Consider a linear machine with discriminant functions
gi(x) = wtix + w0i; i = 1,..., c
and the decision rule: decide Wi if gi(x) > gj(x) for all j not= i. Suppose that decision
regions Rk and Rl are contiguous.
(a) Find the equation of the hyperplane Hij that forms the boundary between them.
(b) Find the orthogonal projection of x onto the hyperplane Hij .
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