How to use the kymatio.scattering2d.backend.fft function in kymatio
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kymatio / kymatio / kymatio / scattering2d / scattering2d.py View on Github 
S[..., 0, :, :] = unpad(U_J_r)
n_order1 = 1
n_order2 = 1 + order1_size
for n1 in range(len(psi)):
j1 = psi[n1]['j']
U_1_c = cdgmm(U_0_c, psi[n1][0])
if(j1 > 0):
U_1_c = subsample_fourier(U_1_c, k=2 ** j1)
U_1_c = fft(U_1_c, 'C2C', inverse=True)
U_1_c = fft(modulus(U_1_c), 'C2C')
# Second low pass filter
U_2_c = subsample_fourier(cdgmm(U_1_c, phi[j1]), k=2**(J-j1))
U_J_r = fft(U_2_c, 'C2R')
S[..., n_order1, :, :] = unpad(U_J_r)
n_order1 += 1
if self.max_order == 2:
for n2 in range(len(psi)):
j2 = psi[n2]['j']
if(j1 < j2):
U_2_c = subsample_fourier(cdgmm(U_1_c, psi[n2][j1]), k=2 ** (j2-j1))
U_2_c = fft(U_2_c, 'C2C', inverse=True)
U_2_c = fft(modulus(U_2_c), 'C2C')
# Third low pass filter
U_2_c = subsample_fourier(cdgmm(U_2_c, phi[j2]), k=2 ** (J-j2))
U_J_r = fft(U_2_c, 'C2R')
S[..., n_order2, :, :] = unpad(U_J_r)if self.max_order == 2:
output_size += order2_size
S = input.new(input.size(0),
input.size(1),
output_size,
self.M_padded//(2**J)-2,
self.N_padded//(2**J)-2)
U_r = pad(input)
U_0_c = fft(U_r, 'C2C') # We trick here with U_r and U_2_c
# First low pass filter
U_1_c = subsample_fourier(cdgmm(U_0_c, phi[0]), k=2**J)
U_J_r = fft(U_1_c, 'C2R')
S[..., 0, :, :] = unpad(U_J_r)
n_order1 = 1
n_order2 = 1 + order1_size
for n1 in range(len(psi)):
j1 = psi[n1]['j']
U_1_c = cdgmm(U_0_c, psi[n1][0])
if(j1 > 0):
U_1_c = subsample_fourier(U_1_c, k=2 ** j1)
U_1_c = fft(U_1_c, 'C2C', inverse=True)
U_1_c = fft(modulus(U_1_c), 'C2C')
# Second low pass filter
U_2_c = subsample_fourier(cdgmm(U_1_c, phi[j1]), k=2**(J-j1))
U_J_r = fft(U_2_c, 'C2R')U_2_c = subsample_fourier(cdgmm(U_1_c, phi[j1]), k=2**(J-j1))
U_J_r = fft(U_2_c, 'C2R')
S[..., n_order1, :, :] = unpad(U_J_r)
n_order1 += 1
if self.max_order == 2:
for n2 in range(len(psi)):
j2 = psi[n2]['j']
if(j1 < j2):
U_2_c = subsample_fourier(cdgmm(U_1_c, psi[n2][j1]), k=2 ** (j2-j1))
U_2_c = fft(U_2_c, 'C2C', inverse=True)
U_2_c = fft(modulus(U_2_c), 'C2C')
# Third low pass filter
U_2_c = subsample_fourier(cdgmm(U_2_c, phi[j2]), k=2 ** (J-j2))
U_J_r = fft(U_2_c, 'C2R')
S[..., n_order2, :, :] = unpad(U_J_r)
n_order2 += 1
scattering_shape = S.shape[-3:]
S = S.reshape(batch_shape + scattering_shape)
return SU_1_c = subsample_fourier(U_1_c, k=2 ** j1)
U_1_c = fft(U_1_c, 'C2C', inverse=True)
U_1_c = fft(modulus(U_1_c), 'C2C')
# Second low pass filter
U_2_c = subsample_fourier(cdgmm(U_1_c, phi[j1]), k=2**(J-j1))
U_J_r = fft(U_2_c, 'C2R')
S[..., n_order1, :, :] = unpad(U_J_r)
n_order1 += 1
if self.max_order == 2:
for n2 in range(len(psi)):
j2 = psi[n2]['j']
if(j1 < j2):
U_2_c = subsample_fourier(cdgmm(U_1_c, psi[n2][j1]), k=2 ** (j2-j1))
U_2_c = fft(U_2_c, 'C2C', inverse=True)
U_2_c = fft(modulus(U_2_c), 'C2C')
# Third low pass filter
U_2_c = subsample_fourier(cdgmm(U_2_c, phi[j2]), k=2 ** (J-j2))
U_J_r = fft(U_2_c, 'C2R')
S[..., n_order2, :, :] = unpad(U_J_r)
n_order2 += 1
scattering_shape = S.shape[-3:]
S = S.reshape(batch_shape + scattering_shape)
return SU_1_c = fft(U_1_c, 'C2C', inverse=True)
U_1_c = fft(modulus(U_1_c), 'C2C')
# Second low pass filter
U_2_c = subsample_fourier(cdgmm(U_1_c, phi[j1]), k=2**(J-j1))
U_J_r = fft(U_2_c, 'C2R')
S[..., n_order1, :, :] = unpad(U_J_r)
n_order1 += 1
if self.max_order == 2:
for n2 in range(len(psi)):
j2 = psi[n2]['j']
if(j1 < j2):
U_2_c = subsample_fourier(cdgmm(U_1_c, psi[n2][j1]), k=2 ** (j2-j1))
U_2_c = fft(U_2_c, 'C2C', inverse=True)
U_2_c = fft(modulus(U_2_c), 'C2C')
# Third low pass filter
U_2_c = subsample_fourier(cdgmm(U_2_c, phi[j2]), k=2 ** (J-j2))
U_J_r = fft(U_2_c, 'C2R')
S[..., n_order2, :, :] = unpad(U_J_r)
n_order2 += 1
scattering_shape = S.shape[-3:]
S = S.reshape(batch_shape + scattering_shape)
return S# First low pass filter
U_1_c = subsample_fourier(cdgmm(U_0_c, phi[0]), k=2**J)
U_J_r = fft(U_1_c, 'C2R')
S[..., 0, :, :] = unpad(U_J_r)
n_order1 = 1
n_order2 = 1 + order1_size
for n1 in range(len(psi)):
j1 = psi[n1]['j']
U_1_c = cdgmm(U_0_c, psi[n1][0])
if(j1 > 0):
U_1_c = subsample_fourier(U_1_c, k=2 ** j1)
U_1_c = fft(U_1_c, 'C2C', inverse=True)
U_1_c = fft(modulus(U_1_c), 'C2C')
# Second low pass filter
U_2_c = subsample_fourier(cdgmm(U_1_c, phi[j1]), k=2**(J-j1))
U_J_r = fft(U_2_c, 'C2R')
S[..., n_order1, :, :] = unpad(U_J_r)
n_order1 += 1
if self.max_order == 2:
for n2 in range(len(psi)):
j2 = psi[n2]['j']
if(j1 < j2):
U_2_c = subsample_fourier(cdgmm(U_1_c, psi[n2][j1]), k=2 ** (j2-j1))
U_2_c = fft(U_2_c, 'C2C', inverse=True)
U_2_c = fft(modulus(U_2_c), 'C2C')
# Third low pass filter# First low pass filter
U_1_c = subsample_fourier(cdgmm(U_0_c, phi[0]), k=2**J)
U_J_r = fft(U_1_c, 'C2R')
S[..., 0, :, :] = unpad(U_J_r)
n_order1 = 1
n_order2 = 1 + order1_size
for n1 in range(len(psi)):
j1 = psi[n1]['j']
U_1_c = cdgmm(U_0_c, psi[n1][0])
if(j1 > 0):
U_1_c = subsample_fourier(U_1_c, k=2 ** j1)
U_1_c = fft(U_1_c, 'C2C', inverse=True)
U_1_c = fft(modulus(U_1_c), 'C2C')
# Second low pass filter
U_2_c = subsample_fourier(cdgmm(U_1_c, phi[j1]), k=2**(J-j1))
U_J_r = fft(U_2_c, 'C2R')
S[..., n_order1, :, :] = unpad(U_J_r)
n_order1 += 1
if self.max_order == 2:
for n2 in range(len(psi)):
j2 = psi[n2]['j']
if(j1 < j2):
U_2_c = subsample_fourier(cdgmm(U_1_c, psi[n2][j1]), k=2 ** (j2-j1))
U_2_c = fft(U_2_c, 'C2C', inverse=True)
U_2_c = fft(modulus(U_2_c), 'C2C')kymatio
Wavelet scattering transforms in Python with GPU acceleration
Package Health Score
63 / 100Popular kymatio functions
- kymatio.datasets
- kymatio.datasets.get_dataset_dir
- kymatio.Scattering1D
- kymatio.scattering1d.backend.fft1d_c2c
- kymatio.scattering1d.backend.modulus_complex
- kymatio.scattering1d.backend.real
- kymatio.scattering1d.backend.subsample_fourier
- kymatio.scattering1d.backend.unpad
- kymatio.scattering1d.filter_bank.calibrate_scattering_filters
- kymatio.scattering1d.filter_bank.scattering_filter_factory
- kymatio.scattering1d.utils._apply_phi
- kymatio.scattering1d.utils._apply_psi
- kymatio.scattering1d.utils.compute_border_indices
- kymatio.Scattering2D
- kymatio.scattering2d.backend.cdgmm
- kymatio.scattering2d.backend.fft
- kymatio.scattering2d.filter_bank.filter_bank
- kymatio.scattering2d.utils.compute_padding
- kymatio.scattering3d.utils.compute_integrals