Quantization in Spiking Neural Networks

Fuente: arXiv
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Autores principales: Moser, Bernhard A., Lunglmayr, Michael
Formato: Preprint
Publicado: 2023
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author Moser, Bernhard A.
Lunglmayr, Michael
author_facet Moser, Bernhard A.
Lunglmayr, Michael
contents In spiking neural networks (SNN), at each node, an incoming sequence of weighted Dirac pulses is converted into an output sequence of weighted Dirac pulses by a leaky-integrate-and-fire (LIF) neuron model based on spike aggregation and thresholding. We show that this mapping can be understood as a quantization operator and state a corresponding formula for the quantization error by means of the Alexiewicz norm. This analysis has implications for rethinking re-initialization in the LIF model, leading to the proposal of 'reset-to-mod' as a modulo-based reset variant.
format Preprint
id arxiv_https___arxiv_org_abs_2305_08012
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Quantization in Spiking Neural Networks
Moser, Bernhard A.
Lunglmayr, Michael
Neural and Evolutionary Computing
Discrete Mathematics
Emerging Technologies
82C32, 41A65
In spiking neural networks (SNN), at each node, an incoming sequence of weighted Dirac pulses is converted into an output sequence of weighted Dirac pulses by a leaky-integrate-and-fire (LIF) neuron model based on spike aggregation and thresholding. We show that this mapping can be understood as a quantization operator and state a corresponding formula for the quantization error by means of the Alexiewicz norm. This analysis has implications for rethinking re-initialization in the LIF model, leading to the proposal of 'reset-to-mod' as a modulo-based reset variant.
title Quantization in Spiking Neural Networks
topic Neural and Evolutionary Computing
Discrete Mathematics
Emerging Technologies
82C32, 41A65
url https://arxiv.org/abs/2305.08012