ReSuMe — Proof of convergence

Poznań, Poland: Institute of Control and Information Engineering, Poznań University of Technology (2006) .

Institute of Control and Information Engineering, Poznań University of Technology

Abstract

We consider learning convergence in Spiking Neural Networks trained according to the ReSuMe learning rule. We begin with a short introduction of the ReSuMe learning rules and we define the learning scenarios to be considered. Next, we present a formal proof of learning convergence for the Spike Response Model (SRM) trained according to the defined scenarios. Finally, we demonstrate that the proof made for the SRM holds for the wide class of the spiking neurons.



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