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[answered] 1st Semester 2001 Honours Adv. Topic: Artificial Neural Net


Consider the following two cost functions for a (simple single neuron) perceptron:

and

whereM(x) is the set of samples misclassified by the choice of weight vector w and N is the total number of input samples.

  1. Write the instantaneous equivalents of these two cost functions??????????????????

???????????

  1. Using any one of these functions, derive the perceptron update rule. Can be same rule be obtained by using the other function.?????????????????????????????????????????????????????????????????

What is the interpretation of the cost function J1 (or J2)? Comment briefly.


1st Semester 2001 Honours Adv. Topic: Artificial Neural Networks Consider the following two cost functions for a (simple single neuron) perceptron:

 

J1 (w ) ( w xM ( w ) T N d ( n) w x) and J (w ) 2 T x ( n) x ( n ) n 1 whereM(x) is the set of samples misclassified by the choice of weight vector w and N is the total

 

number of input samples.

 

i. Write the instantaneous equivalents of these two cost functions

 

ii. Using any one of these functions, derive the perceptron update rule. Can be same rule be

 

obtained by using the other function. What is the interpretation of the cost function J1 (or J2)? Comment briefly. 1

 


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