Illinois Institute Of Technology

CS 577

Question 1: Convolutional Neural Networks (a) [8 pts] Given an 5 × 5 × 2 input I, calculate the result of the convolution with 3 × 3 × 2 filter K and bias = 1, with stride = 2 and no padding. I : 2 2 0 1 1 2 1 0 1 0 1 2 0 2 1 2 0 1 0 0 1 0 0 1 0 1 1 0 2 2 1 0 2 1 0 1 2 2 1 2 0 1 1 0 1 0 0 1 2 2 K : -1 -1 0 -1 -1 1 0 1 1 1 1 1 1 0 -1 -1 -1 -1 bias: 1 (b) [4 pts] Calculate the result of applying ReLU to the answer of (a). (c) [8 pts] Given an input I, calculate the result of the max pooling with a 2 × 2 filter, stride = 2. I : 17 14 21 0 30 32 1 38 16 33 34 23 12 7 26 18 5 28 22 25 11 40 15 19 13 36 24 48 3 20