Write a Matlab program to create and train a multilayer perceptron using backpropogation algorithm with momentum. Use your network to classify the data below. Divide your data into a training set and testing set in a 2:1 ratio. Perform the following experiments with your network: a. Experiment with the following values of the learning rate () and momentum parameter () and comment on your results. Determine the values of and that yield the best classification accuracy.

{0.001,0.01,0.1,0.25,0.5}

{0,0.1,0.5,0.8,0.99}

b. Use the Levenberg-Marquardt variant of backpropagation to train your network and compare its performance with classical backpropagation.

c. Use the Nguyen-Widrow technique for weight initialization and compare the network's performance to that using random weight initialization.

d. Use 3-fold cross validation to test and train your network. Comment on the network's performance.