Question 10: Consider an image X of size 4 \times 4, and a true label…

Consider an image $X$ of size $4 \times 4$, and a true label $y = 3$. The image is passed through a convolutional neural network with a single filter followed by a ReLU and a max-pooling operation.

$X = \begin{bmatrix} 1 & 0 & 3 & 2 \\ 0 & 1 & 0 & 2 \\ 2 & 1 & 1 & 0 \\ 1 & 0 & 2 & 1 \end{bmatrix}, \quad K = \begin{bmatrix} 1 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 1 \end{bmatrix}$

Parameters:

• Convolution: stride $S = 2$, padding $P = 1$
• Max pooling: filter size $F = 2$, stride $S = 2$, padding $P = 0$

Based on the above data, answer the given subquestions.