| 书目名称 | Probabilistic Spiking Neuronal Nets | | 副标题 | Neuromathematics for | | 编辑 | Antonio Galves,Eva Löcherbach,Christophe Pouzat | | 视频video | | | 概述 | provides a self-contained introduction to a new class of stochastic models for systems of spiking neurons.directed at mathematicians and neuroscientists and emphasizes a constructive and algorithmic p | | 丛书名称 | Lecture Notes on Mathematical Modelling in the Life Sciences | | 图书封面 |  | | 描述 | 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..The book’s focus on mathematically tractable objects distinguishes it from other texts on theoretical neuroscience. The biological complexity of neurons is not ignored, but reduced to some of its main features, such as the intrinsic randomness of neuronal dynamics. This reduction in complexity aims at explaining and reproducing statistical regularities and collective phenomena that are observed in experimental data, an approach that leads to mathematically rigorous results. ..With an emphasis on a constructive and algorithmic point of view, this book is directed towards mathematicians interested in learning about stochastic network models | | 出版日期 | Book 2024 | | 关键词 | mathematical neuroscience; mathematical statistics; spiking neurons; stochastic chains; probability; chai | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-68409-8 | | isbn_softcover | 978-3-031-68408-1 | | isbn_ebook | 978-3-031-68409-8Series ISSN 2193-4789 Series E-ISSN 2193-4797 | | issn_series | 2193-4789 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 19:24:28
