---
_id: '3732'
abstract:
- lang: eng
text: 'Ising models with pairwise interactions are the least structured, or maximum-entropy,
probability distributions that exactly reproduce measured pairwise correlations
between spins. Here we use this equivalence to construct Ising models that describe
the correlated spiking activity of populations of 40 neurons in the salamander
retina responding to natural movies. We show that pairwise interactions between
neurons account for observed higher-order correlations, and that for groups of
10 or more neurons pairwise interactions can no longer be regarded as small perturbations
in an independent system. We then construct network ensembles that generalize
the network instances observed in the experiment, and study their thermodynamic
behavior and coding capacity. Based on this construction, we can also create synthetic
networks of 120 neurons, and find that with increasing size the networks operate
closer to a critical point and start exhibiting collective behaviors reminiscent
of spin glasses. We examine closely two such behaviors that could be relevant
for neural code: tuning of the network to the critical point to maximize the ability
to encode diverse stimuli, and using the metastable states of the Ising Hamiltonian
as neural code words.'
author:
- first_name: Gasper
full_name: Gasper Tkacik
id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
last_name: Tkacik
orcid: 0000-0002-6699-1455
- first_name: Elad
full_name: Schneidman, Elad
last_name: Schneidman
- first_name: Michael
full_name: Berry, Michael J
last_name: Berry
- first_name: William
full_name: Bialek, William S
last_name: Bialek
citation:
ama: Tkačik G, Schneidman E, Berry M, Bialek W. Spin glass models for a network
of real neurons. ArXiv. 2009;q-NC.
apa: Tkačik, G., Schneidman, E., Berry, M., & Bialek, W. (2009). Spin glass
models for a network of real neurons. ArXiv. ArXiv.
chicago: Tkačik, Gašper, Elad Schneidman, Michael Berry, and William Bialek. “Spin
Glass Models for a Network of Real Neurons.” ArXiv. ArXiv, 2009.
ieee: G. Tkačik, E. Schneidman, M. Berry, and W. Bialek, “Spin glass models for
a network of real neurons,” ArXiv, vol. q-NC. ArXiv, 2009.
ista: Tkačik G, Schneidman E, Berry M, Bialek W. 2009. Spin glass models for a network
of real neurons. ArXiv, q-NC, .
mla: Tkačik, Gašper, et al. “Spin Glass Models for a Network of Real Neurons.” ArXiv,
vol. q-NC, ArXiv, 2009.
short: G. Tkačik, E. Schneidman, M. Berry, W. Bialek, ArXiv q-NC (2009).
date_created: 2018-12-11T12:04:52Z
date_published: 2009-01-01T00:00:00Z
date_updated: 2021-01-12T07:51:48Z
day: '01'
extern: 1
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0912.5409v1
month: '01'
oa: 1
publication: ArXiv
publication_status: published
publisher: ArXiv
publist_id: '2496'
quality_controlled: 0
status: public
title: Spin glass models for a network of real neurons
type: preprint
volume: q-bio.NC
year: '2009'
...