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Systems Engineering Assignment #8 Solution

    1. [4 points] Briefly compare neurons used in a) perceptron-type networks and b) RBF-type networks. [Hint: concentrate on what they compare, how tot is calculated, and how neuron output is determined]












2. [6 points] Consider the modified Hebbian learning rule

w
new
= w
old
(1 − α)+ hx
o







j
ij
ij
i



and assume the following values xi = oj = 1, learning rate    = 1, forgetting factor    = 0.1, and initial

old
= 0
.
weight wij



    a) Compare standard ( learning steps (i.e. plot



= 0) and modified Hebbian learning by plotting weights over 30 subsequent
new
as a function of time) using the parameters provided.
wij


b) Determine maximum value of weight w that can be obtained by modified Hebbian learning using the

parameters provided [Hint: in the limit case, the values of

w
new


ij

and

w
old


ij

would be identical].

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