Applies a 1D power-average pooling over an input signal composed of several input planes.
Source:R/nn-pooling.R
nn_lp_pool1d.Rd
On each window, the function computed is:
Arguments
- norm_type
if inf than one gets max pooling if 0 you get sum pooling ( proportional to the avg pooling)
- kernel_size
a single int, the size of the window
- stride
a single int, the stride of the window. Default value is
kernel_size
- ceil_mode
when TRUE, will use
ceil
instead offloor
to compute the output shape
Details
$$ f(X) = \sqrt[p]{\sum_{x \in X} x^{p}} $$
At p = \(\infty\), one gets Max Pooling
At p = 1, one gets Sum Pooling (which is proportional to Average Pooling)
Note
If the sum to the power of p
is zero, the gradient of this function is
not defined. This implementation will set the gradient to zero in this case.
Shape
Input: \((N, C, L_{in})\)
Output: \((N, C, L_{out})\), where
$$ L_{out} = \left\lfloor\frac{L_{in} - \mbox{kernel\_size}}{\mbox{stride}} + 1\right\rfloor $$
Examples
if (torch_is_installed()) {
# power-2 pool of window of length 3, with stride 2.
m <- nn_lp_pool1d(2, 3, stride = 2)
input <- torch_randn(20, 16, 50)
output <- m(input)
}