[SOLVED] STATS202-Homework 4

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Problem 1

Chapter 8, Exercise 4 (p. 332).

Problem 2

Chapter 8, Exercise 8 (p. 333).

Problem 3

Chapter 8, Exercise 10 (p. 334).

Problem 4

Chapter 8, Exercise 11 (p. 335).

Problem 5

Let xi : i = 1,…,p be the input predictor values andbe the K-dimensional output from a 2-layer and M-hidden unit neural network with sigmoid activation σ(a) = {1 + ea}−1 such that

Show that there exists an equivalent network that computes exactly the same output values, but with hidden unit activation functions given by, i.e.

Hint: first derive the relation between σ(a) and tanh(a). Then show that the parameters of the two networks differ by linear transformations.