogeneous) – T : object, the weight tensor that will be used in the convolutions; has size (C x M/group x kH x kW), where C is the number of channels, and kH and kW are the height and width of the kernel, and M is the number of feature maps. For more than 2 dimensions, the weight shape will be (C x M/group x k1 x k2 x β¦ x kn), where (k1 x k2 x β¦ x kn) is the dimension of the kernel. The number of channels in the output should be equal to W.shape[1] * group (assuming zero based indices of the shape array). B (optional, heterogeneous) – T : object, optional 1D bias to be added to the convolution, has size of M.
 B (optional, heterogeneous) – T : object, optional 1D bias to be added to the convolution, has size of M.
 
			 Β Parameters : cluster,
Β Parameters : cluster,
 auto_pad : enum, auto_pad must be either NOTSET, SAME_UPPER, SAME_LOWER or VALID. Where default value is NOTSET, which means explicit padding is used. SAME_UPPER or SAME_LOWER mean pad the input so thatΒ
 auto_pad : enum, auto_pad must be either NOTSET, SAME_UPPER, SAME_LOWER or VALID. Where default value is NOTSET, which means explicit padding is used. SAME_UPPER or SAME_LOWER mean pad the input so thatΒ output_shapeΒ =Β input_shapeΒ *Β stridesΒ for each axisΒ i. The padding is split between the two sides equally or almost equally (depending on whether it is even or odd). In case the padding is an odd number, the extra padding is added at the end for SAME_UPPER and at the beginning for SAME_LOWER.
Default value βNOTSETβ. dilationsΒ : array, dilation value along each spatial axis of the filter. If not present, the dilation defaults to 1 along each spatial axis.
 dilationsΒ : array, dilation value along each spatial axis of the filter. If not present, the dilation defaults to 1 along each spatial axis.
Default value βemptyβ. group : integer, number of groups input channels and output channels are divided into.
 group : integer, number of groups input channels and output channels are divided into.
Default value β1β. kernel_shapeΒ : array, the shape of the convolution kernel. If not present, should be inferred from input W.
 kernel_shapeΒ : array, the shape of the convolution kernel. If not present, should be inferred from input W.
Default value βemptyβ. output_paddingΒ : array, additional elements added to the side with higher coordinate indices in the output. Each padding value in βoutput_paddingβ must be less than the corresponding stride/dilation dimension. By default, this attribute is a zero vector. Note that this attribute doesnβt directly affect the computed output values. It only controls the selection of the computed values, so changing this attribute only adds or removes output elements. If βoutput_shapeβ is explicitly provided, βoutput_paddingβ does not contribute additional size to βoutput_shapeβ but participates in the computation of the needed padding amount. This is also called adjs or adjustment in some frameworks.
 output_paddingΒ : array, additional elements added to the side with higher coordinate indices in the output. Each padding value in βoutput_paddingβ must be less than the corresponding stride/dilation dimension. By default, this attribute is a zero vector. Note that this attribute doesnβt directly affect the computed output values. It only controls the selection of the computed values, so changing this attribute only adds or removes output elements. If βoutput_shapeβ is explicitly provided, βoutput_paddingβ does not contribute additional size to βoutput_shapeβ but participates in the computation of the needed padding amount. This is also called adjs or adjustment in some frameworks.
Default value βemptyβ. output_shapeΒ : array, the shape of the output can be explicitly set which will cause pads values to be auto generated. If output_shape is specified pads values are ignored. See doc for details for equations to generate pads. Note that the output_shape attribute value should not include dimensions for batch size and channels, which are automatically inferred.
 output_shapeΒ : array, the shape of the output can be explicitly set which will cause pads values to be auto generated. If output_shape is specified pads values are ignored. See doc for details for equations to generate pads. Note that the output_shape attribute value should not include dimensions for batch size and channels, which are automatically inferred.
Default value βemptyβ. padsΒ : array, padding for the beginning and ending along each spatial axis, it can take any value greater than or equal to 0. The value represent the number of pixels added to the beginning and end part of the corresponding axis.Β
 padsΒ : array, padding for the beginning and ending along each spatial axis, it can take any value greater than or equal to 0. The value represent the number of pixels added to the beginning and end part of the corresponding axis.Β padsΒ format should be as follow [x1_begin, x2_beginβ¦x1_end, x2_end,β¦], where xi_begin the number of pixels added at the beginning of axisΒ iΒ and xi_end, the number of pixels added at the end of axisΒ i. This attribute cannot be used simultaneously with auto_pad attribute. If not present, the padding defaults to 0 along start and end of each spatial axis.
Default value βemptyβ. strides : array, stride along each spatial axis. If not present, the stride defaults to 1 along each spatial axis.
 strides : array, stride along each spatial axis. If not present, the stride defaults to 1 along each spatial axis.
Default value βemptyβ. Β training?Β :Β boolean, whether the layer is in training mode (can store data for backward).
Β training?Β :Β boolean, whether the layer is in training mode (can store data for backward).
Default value βTrueβ. Β lda coeff :Β float, defines the coefficient by which the loss derivative will be multiplied before being sent to the previous layer (since during the backward run we go backwards).
Β lda coeff :Β float, defines the coefficient by which the loss derivative will be multiplied before being sent to the previous layer (since during the backward run we go backwards).
Default value β1β.
 Β name (optional) :Β string, name of the node.
Β name (optional) :Β string, name of the node.
 
			Output parameters
 YΒ (heterogeneous) –Β T : object, output data tensor that contains the result of the convolution. The output dimensions are functions of the kernel size, stride size, pad lengths and group count. The number of channels in the output should be equal to W.shape[1] * group (assuming zero based indices of the shape array).
 YΒ (heterogeneous) –Β T : object, output data tensor that contains the result of the convolution. The output dimensions are functions of the kernel size, stride size, pad lengths and group count. The number of channels in the output should be equal to W.shape[1] * group (assuming zero based indices of the shape array).
Type Constraints
tensor(double),Β tensor(float),Β tensor(float16)) : Constrain input and output types to float tensors.