A hierarchy of phase transitions in optimal neuronal coding: from binary to M-ary discrete optimal codes

A. Nikitin; N.G. Stocks; R.P. Morse

doi:10.1117/12.724410

A hierarchy of phase transitions in optimal neuronal coding: from binary to M-ary discrete optimal codes

A. Nikitin, N.G. Stocks, R.P. Morse

Research output: Chapter in Book/Published conference output › Conference publication

Abstract

We have investigated how optimal coding for neural systems changes with the time available for decoding. Optimization was in terms of maximizing information transmission. We have estimated the parameters for Poisson neurons that optimize Shannon transinformation with the assumption of rate coding. We observed a hierarchy of phase transitions from binary coding, for small decoding times, toward discrete (M-ary) coding with two, three and more quantization levels for larger decoding times. We postulate that the presence of subpopulations with specific neural characteristics could be a signiture of an optimal population coding scheme and we use the mammalian auditory system as an example.

Original language	English
Title of host publication	Noise and fluctuations in biological, biophysical, and biomedical systems
Editors	Sergey M. Bezrukov
Publisher	SPIE
Number of pages	9
ISBN (Print)	0-8194-6739-1, 978-0-8194-6739-3
DOIs	https://doi.org/10.1117/12.724410
Publication status	Published - 2007
Event	Noise and fluctuations in biological, biophysical, and biomedical systems - Firenze, Italy Duration: 21 Jan 2007 → 23 Jan 2007

Publication series

Name	SPIE proceedings
Publisher	SPIE
Volume	6602
ISSN (Print)	0277-786X

Conference

Conference	Noise and fluctuations in biological, biophysical, and biomedical systems
Country/Territory	Italy
City	Firenze
Period	21/01/07 → 23/01/07

Bibliographical note

A. Nikitin ; N. G. Stocks and R. P. Morse "A hierarchy of phase transitions in optimal neuronal coding: from binary to M -ary discrete optimal codes", Proc. SPIE 6602, Noise and Fluctuations in Biological, Biophysical, and Biomedical Systems, 66020H (June 08, 2007);

Copyright 2007 Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.

http://dx.doi.org/10.1117/12.724410

Keywords

mutual information
phase transition
optimal neuronal coding

Access to Document

10.1117/12.724410

Hierarchy of phase transitions in optimal neuronal coding
A. Nikitin ; N. G. Stocks and R. P. Morse "A hierarchy of phase transitions in optimal neuronal coding: from binary to M -ary discrete optimal codes", Proc. SPIE 6602, Noise and Fluctuations in Biological, Biophysical, and Biomedical Systems, 66020H (June 08, 2007); Copyright 2007 Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. http://dx.doi.org/10.1117/12.724410
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http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=1304278

Cite this

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title = "A hierarchy of phase transitions in optimal neuronal coding: from binary to M-ary discrete optimal codes",

abstract = "We have investigated how optimal coding for neural systems changes with the time available for decoding. Optimization was in terms of maximizing information transmission. We have estimated the parameters for Poisson neurons that optimize Shannon transinformation with the assumption of rate coding. We observed a hierarchy of phase transitions from binary coding, for small decoding times, toward discrete (M-ary) coding with two, three and more quantization levels for larger decoding times. We postulate that the presence of subpopulations with specific neural characteristics could be a signiture of an optimal population coding scheme and we use the mammalian auditory system as an example.",

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doi = "10.1117/12.724410",

language = "English",

isbn = "0-8194-6739-1",

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Nikitin, A, Stocks, NG & Morse, RP 2007, A hierarchy of phase transitions in optimal neuronal coding: from binary to M-ary discrete optimal codes. in SM Bezrukov (ed.), Noise and fluctuations in biological, biophysical, and biomedical systems., 66020H, SPIE proceedings, vol. 6602, SPIE, Noise and fluctuations in biological, biophysical, and biomedical systems, Firenze, Italy, 21/01/07. https://doi.org/10.1117/12.724410

A hierarchy of phase transitions in optimal neuronal coding: from binary to M-ary discrete optimal codes. / Nikitin, A.; Stocks, N.G.; Morse, R.P.
Noise and fluctuations in biological, biophysical, and biomedical systems. ed. / Sergey M. Bezrukov. SPIE, 2007. 66020H (SPIE proceedings; Vol. 6602).

Research output: Chapter in Book/Published conference output › Conference publication

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A hierarchy of phase transitions in optimal neuronal coding: from binary to M-ary discrete optimal codes

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