Hadamard Powers and Kernel Perceptrons

Published 18 Jul 2022 in math.RA | (2207.08853v2)

Abstract: We study a relation between Hadamard powers and polynomial kernel perceptrons. The rank of Hadamard powers for the special case of a Boolean matrix and for the generic case of a real matrix is computed explicitly. These results are interpreted in terms of the classification capacities of perceptrons.

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