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Let the d components of x be either 0 or 1. Suppose we assign x to 1 if the number of non-zero components of x
Let the d components of x be either 0 or 1. Suppose we assign x to 1 if the number of non-zero components of x is odd, and to 2 otherwise. (This is called the d-bit parity problem.) (a) Show that this dichotomy is not linearly separable if d > 1. (b) Show that this problem can be solved by a piecewise linear machine with d+1 weight vectors wij
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