Pinverse
Pinverse
torch_pinverse(self, rcond = 0)
self |
(Tensor) The input tensor of size (*, m, n) where * is zero or more batch dimensions |
rcond |
(float) A floating point value to determine the cutoff for small singular values. Default: 1e-15 |
Calculates the pseudo-inverse (also known as the Moore-Penrose inverse) of a 2D tensor.
Please look at Moore-Penrose inverse
_ for more details
This method is implemented using the Singular Value Decomposition.
The pseudo-inverse is not necessarily a continuous function in the elements of the matrix `[1]`_. Therefore, derivatives are not always existent, and exist for a constant rank only `[2]`_. However, this method is backprop-able due to the implementation by using SVD results, and could be unstable. Double-backward will also be unstable due to the usage of SVD internally. See `~torch.svd` for more details.
if (torch_is_installed()) { input = torch_randn(c(3, 5)) input torch_pinverse(input) # Batched pinverse example a = torch_randn(c(2,6,3)) b = torch_pinverse(a) torch_matmul(b, a) }
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