Question: The convolution layer inside of a CNN is intrinsically an affine transformation: A vector is received as input and is multiplied with a matrix to

The convolution layer inside of a CNN is intrinsically an affine transformation: A vector is received as input and is multiplied with a matrix to produce an output (to which a bias vector is usually added before passing the result through a nonlinearity). This operation can be represented as y=Ax in which A describes the affine transformation.
We will first revisit the convolution layer as discussed in the class. Consider a convolution layer with a 3 x 3 kernel W operated on a single input channel X represented as:

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