Statistical modelling of higher-order correlations in pools of neural activity

Simultaneous recordings from multiple neural units allow us to investigate the activity of very large neural ensembles. To understand how large ensembles of neurons process sensory information, it is necessary to develop suitable statistical models to describe the response variability of the record...

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Detalles Bibliográficos
Autores principales: Montani, Fernando Fabián, Phoka, Elena, Portesi, Mariela Adelina, Schultz, Simon R.
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2013
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/97220
https://ri.conicet.gov.ar/11336/23406
https://arxiv.org/abs/1211.6348
Aporte de:
id I19-R120-10915-97220
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Neural activity
Spike correlations
High-order correlations
Information-geometry approach
spellingShingle Física
Neural activity
Spike correlations
High-order correlations
Information-geometry approach
Montani, Fernando Fabián
Phoka, Elena
Portesi, Mariela Adelina
Schultz, Simon R.
Statistical modelling of higher-order correlations in pools of neural activity
topic_facet Física
Neural activity
Spike correlations
High-order correlations
Information-geometry approach
description Simultaneous recordings from multiple neural units allow us to investigate the activity of very large neural ensembles. To understand how large ensembles of neurons process sensory information, it is necessary to develop suitable statistical models to describe the response variability of the recorded spike trains. Using the information geometry framework, it is possible to estimate higher-order correlations by assigning one interaction parameter to each degree of correlation, leading to a (2^N-1)-dimensional model for a population with N neurons. However, this model suffers greatly from a combinatorial explosion, and the number of parameters to be estimated from the available sample size constitutes the main intractability reason of this approach. To quantify the extent of higher than pairwise spike correlations in pools of multiunit activity, we use an information-geometric approach within the framework of the extended central limit theorem considering all possible contributions from higher-order spike correlations. The identification of a deformation parameter allows us to provide a statistical characterisation of the amount of higher-order correlations in the case of a very large neural ensemble, significantly reducing the number of parameters, avoiding the sampling problem, and inferring the underlying dynamical properties of the network within pools of multiunit neural activity.
format Articulo
Preprint
author Montani, Fernando Fabián
Phoka, Elena
Portesi, Mariela Adelina
Schultz, Simon R.
author_facet Montani, Fernando Fabián
Phoka, Elena
Portesi, Mariela Adelina
Schultz, Simon R.
author_sort Montani, Fernando Fabián
title Statistical modelling of higher-order correlations in pools of neural activity
title_short Statistical modelling of higher-order correlations in pools of neural activity
title_full Statistical modelling of higher-order correlations in pools of neural activity
title_fullStr Statistical modelling of higher-order correlations in pools of neural activity
title_full_unstemmed Statistical modelling of higher-order correlations in pools of neural activity
title_sort statistical modelling of higher-order correlations in pools of neural activity
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/97220
https://ri.conicet.gov.ar/11336/23406
https://arxiv.org/abs/1211.6348
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