Inference Methods for Interaction and Noise Intensities Using Only Spike-time Data on Coupled Oscillators
Biological Physics
2021-06-25 v2 Neurons and Cognition
Abstract
We propose theoretical methods to infer coupling strength and noise intensity simultaneously through an observation of spike timing in two well-synchronized noisy oscillators. A phase oscillator model is applied to derive formulae relating each of the parameters to some statistics from spike-time data. Using these formulae, each parameter is inferred from a specific set of statistics. We demonstrate the methods with the FitzHugh-Nagumo model as well as the phase model. Our methods do not require any external perturbation and thus are ready for application to various experimental systems.
Cite
@article{arxiv.1308.6140,
title = {Inference Methods for Interaction and Noise Intensities Using Only Spike-time Data on Coupled Oscillators},
author = {Fumito Mori and Hiroshi Kori},
journal= {arXiv preprint arXiv:1308.6140},
year = {2021}
}