Decovolution function












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$begingroup$


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









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$endgroup$

















    0












    $begingroup$


    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









    share|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      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









      share|improve this question











      $endgroup$




      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






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      edited 40 mins ago









      Stephen Rauch

      1,52551330




      1,52551330










      asked 2 hours ago









      Edward AlhanounEdward Alhanoun

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