We would like a classifier that divides the interval of the input space defined below into five classes.
i. Use MATLAB to randomly generate 100 values in the interval shown above with a uniform distribution.
ii. Square each number so that the distribution is no longer uniform.
iii. Write a MATLAB M-file to implement a competitive layer. Use the M-file to train a five-neuron competitive layer on the squared values until its weights are fairly stable.
iv. How are the weight values of the competitive layer distributed? Is there some relationship between how the weights are distributed and how the squared input values are distributed?