Probabilistic Spiking Neuronal Nets

丛 书 名：Lecture Notes on Mathematical Modelling in the Life Sciences

版本说明：1

作     者：Antonio Galves Eva Löcherbach Christophe Pouzat 

I S B N：(纸本) 9783031684081 

出 版 社：Springer Cham 

出 版 年：1000年

页      数：XV, 199页

主 题 词：Mathematical and Computational Biology Probability Theory and Stochastic Processes Applications of Mathematics Statistical Theory and Methods Neurosciences 

摘      要：This book provides a self-contained introduction to a new class of stochastic models for systems of spiking neurons. These systems have a large number of interacting components, each one evolving as a stochastic process with a memory of variable length. Several mathematical tools are put to use, such as Markov chains, stochastic chains having memory of variable length, point processes having stochastic intensity, Hawkes processes, random graphs, mean field limits, perfect sampling algorithms, the Context algorithm, and statistical model selection.