Critical size of neural population for reliable information transmission

0511899 - FGÚ 2020 RIV US eng J - Journal Article
Košťál, Lubomír - Kobayashi, R.
Critical size of neural population for reliable information transmission.
Physical Review E. Roč. 100, č. 5 (2019), č. článku 050401. ISSN 2470-0045. E-ISSN 2470-0053
R&D Projects: GA ČR(CZ) GA17-06943S
Institutional support: RVO:67985823
Keywords : information transmission * channel capacity * achievable rate * decoding error
OECD category: Applied mathematics
Impact factor: 2.296, year: 2019
Method of publishing: Limited access
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.050401

It is known that the probability of decoding error has a phase transition at information rate equal to the channel capacity. The corresponding thermodynamic limit requires infinite coding dimension, hence making the actual decoding practically impossible. In this Rapid Communication we analyze finite-size effects that occur in limited neural populations. We report that the achievable rate approaches the asymptote in a remarkably nonlinear manner with the population size. Qualitatively, our findings do not seem to depend on the details of the model.
Permanent Link: http://hdl.handle.net/11104/0302137