2. Consider an input with two channels and the convolution filter shown: Channel 1 1 0...

 

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2. Consider an input with two channels and the convolution filter shown: Channel 1 1 0 -1 Filter 1 0 1 0 1 Channel 2 1 -1 1 0 1 -2 1 2 20 2 1 0 1 1 0 -1 0 2 1 -1 0 2 -1 Filter 2 1 2 1 1 0 -1 0 COO 0 0 2 0 -2 -1 -2 123 -1 1 0 -1 a. What is the output shape on applying the filter with no padding and a stride of 1? Show intermediate work. b. What is the output shape on applying the filter with zero padding of 1 position and a stride of 2? Show intermediate work. c. Perform max pooling and average pooling using filters of size 3. Show intermediate work. 2. Consider an input with two channels and the convolution filter shown: Channel 1 1 0 -1 Filter 1 0 1 0 1 Channel 2 1 -1 1 0 1 -2 1 2 20 2 1 0 1 1 0 -1 0 2 1 -1 0 2 -1 Filter 2 1 2 1 1 0 -1 0 COO 0 0 2 0 -2 -1 -2 123 -1 1 0 -1 a. What is the output shape on applying the filter with no padding and a stride of 1? Show intermediate work. b. What is the output shape on applying the filter with zero padding of 1 position and a stride of 2? Show intermediate work. c. Perform max pooling and average pooling using filters of size 3. Show intermediate work.