CS 484 - Artificial Intelligence
Fall 2005

Loyola College > Department of Computer Science > CS 484 > Homework > Homework 7
1) Consider two perceptrons defined by the threshold expression w0 + w1x1 + w2x2 > 0. Perceptron A has weight values
w0 = 1, w1 = 2, w2 = 1
and perceptron B has the weight values
w0 = 0, w1 = 2, w2 = 1
True or False? Perceptron A is more_general_than perceptron B. (Recall more_general_than was defined in the previous chapter and has to do with the number of positive instances.) Explain.

2) Consider a two-layer feedforward ANN with two inputs a and b, one hidden unit c, and one output unit d. This network has five weights (wca, wcb, wc0, wdc, wd0) where wx0 represents the threshold weight for unit x. Initialize these weights to the values (.1, .1, .1, .1, .1), then give their values after each of the first two training iterations of the BACKPROPAGATION algorithm. Assume the learning rate a = .3, and momentum beta = 0.9, incremental wieght updates, and the following training examples

a b d
1 0 1
0 1 0