Approximation of Boolean Functions by Sigmoidal Networks: Part I: XOR and Other Two-Variable Functions-Reference-Cited by-同舟云学术

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

Published:1989-12 Issue:4 Volume:1 Page:532-540
ISSN:0899-7667
Container-title:Neural Computation
language:en
Short-container-title:Neural Computation

Author:

Blum E. K.¹

Affiliation:

1. Mathematics Department, University of Southern California, Los Angeles, CA 90089 USA

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.

Publisher

MIT Press - Journals

Subject

Cognitive Neuroscience,Arts and Humanities (miscellaneous)

Link

https://www.mitpressjournals.org/doi/pdf/10.1162/neco.1989.1.4.532

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