Question

Q19: Consider d activation maps of height and width h and w, respectively. You want to construct d activation maps, each of height and width h/2 and w/2, respectively. Write the specifications of a convolution (not max pooling) operation you would apply to achieve this.

Answer 1

--> Input is h * w * d

--> Suppose size of filter is n * m

--> So, we need the following

     h - n + 1 = h/2     => n = h/2 + 1

     w - m + 1 = w/2   => m = w/2 + 1

--> The number of output activation maps is d.

--> Hence specification of convolution operation is :

           (h/2+1) * (w/2+1) * d

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