6 papers
Supervised Parameter Estimation of Neuron Populations from Multiple Firing Events
Long Le, Yao Li
The firing dynamics of biological neurons in mathematical models is often determined by the model's parameters, representing the neurons' underlying properties. The parameter estim…
Entropy, mutual information, and systematic measures of structured spiking neural networks
Wenjie Li, Yao Li
The aim of this paper is to investigate various information-theoretic measures, including entropy, mutual information, and some systematic measures that based on mutual information…
From deterministic dynamics to thermodynamic laws II: Fourier's law and mesoscopic limit equation
Yao Li
This paper consider the mesoscopic limit of a stochastic energy exchange model that is numerically derived from deterministic dynamics. The law of large numbers and the central lim…
Thermal conductivity and local thermodynamic equilibrium of stochastic energy exchange models
Yao Li, Wenbo Xie
In this paper we study macroscopic thermodynamic properties of a stochastic microscopic heat conduction model that is reduced from deterministic problems. Our goal is to numericall…
Firing rate and spatial correlation in a stochastic neural field model
Yao Li, Hui Xu
This paper studies a stochastic neural field model that is extended from our previous paper [14]. The neural field model consists of many heterogeneous local populations of neurons…
From billiards to thermodynamic laws: I. Stochastic energy exchange model
Yao Li, Lingchen Bu
This paper studies a billiards-like microscopic heat conduction model, which describes the dynamics of gas molecules in a long tube with thermalized boundary. We numerically invest…