Assignment_2

Assignment_2 - ME697 Assignment #2 Due: 2/23/10 Spring 2012...

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M E697 Assignment #2 Due: 2/23/10 Spring 2012 1. Construct a three layer feedforward neural network (one hidden layer) using the back propagation learning algorithm to approximate the following two input and one output function: (10 pts) 2 2 22 12 1 2 1 2 (1 ) ) 23 5 1 112 1 1 2 11 (, ) 3 ( 1 ) 1 0 ( ) 53 3 3, 3 3 1 x xx x Fxx x e x x e e −−+ −− −+− =− −≤ ≤ x x x Show the error reduction graphically with the increasing number of hidden nodes using the following criterion: [] = = = N k N k d k d k y k d NDEI 1 2 1 2 ) ( ) ( ) ( 2. Construct a radial basis function neural network for the sample problem given in Problem 1, using the Gaussian basis function. Use the linear least square technique to update the
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