Measuring Fisher information accurately in correlated neural populations.

Neural responses are known to be variable. In order to understand how this neural variability constrains behavioral performance, we need to be able to measure the reliability with which a sensory stimulus is encoded in a given population. However, such measures are challenging for two reasons: First...

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Main Authors: Ingmar Kanitscheider, Ruben Coen-Cagli, Adam Kohn, Alexandre Pouget
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2015-06-01
Series:PLoS Computational Biology
Online Access:http://europepmc.org/articles/PMC4451760?pdf=render
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author Ingmar Kanitscheider
Ruben Coen-Cagli
Adam Kohn
Alexandre Pouget
author_facet Ingmar Kanitscheider
Ruben Coen-Cagli
Adam Kohn
Alexandre Pouget
author_sort Ingmar Kanitscheider
collection DOAJ
description Neural responses are known to be variable. In order to understand how this neural variability constrains behavioral performance, we need to be able to measure the reliability with which a sensory stimulus is encoded in a given population. However, such measures are challenging for two reasons: First, they must take into account noise correlations which can have a large influence on reliability. Second, they need to be as efficient as possible, since the number of trials available in a set of neural recording is usually limited by experimental constraints. Traditionally, cross-validated decoding has been used as a reliability measure, but it only provides a lower bound on reliability and underestimates reliability substantially in small datasets. We show that, if the number of trials per condition is larger than the number of neurons, there is an alternative, direct estimate of reliability which consistently leads to smaller errors and is much faster to compute. The superior performance of the direct estimator is evident both for simulated data and for neuronal population recordings from macaque primary visual cortex. Furthermore we propose generalizations of the direct estimator which measure changes in stimulus encoding across conditions and the impact of correlations on encoding and decoding, typically denoted by Ishuffle and Idiag respectively.
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spelling doaj.art-6430ddabc2ef475190291a77f144c8c72022-12-22T03:18:46ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582015-06-01116e100421810.1371/journal.pcbi.1004218Measuring Fisher information accurately in correlated neural populations.Ingmar KanitscheiderRuben Coen-CagliAdam KohnAlexandre PougetNeural responses are known to be variable. In order to understand how this neural variability constrains behavioral performance, we need to be able to measure the reliability with which a sensory stimulus is encoded in a given population. However, such measures are challenging for two reasons: First, they must take into account noise correlations which can have a large influence on reliability. Second, they need to be as efficient as possible, since the number of trials available in a set of neural recording is usually limited by experimental constraints. Traditionally, cross-validated decoding has been used as a reliability measure, but it only provides a lower bound on reliability and underestimates reliability substantially in small datasets. We show that, if the number of trials per condition is larger than the number of neurons, there is an alternative, direct estimate of reliability which consistently leads to smaller errors and is much faster to compute. The superior performance of the direct estimator is evident both for simulated data and for neuronal population recordings from macaque primary visual cortex. Furthermore we propose generalizations of the direct estimator which measure changes in stimulus encoding across conditions and the impact of correlations on encoding and decoding, typically denoted by Ishuffle and Idiag respectively.http://europepmc.org/articles/PMC4451760?pdf=render
spellingShingle Ingmar Kanitscheider
Ruben Coen-Cagli
Adam Kohn
Alexandre Pouget
Measuring Fisher information accurately in correlated neural populations.
PLoS Computational Biology
title Measuring Fisher information accurately in correlated neural populations.
title_full Measuring Fisher information accurately in correlated neural populations.
title_fullStr Measuring Fisher information accurately in correlated neural populations.
title_full_unstemmed Measuring Fisher information accurately in correlated neural populations.
title_short Measuring Fisher information accurately in correlated neural populations.
title_sort measuring fisher information accurately in correlated neural populations
url http://europepmc.org/articles/PMC4451760?pdf=render
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