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E. K. Blum
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Journal Articles

Approximation of Boolean Functions by Sigmoidal Networks: Part I: XOR and Other Two-Variable Functions

E. K. Blum
Publisher: Journals Gateway
Neural Computation (1989) 1 (4): 532–540.
DOI: https://doi.org/10.1162/neco.1989.1.4.532
Published: 01 December 1989
Abstract
We prove the existence of a manifold of exact solutions (mean-square error E = 0) of weights and thresholds for sigmoidal networks for XOR and other 2-variable Boolean functions. We also prove the existence of a manifold of local minima of E where E ≠ 0.
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