1.

Record Nr.

UNINA9910694590303321

Titolo

Hearing on the 2008 presidential primaries and caucuses : what we've learned so far : hearing before the Committee on House Administration, House of Representatives, One Hundred Tenth Congress, second session, held in Washington, DC, April 9, 2008

Descrizione fisica

1 online resource (ii, 220 p.) : ill

Soggetti

Elections - Corrupt practices - United States - Prevention

Voting-machines - United States - Reliability

Electronic voting - United States - Reliability

Election workers - Training of - United States

Elections - United States - Management

Presidents - United States - Election - 2008

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia



2.

Record Nr.

UNINA9910897987203321

Autore

Galves Antonio

Titolo

Probabilistic Spiking Neuronal Nets : Neuromathematics for the Computer Era / / by Antonio Galves, Eva Löcherbach, Christophe Pouzat

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2024

ISBN

9783031684098

3031684095

Edizione

[1st ed. 2024.]

Descrizione fisica

1 online resource (203 pages)

Collana

Lecture Notes on Mathematical Modelling in the Life Sciences, , 2193-4797

Altri autori (Persone)

LöcherbachEva

PouzatChristophe

Disciplina

570.285

Soggetti

Biomathematics

Probabilities

Stochastic processes

Mathematical statistics

Neural circuitry

Mathematical and Computational Biology

Probability Theory

Stochastic Processes

Mathematical Statistics

Neural Circuits

Sistemes estocàstics

Xarxes neuronals (Informàtica)

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

A Neurophysiology Primer for Mathematicians -- A Discrete Time Stochastic Neural Network Model -- Mean Field Limits for Discrete Time Stochastic Neural Network Models -- But Time is Continuous! -- Models without Reset: Hawkes Processes -- What is a Stationary State in a Potentially Infinite System? -- Statistical Estimation of the Interaction Graph -- Mean Field Limits and Short-Term Synaptic



Facilitation in Continuous Time Models -- A Non-Exhaustive List of Some Open Questions -- Appendix A -- Appendix B -- Appendix C -- Appendix D -- Appendix E -- Appendix F -- References -- Index.

Sommario/riassunto

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 and their neurobiological underpinning, and neuroscientists interested in learning how to build and prove results with mathematical models that relate to actual experimental settings.