Efficient Learning Using Spiking Neural Networks Equipped With Affine Encoders and Decoders

arXiv:2404.04549v1 Announce Type: cross
Abstract: We study the learning problem associated with spiking neural networks. Specifically, we consider hypothesis sets of spiking neural networks with affine temporal encoders and decoders and simple spiking neurons having only positive synaptic weights. We demonstrate that the positivity of the weights continues to enable a wide range of expressivity results, including rate-optimal approximation of smooth functions or approximation without the curse of dimensionality. Moreover, positive-weight spiking neural networks are shown to depend continuously on …

abstract arxiv cs.lg cs.ne hypothesis math.fa networks neural networks neurons positive simple spiking neural networks stat.ml study temporal type