Quantization-based simulation of spiking neurons: theoretical properties and performance analysis

In this work we present an exhaustive analysis of the use of Quantized State Systems (QSS) algorithms for the discrete event simulation of Leaky Integrate and Fire models of spiking neurons. Making use of some properties of these algorithms, we first derive theoretical error bounds for the sub-thres...

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Detalhes bibliográficos
Autores: Bergonzi, Mariana, Fernandez, Joaquin, Castro, Rodrigo Daniel, Muzy, Alexandre, Kofman, Ernesto Javier
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/231433
Acesso em linha:http://hdl.handle.net/11336/231433
Access Level:acceso abierto
Palavra-chave:DISCONTINUITY HANDLING
EVENT-DRIVEN SIMULATION
HYBRID SYSTEMS
QUANTIZED STATE SYSTEMS
SPIKING NEURAL NETWORKS
https://purl.org/becyt/ford/1.2
https://purl.org/becyt/ford/1
Descrição
Resumo:In this work we present an exhaustive analysis of the use of Quantized State Systems (QSS) algorithms for the discrete event simulation of Leaky Integrate and Fire models of spiking neurons. Making use of some properties of these algorithms, we first derive theoretical error bounds for the sub-threshold dynamics as well as estimates of the computational costs as a function of the accuracy settings. Then, we corroborate those results on different simulation experiments, where we also study how these algorithms scale with the size of the network and its connectivity. The results obtained show that the QSS algorithms, without any type of optimisation or specialisation, obtain accurate results with low computational costs even in large networks with a high level of connectivity.