implementing conv2d in fourier domain using np.einsum --> ValueError: einstein sum subscripts string...
$begingroup$
According to the convolution theorem, convolution operation changes to pointwise multiplication in fourier domain - here I have 'fft_x' of shape (batchsize, height, width, in_channels) which is the fft of input data and similarly 'fft_kernel' of shape (height, width, in_channels, out_channels) which is fft of the kernel after being padded to image size. To get pointwise multiplication of these in efficient way, I was using einsum in the following way -
...
print(fft_x)
print(fft_kernel)
output = 0
n=int(self.no_of_kernels/2)+1 # n = out_channels here
for i in range(n):
output += np.einsum('ijkl,jkl->ijk', fft_x, fft_kernel[i])
return output
...
It gives the following output and error-
Tensor("input_11:0", shape=(?, 28, 28, 1), dtype=complex64)
Tensor("fourier__conv2d_11/transpose:0", shape=(28, 28, 1, 17), dtype=complex64)
...
...
ValueError: einstein sum subscripts string contains too many subscripts for operand 0
Could anyone please explain why this error is arising? Thanks in advance for any help.
python tensorflow numpy
asked 15 mins ago
psjpsj
112
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add a comment |
$begingroup$
According to the convolution theorem, convolution operation changes to pointwise multiplication in fourier domain - here I have 'fft_x' of shape (batchsize, height, width, in_channels) which is the fft of input data and similarly 'fft_kernel' of shape (height, width, in_channels, out_channels) which is fft of the kernel after being padded to image size. To get pointwise multiplication of these in efficient way, I was using einsum in the following way -
...
print(fft_x)
print(fft_kernel)
output = 0
n=int(self.no_of_kernels/2)+1 # n = out_channels here
for i in range(n):
output += np.einsum('ijkl,jkl->ijk', fft_x, fft_kernel[i])
return output
...
It gives the following output and error-
Tensor("input_11:0", shape=(?, 28, 28, 1), dtype=complex64)
Tensor("fourier__conv2d_11/transpose:0", shape=(28, 28, 1, 17), dtype=complex64)
...
...
ValueError: einstein sum subscripts string contains too many subscripts for operand 0
Could anyone please explain why this error is arising? Thanks in advance for any help.
python tensorflow numpy
asked 15 mins ago
psjpsj
112
$endgroup$
add a comment |
$begingroup$
According to the convolution theorem, convolution operation changes to pointwise multiplication in fourier domain - here I have 'fft_x' of shape (batchsize, height, width, in_channels) which is the fft of input data and similarly 'fft_kernel' of shape (height, width, in_channels, out_channels) which is fft of the kernel after being padded to image size. To get pointwise multiplication of these in efficient way, I was using einsum in the following way -
...
print(fft_x)
print(fft_kernel)
output = 0
n=int(self.no_of_kernels/2)+1 # n = out_channels here
for i in range(n):
output += np.einsum('ijkl,jkl->ijk', fft_x, fft_kernel[i])
return output
...
It gives the following output and error-
Tensor("input_11:0", shape=(?, 28, 28, 1), dtype=complex64)
Tensor("fourier__conv2d_11/transpose:0", shape=(28, 28, 1, 17), dtype=complex64)
...
...
ValueError: einstein sum subscripts string contains too many subscripts for operand 0
Could anyone please explain why this error is arising? Thanks in advance for any help.
python tensorflow numpy
asked 15 mins ago
psjpsj
112
$endgroup$
According to the convolution theorem, convolution operation changes to pointwise multiplication in fourier domain - here I have 'fft_x' of shape (batchsize, height, width, in_channels) which is the fft of input data and similarly 'fft_kernel' of shape (height, width, in_channels, out_channels) which is fft of the kernel after being padded to image size. To get pointwise multiplication of these in efficient way, I was using einsum in the following way -
...
print(fft_x)
print(fft_kernel)
output = 0
n=int(self.no_of_kernels/2)+1 # n = out_channels here
for i in range(n):
output += np.einsum('ijkl,jkl->ijk', fft_x, fft_kernel[i])
return output
...
It gives the following output and error-
Tensor("input_11:0", shape=(?, 28, 28, 1), dtype=complex64)
Tensor("fourier__conv2d_11/transpose:0", shape=(28, 28, 1, 17), dtype=complex64)
...
...
ValueError: einstein sum subscripts string contains too many subscripts for operand 0
Could anyone please explain why this error is arising? Thanks in advance for any help.
python tensorflow numpy
python tensorflow numpy
asked 15 mins ago
psjpsj
112
asked 15 mins ago
psjpsj
112
asked 15 mins ago
psjpsj
112
asked 15 mins ago
psjpsj
112
asked 15 mins ago
psjpsj
112
112
add a comment |
add a comment |
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