The step size impact on the computational cost of spiking neuron simulation

Sergio Valadez-Godinez, Humberto Sossa, Raul Santiago-Montero

Research output: Contribution to conferencePaper

1 Citation (Scopus)

Abstract

© 2017 IEEE. Spiking neurons are mathematical models that simulate the generation of the electrical pulse at the neuron membrane. Most spiking neurons are expressed as a non-linear system of ordinary differential equations. Because these systems are hard to solve analytically, they must be solved using a numerical method through a discrete sequence of time steps. The step length is a factor affecting both the accuracy and computational cost of spiking neuron simulation. It is known the step size implications on the accuracy for some spiking neurons. However, it is unknown in which way the step size impacts the computational cost. We found that the computational cost as a function of the step length follows a power-law distribution. We reviewed the Leaky Integrate-and-Fire, Izhikevich, and Hodgkin-Huxley spiking neurons. Additionally, it was found that, with any step size, simulating the cerebral cortex in a sequential processing computer is prohibitive.
Original languageAmerican English
Pages722-728
Number of pages649
DOIs
StatePublished - 8 Jan 2018
EventProceedings of Computing Conference 2017 -
Duration: 8 Jan 2018 → …

Conference

ConferenceProceedings of Computing Conference 2017
Period8/01/18 → …

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Neurons
Costs
Ordinary differential equations
Nonlinear systems
Numerical methods
Fires
Mathematical models
Membranes
Processing

Cite this

Valadez-Godinez, S., Sossa, H., & Santiago-Montero, R. (2018). The step size impact on the computational cost of spiking neuron simulation. 722-728. Paper presented at Proceedings of Computing Conference 2017, . https://doi.org/10.1109/SAI.2017.8252176
Valadez-Godinez, Sergio ; Sossa, Humberto ; Santiago-Montero, Raul. / The step size impact on the computational cost of spiking neuron simulation. Paper presented at Proceedings of Computing Conference 2017, .649 p.
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Valadez-Godinez, S, Sossa, H & Santiago-Montero, R 2018, 'The step size impact on the computational cost of spiking neuron simulation', Paper presented at Proceedings of Computing Conference 2017, 8/01/18 pp. 722-728. https://doi.org/10.1109/SAI.2017.8252176

The step size impact on the computational cost of spiking neuron simulation. / Valadez-Godinez, Sergio; Sossa, Humberto; Santiago-Montero, Raul.

2018. 722-728 Paper presented at Proceedings of Computing Conference 2017, .

Research output: Contribution to conferencePaper

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Valadez-Godinez S, Sossa H, Santiago-Montero R. The step size impact on the computational cost of spiking neuron simulation. 2018. Paper presented at Proceedings of Computing Conference 2017, . https://doi.org/10.1109/SAI.2017.8252176