Properties and applications of weakly nonlinear neurons

Authors:
Andrzej Bielecki;Dariusz Jabloński;Marek Kedzierski
Affiliations:
Institute of Computer Science, Jagiellonian University, Poland;Institute of Mathematics, Cracow University of Technology, Poland;Institute of Computer Science, Jagiellonian University, Poland
Venue:
Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)
Year:
2004

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Abstract

The purpose of the paper is to present solutions of some problems associated with implementations of a weakly nonlinear neuron. We give estimates between constants in the Feckan Theorem and relations guarantying the pseudo-orbit tracing property (POTP). Then, a weakly nonlinear neuron is applied to a XOR-like problem.