Conv1D module
Applies a 1D convolution over an input signal composed of several input planes. In the simplest case, the output value of the layer with input size (N, C_{\mbox{in}}, L) and output (N, C_{\mbox{out}}, L_{\mbox{out}}) can be precisely described as:
nn_conv1d( in_channels, out_channels, kernel_size, stride = 1, padding = 0, dilation = 1, groups = 1, bias = TRUE, padding_mode = "zeros" )
in_channels |
(int): Number of channels in the input image |
out_channels |
(int): Number of channels produced by the convolution |
kernel_size |
(int or tuple): Size of the convolving kernel |
stride |
(int or tuple, optional): Stride of the convolution. Default: 1 |
padding |
(int or tuple, optional): Zero-padding added to both sides of the input. Default: 0 |
dilation |
(int or tuple, optional): Spacing between kernel elements. Default: 1 |
groups |
(int, optional): Number of blocked connections from input channels to output channels. Default: 1 |
bias |
(bool, optional): If |
padding_mode |
(string, optional): |
\mbox{out}(N_i, C_{\mbox{out}_j}) = \mbox{bias}(C_{\mbox{out}_j}) + ∑_{k = 0}^{C_{in} - 1} \mbox{weight}(C_{\mbox{out}_j}, k) \star \mbox{input}(N_i, k)
where \star is the valid cross-correlation operator, N is a batch size, C denotes a number of channels, L is a length of signal sequence.
stride
controls the stride for the cross-correlation, a single
number or a one-element tuple.
padding
controls the amount of implicit zero-paddings on both sides
for padding
number of points.
dilation
controls the spacing between the kernel points; also
known as the à trous algorithm. It is harder to describe, but this
link
has a nice visualization of what dilation
does.
groups
controls the connections between inputs and outputs.
in_channels
and out_channels
must both be divisible by
groups
. For example,
At groups=1, all inputs are convolved to all outputs.
At groups=2, the operation becomes equivalent to having two conv layers side by side, each seeing half the input channels, and producing half the output channels, and both subsequently concatenated.
At groups= in_channels
, each input channel is convolved with
its own set of filters,
of size ≤ft\lfloor\frac{out\_channels}{in\_channels}\right\rfloor.
Depending of the size of your kernel, several (of the last)
columns of the input might be lost, because it is a valid
cross-correlation
, and not a full cross-correlation
.
It is up to the user to add proper padding.
When groups == in_channels
and out_channels == K * in_channels
,
where K
is a positive integer, this operation is also termed in
literature as depthwise convolution.
In other words, for an input of size (N, C_{in}, L_{in}),
a depthwise convolution with a depthwise multiplier K
, can be constructed by arguments
(C_{\mbox{in}}=C_{in}, C_{\mbox{out}}=C_{in} \times K, ..., \mbox{groups}=C_{in}).
Input: (N, C_{in}, L_{in})
Output: (N, C_{out}, L_{out}) where
L_{out} = ≤ft\lfloor\frac{L_{in} + 2 \times \mbox{padding} - \mbox{dilation} \times (\mbox{kernel\_size} - 1) - 1}{\mbox{stride}} + 1\right\rfloor
weight (Tensor): the learnable weights of the module of shape (\mbox{out\_channels}, \frac{\mbox{in\_channels}}{\mbox{groups}}, \mbox{kernel\_size}). The values of these weights are sampled from \mathcal{U}(-√{k}, √{k}) where k = \frac{groups}{C_{\mbox{in}} * \mbox{kernel\_size}}
bias (Tensor): the learnable bias of the module of shape
(out_channels). If bias
is TRUE
, then the values of these weights are
sampled from \mathcal{U}(-√{k}, √{k}) where
k = \frac{groups}{C_{\mbox{in}} * \mbox{kernel\_size}}
if (torch_is_installed()) { m <- nn_conv1d(16, 33, 3, stride=2) input <- torch_randn(20, 16, 50) output <- m(input) }
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