Pattern Recognition, 4th Edition

MATLAB Programs and Exercises

Computer Programs

1. Generation of points around an (l − 1)-dimensional hyperplane: Write a MATLAB function named generate_hyper that generates randomly l-dimensional points xⁱ, = [x¹(i),x²(i),…,xⁱ(i)]^T around an (l − 1)-dimensional hyperplane H: w^Tx + w⁰ = 0, where w = [w¹, w²,…,w^l]^T. More specifically, the function takes as inputs: (a) the parameter (column) vector w for H (w^l. ≠ 0), (b) the offset w⁰ for H, (c) a positive parameter a that defines the range [−a, a], where each one of the first (l − 1) coordinates of the points is uniformly distributed, (d) the positive parameter e that defines the range [−e, e] of a uniformly distributed noise source, which is added to the term to produce the lth coordinate, ...