Thermodynamics for a network of neurons: Signatures of criticality

作者: Dario Amodei , Gasper Tkacik , Michael J. Berry , Thierry Mora , William Bialek

DOI:

关键词: Artificial intelligenceStatistical physicsNeuronThermodynamic limitCorrelationNumerosity adaptation effectRandom neural networkCriticalityArtificial neural networkCritical point (thermodynamics)Mathematics

摘要: The activity of a neural network is defined by patterns spiking and silence from the individual neurons. Because spikes are (relatively) sparse, with increasing numbers less probable, but more number possible increases. This tradeoff between probability numerosity mathematically equivalent to relationship entropy energy in statistical physics. We construct this for populations up N=160 neurons small patch vertebrate retina, using combination direct model-based analyses experiments on response naturalistic movies. see signs thermodynamic limit, where per neuron approaches smooth function as N form corresponds distribution being poised near an unusual kind critical point. Networks or correlation among would not reach state. suggest further tests criticality, give brief discussion its functional significance.

参考文章(50)
Gasper Tkacik, Elad Schneidman, Michael J Berry, William Bialek, Ising models for networks of real neurons arXiv: Neurons and Cognition. ,(2006)
Greg J. Stephens, William Bialek, Statistical mechanics of letters in words. Physical Review E. ,vol. 81, pp. 066119- 066119 ,(2010) , 10.1103/PHYSREVE.81.066119
Gasper Tkacik, Elad Schneidman, Michael J. Berry, William Bialek, Spin glass models for a network of real neurons arXiv: Neurons and Cognition. ,(2009)
Rama Ranganathan, William Bialek, Rediscovering the power of pairwise interactions arXiv: Quantitative Methods. ,(2007)
Greg J. Stephens, Thierry Mora, Gašper Tkačik, William Bialek, Statistical thermodynamics of natural images. Physical Review Letters. ,vol. 110, pp. 018701- ,(2013) , 10.1103/PHYSREVLETT.110.018701
Daniel J. Amit, Modeling Brain Function Cambridge University Press. ,(1989) , 10.1017/CBO9780511623257
Gašper Tkačik, Olivier Marre, Dario Amodei, Elad Schneidman, William Bialek, Michael J. Berry, Searching for Collective Behavior in a Large Network of Sensory Neurons PLoS Computational Biology. ,vol. 10, pp. e1003408- ,(2014) , 10.1371/JOURNAL.PCBI.1003408
Flavio Seno, Antonio Trovato, Jayanth R. Banavar, Amos Maritan, Maximum entropy approach for deducing amino Acid interactions in proteins. Physical Review Letters. ,vol. 100, pp. 078102- 078102 ,(2008) , 10.1103/PHYSREVLETT.100.078102
J. I. Sulkowska, F. Morcos, M. Weigt, T. Hwa, J. N. Onuchic, Genomics-aided structure prediction Proceedings of the National Academy of Sciences of the United States of America. ,vol. 109, pp. 10340- 10345 ,(2012) , 10.1073/PNAS.1207864109