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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1723| Large deviations properties of maximum entropy markov chains from spike trains | |
| RODRIGO COFRE CESAR OCTAVIO MALDONADO AHUMADA Fernando Rosas | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.3390/e20080573 | |
| Computational neuroscience Spike train statistics Maximum entropy principle Large deviation theory Out-of-equilibrium statistical mechanics Thermodynamic formalism Entropy production | |
| "We consider the maximum entropy Markov chain inference approach to characterize the collective statistics of neuronal spike trains, focusing on the statistical properties of the inferred model. To find the maximum entropy Markov chain, we use the thermodynamic formalism, which provides insightful connections with statistical physics and thermodynamics from which large deviations properties arise naturally. We provide an accessible introduction to the maximum entropy Markov chain inference problem and large deviations theory to the community of computational neuroscience, avoiding some technicalities while preserving the core ideas and intuitions. We review large deviations techniques useful in spike train statistics to describe properties of accuracy and convergence in terms of sampling size. We use these results to study the statistical fluctuation of correlations, distinguishability, and irreversibility of maximum entropy Markov chains. We illustrate these applications using simple examples where the large deviation rate function is explicitly obtained for maximum entropy models of relevance in this field." | |
| MDPI AG | |
| 2018 | |
| Artículo | |
| Cofré, R.; Maldonado, C.; Rosas, F. Large Deviations Properties of Maximum Entropy Markov Chains from Spike Trains. Entropy 2018, 20, 573. | |
| MATEMÁTICAS | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Publicaciones Científicas Control y Sistemas Dinámicos |
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| Entropy20(2018)573.pdf | 1.83 MB | Adobe PDF | Visualizar/Abrir |