Decovolution function
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I have an image (for example (7x7x3) and a filter (3x3x3)). I convolved the image with the filter and it became a (3x3) output. If I want to do the inverse operation and want it to become the image from the output and the filter. How can I implement this operation in Python with Numpy?
I don't know which operation I should use with the filter (inverse or transpose)?
Here is my code for the Deconvolution:
import numpy as np
def deConv(Z, cashe):
'''
deConv calculate the transpoe Convoultion between the output of the ConvNet and the filter
Arguments:
Z-- Output of the ConvNet Layer, an array of the shape()
'''
# Retrieve information from "cache"
(X_prev, W, b, s, p) = cashe
# Retrieve dimensions from X_prev's shape
(m, n_H_prev, n_W_prev, n_C_prev) = X_prev.shape
# Retrieve dimensions from W's shape
(f, f, n_C_prev, n_C) = W.shape
# Retrieve dimensions from Z's shape
(m, n_H, n_W, n_C) = Z.shape
#create initial array for the output of the Deconvolution
X_curr = np.zeros((m, n_H_prev, n_W_prev, n_C_prev))
#loop over the Training examples
for i in range (m):
#loop over the vertical of the output
for h in range(n_H):
#loop over the horizontal of the output
for w in range(n_W):
#loop over the
for c in range (n_C):
#loop over the color channels
for x in range(n_C_prev):
#inverse_W = np.linalg.pinv(W[:, :, x, c])
transpose_W = np.transpose(W[:,:,x,c])
#X_curr[i, h*s:h*s+f, w*s:w*s+f, x] += Z[i, h, w, c] * inverse_W
X_curr[i, h*s:h*s+f, w*s:w*s+f, x] += Z[i, h, w, c] * transpose_W
X_curr[i, h*s:h*s+f, w*s:w*s+f, :] += b[:,:,:,c]
X_curr = relu(X_curr)
return X_curr
python deep-learning convolution numpy
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add a comment |
$begingroup$
I have an image (for example (7x7x3) and a filter (3x3x3)). I convolved the image with the filter and it became a (3x3) output. If I want to do the inverse operation and want it to become the image from the output and the filter. How can I implement this operation in Python with Numpy?
I don't know which operation I should use with the filter (inverse or transpose)?
Here is my code for the Deconvolution:
import numpy as np
def deConv(Z, cashe):
'''
deConv calculate the transpoe Convoultion between the output of the ConvNet and the filter
Arguments:
Z-- Output of the ConvNet Layer, an array of the shape()
'''
# Retrieve information from "cache"
(X_prev, W, b, s, p) = cashe
# Retrieve dimensions from X_prev's shape
(m, n_H_prev, n_W_prev, n_C_prev) = X_prev.shape
# Retrieve dimensions from W's shape
(f, f, n_C_prev, n_C) = W.shape
# Retrieve dimensions from Z's shape
(m, n_H, n_W, n_C) = Z.shape
#create initial array for the output of the Deconvolution
X_curr = np.zeros((m, n_H_prev, n_W_prev, n_C_prev))
#loop over the Training examples
for i in range (m):
#loop over the vertical of the output
for h in range(n_H):
#loop over the horizontal of the output
for w in range(n_W):
#loop over the
for c in range (n_C):
#loop over the color channels
for x in range(n_C_prev):
#inverse_W = np.linalg.pinv(W[:, :, x, c])
transpose_W = np.transpose(W[:,:,x,c])
#X_curr[i, h*s:h*s+f, w*s:w*s+f, x] += Z[i, h, w, c] * inverse_W
X_curr[i, h*s:h*s+f, w*s:w*s+f, x] += Z[i, h, w, c] * transpose_W
X_curr[i, h*s:h*s+f, w*s:w*s+f, :] += b[:,:,:,c]
X_curr = relu(X_curr)
return X_curr
python deep-learning convolution numpy
$endgroup$
add a comment |
$begingroup$
I have an image (for example (7x7x3) and a filter (3x3x3)). I convolved the image with the filter and it became a (3x3) output. If I want to do the inverse operation and want it to become the image from the output and the filter. How can I implement this operation in Python with Numpy?
I don't know which operation I should use with the filter (inverse or transpose)?
Here is my code for the Deconvolution:
import numpy as np
def deConv(Z, cashe):
'''
deConv calculate the transpoe Convoultion between the output of the ConvNet and the filter
Arguments:
Z-- Output of the ConvNet Layer, an array of the shape()
'''
# Retrieve information from "cache"
(X_prev, W, b, s, p) = cashe
# Retrieve dimensions from X_prev's shape
(m, n_H_prev, n_W_prev, n_C_prev) = X_prev.shape
# Retrieve dimensions from W's shape
(f, f, n_C_prev, n_C) = W.shape
# Retrieve dimensions from Z's shape
(m, n_H, n_W, n_C) = Z.shape
#create initial array for the output of the Deconvolution
X_curr = np.zeros((m, n_H_prev, n_W_prev, n_C_prev))
#loop over the Training examples
for i in range (m):
#loop over the vertical of the output
for h in range(n_H):
#loop over the horizontal of the output
for w in range(n_W):
#loop over the
for c in range (n_C):
#loop over the color channels
for x in range(n_C_prev):
#inverse_W = np.linalg.pinv(W[:, :, x, c])
transpose_W = np.transpose(W[:,:,x,c])
#X_curr[i, h*s:h*s+f, w*s:w*s+f, x] += Z[i, h, w, c] * inverse_W
X_curr[i, h*s:h*s+f, w*s:w*s+f, x] += Z[i, h, w, c] * transpose_W
X_curr[i, h*s:h*s+f, w*s:w*s+f, :] += b[:,:,:,c]
X_curr = relu(X_curr)
return X_curr
python deep-learning convolution numpy
$endgroup$
I have an image (for example (7x7x3) and a filter (3x3x3)). I convolved the image with the filter and it became a (3x3) output. If I want to do the inverse operation and want it to become the image from the output and the filter. How can I implement this operation in Python with Numpy?
I don't know which operation I should use with the filter (inverse or transpose)?
Here is my code for the Deconvolution:
import numpy as np
def deConv(Z, cashe):
'''
deConv calculate the transpoe Convoultion between the output of the ConvNet and the filter
Arguments:
Z-- Output of the ConvNet Layer, an array of the shape()
'''
# Retrieve information from "cache"
(X_prev, W, b, s, p) = cashe
# Retrieve dimensions from X_prev's shape
(m, n_H_prev, n_W_prev, n_C_prev) = X_prev.shape
# Retrieve dimensions from W's shape
(f, f, n_C_prev, n_C) = W.shape
# Retrieve dimensions from Z's shape
(m, n_H, n_W, n_C) = Z.shape
#create initial array for the output of the Deconvolution
X_curr = np.zeros((m, n_H_prev, n_W_prev, n_C_prev))
#loop over the Training examples
for i in range (m):
#loop over the vertical of the output
for h in range(n_H):
#loop over the horizontal of the output
for w in range(n_W):
#loop over the
for c in range (n_C):
#loop over the color channels
for x in range(n_C_prev):
#inverse_W = np.linalg.pinv(W[:, :, x, c])
transpose_W = np.transpose(W[:,:,x,c])
#X_curr[i, h*s:h*s+f, w*s:w*s+f, x] += Z[i, h, w, c] * inverse_W
X_curr[i, h*s:h*s+f, w*s:w*s+f, x] += Z[i, h, w, c] * transpose_W
X_curr[i, h*s:h*s+f, w*s:w*s+f, :] += b[:,:,:,c]
X_curr = relu(X_curr)
return X_curr
python deep-learning convolution numpy
python deep-learning convolution numpy
edited 40 mins ago
Stephen Rauch
1,52551330
1,52551330
asked 2 hours ago
Edward AlhanounEdward Alhanoun
12
12
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