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

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

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.

E. K. Blum | E. Blum

[1] Geoffrey E. Hinton,et al. Learning internal representations by error propagation , 1986 .

[2] Sylvie Thiria,et al. Automata networks and artificial intelligence , 1987 .

[3] Yves Chauvin,et al. A Back-Propagation Algorithm with Optimal Use of Hidden Units , 1988, NIPS.