---
_id: '2850'
abstract:
- lang: eng
text: "Recent work emphasizes that the maximum entropy principle provides a bridge
between statistical mechanics models for collective behavior in neural networks
and experiments on networks of real neurons. Most of this work has focused on
capturing the measured correlations among pairs of neurons. Here we suggest an
alternative, constructing models that are consistent with the distribution of
global network activity, i.e. the probability that K out of N cells in the network
generate action potentials in the same small time bin. The inverse problem that
we need to solve in constructing the model is analytically tractable, and provides
a natural 'thermodynamics' for the network in the limit of large N. We analyze
the responses of neurons in a small patch of the retina to naturalistic stimuli,
and find that the implied thermodynamics is very close to an unusual critical
point, in which the entropy (in proper units) is exactly equal to the energy.
© 2013 IOP Publishing Ltd and SISSA Medialab srl.\r\n"
acknowledgement: "his work was supported in part by NSF Grants IIS-0613435 and PHY-0957573,
by NIH Grants R01 EY14196 and P50 GM071508, by the Fannie and John Hertz Foundation,
by the Human Frontiers Science Program, by the Swartz Foundation, and by the WM
Keck Foundation.\r\n"
article_number: P03011
article_processing_charge: No
article_type: original
author:
- first_name: Gasper
full_name: Tkacik, Gasper
id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
last_name: Tkacik
orcid: 0000-0002-6699-1455
- first_name: Olivier
full_name: Marre, Olivier
last_name: Marre
- first_name: Thierry
full_name: Mora, Thierry
last_name: Mora
- first_name: Dario
full_name: Amodei, Dario
last_name: Amodei
- first_name: Michael
full_name: Berry, Michael
last_name: Berry
- first_name: William
full_name: Bialek, William
last_name: Bialek
citation:
ama: Tkačik G, Marre O, Mora T, Amodei D, Berry M, Bialek W. The simplest maximum
entropy model for collective behavior in a neural network. *Journal of Statistical
Mechanics Theory and Experiment*. 2013;2013(3). doi:10.1088/1742-5468/2013/03/P03011
apa: Tkačik, G., Marre, O., Mora, T., Amodei, D., Berry, M., & Bialek, W. (2013).
The simplest maximum entropy model for collective behavior in a neural network.
*Journal of Statistical Mechanics Theory and Experiment*. IOP Publishing
Ltd. https://doi.org/10.1088/1742-5468/2013/03/P03011
chicago: Tkačik, Gašper, Olivier Marre, Thierry Mora, Dario Amodei, Michael Berry,
and William Bialek. “The Simplest Maximum Entropy Model for Collective Behavior
in a Neural Network.” *Journal of Statistical Mechanics Theory and Experiment*.
IOP Publishing Ltd., 2013. https://doi.org/10.1088/1742-5468/2013/03/P03011.
ieee: G. Tkačik, O. Marre, T. Mora, D. Amodei, M. Berry, and W. Bialek, “The simplest
maximum entropy model for collective behavior in a neural network,” *Journal
of Statistical Mechanics Theory and Experiment*, vol. 2013, no. 3. IOP Publishing
Ltd., 2013.
ista: Tkačik G, Marre O, Mora T, Amodei D, Berry M, Bialek W. 2013. The simplest
maximum entropy model for collective behavior in a neural network. Journal of
Statistical Mechanics Theory and Experiment. 2013(3), P03011.
mla: Tkačik, Gašper, et al. “The Simplest Maximum Entropy Model for Collective Behavior
in a Neural Network.” *Journal of Statistical Mechanics Theory and Experiment*,
vol. 2013, no. 3, P03011, IOP Publishing Ltd., 2013, doi:10.1088/1742-5468/2013/03/P03011.
short: G. Tkačik, O. Marre, T. Mora, D. Amodei, M. Berry, W. Bialek, Journal of
Statistical Mechanics Theory and Experiment 2013 (2013).
date_created: 2018-12-11T11:59:55Z
date_published: 2013-03-12T00:00:00Z
date_updated: 2021-01-12T07:00:14Z
day: '12'
department:
- _id: GaTk
doi: 10.1088/1742-5468/2013/03/P03011
external_id:
arxiv:
- '1207.6319'
intvolume: ' 2013'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1207.6319
month: '03'
oa: 1
oa_version: Preprint
publication: Journal of Statistical Mechanics Theory and Experiment
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '3942'
quality_controlled: '1'
scopus_import: 1
status: public
title: The simplest maximum entropy model for collective behavior in a neural network
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2013
year: '2013'
...