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You are given a Convolutional Neural Network with an input of 4x4 on the lef...

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You

are given a Convolutional Neural Network with an input of 4x4 on the left-hand

side table and a kernel of 3x3 on the right-hand side table below.

4

8

0

1

0

0

2

4

0

1

5

3

7

1

0

0

Input

1

0

-1

0

0

0

-1

0

1

Kernel

Part

A:

The Convolutional Layer

1.      

Apply padding = 1. Draw the input with padding

(table style) and explain what you did

[15 marks].

2.      

Using a stride = 1, padding = 1 of the input

table, and the given kernel, calculate the output of the convolutional layer,

showing how you computed each output pixel. Draw the final output table (

hint:

the output table must be of the same dimension as the input table)

[25

marks].

Part

B:

The Pooling Layer

3.      

Using the original input table, down-sample the

input using

max pooling

using a 2x2 filter. Draw the result of the

pooling layer and show how you computed each pixel, explaining what the average

pooling operation does

[20 marks].

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