Nonlinear dynamics and machine learning of recurrent spiking neural networks

O.V. Maslennikov^†, M.M. Pugavko, D.S. Shchapin, V.I. Nekorkin
Federal Research Center A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation

Major achievements in designing and analyzing recurrent spiking neural networks intended for modeling functional brain networks are reviewed. Key terms and definitions employed in machine learning are introduced. The main approaches to the development and exploration of spiking and rate neural networks trained to perform specific cognitive functions are presented. State-of-the-art neuromorphic hardware systems simulating information processing by the brain are described. Concepts of nonlinear dynamics are discussed, which enable identification of the mechanisms used by neural networks to perform target tasks.

Keywords: artificial neural networks, nonlinear dynamics, machine learning, spiking neurons, modeling of cognitive functions
PACS: 07.05.Mh, 84.35.+i, 87.19.L− (all)
DOI: 10.3367/UFNe.2021.08.039042
URL: https://ufn.ru/en/articles/2022/10/b/
Web of Science

001112536300002
Scopus

2-s2.0-85182910380
ADS NASA

2022PhyU...65.1020M
Citation: Maslennikov O V, Pugavko M M, Shchapin D S, Nekorkin V I "Nonlinear dynamics and machine learning of recurrent spiking neural networks" Phys. Usp. 65 1020–1038 (2022)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 1st, June 2021, revised: 13th, August 2021, accepted: 13th, August 2021

Оригинал: Масленников О В, Пугавко М М, Щапин Д С, Некоркин В И «Нелинейная динамика и машинное обучение рекуррентных спайковых нейронных сетей» УФН 192 1089–1109 (2022); DOI: 10.3367/UFNr.2021.08.039042

References (162) Cited by (4) Similar articles (20) ↓

A.N. Pavlov, A.E. Hramov et al “Wavelet analysis in neurodynamics” 55 845–875 (2012)
A.N. Pisarchik, A.E. Hramov “Stochastic processes in the brain's neural network and their impact on perception and decision-making” 66 1224–1247 (2023)
M.I. Rabinovich, M.K. Muezzinoglu “Nonlinear dynamics of the brain: emotion and cognition” 53 357–372 (2010)
O.V. Maslennikov, V.I. Nekorkin “Adaptive dynamical networks” 60 694–704 (2017)
V.V. Klinshov, V.I. Nekorkin “Synchronization of delay-coupled oscillator networks” 56 1217–1229 (2013)
A.E. Hramov, N.S. Frolov et al “Functional networks of the brain: from connectivity restoration to dynamic integration” 64 584–616 (2021)
G.N. Borisyuk, R.M. Borisyuk et al “Models of neural dynamics in brain information processing — the developments of ’the decade’” 45 1073–1095 (2002)
M.A. Tsyganov, V.N. Biktashev et al “Waves in systems with cross-diffusion as a new class of nonlinear waves” 50 263–286 (2007)
A.I. Musorin, A.S. Shorokhov et al “Photonics approaches to the implementation of neuromorphic computing” 66 1211–1223 (2023)
Yu.M. Romanovsky, A.N. Tikhonov “Molecular energy transducers of the living cell. Proton ATP synthase: a rotating molecular motor” 53 893–914 (2010)
L.V. Doronina-Amitonova, I.V. Fedotov et al “Neurophotonics: optical methods to study and control the brain” 58 345–364 (2015)
Yu.M. Romanovsky, V.P. Trifonenkov “Energetics and stochastic dynamics of intraneuron transport” 59 121–140 (2016)
G.R. Ivanitskii “The self-organizing dynamic stability of far-from-equilibrium biological systems” 60 705–730 (2017)
N.D. Kondratyuk, V.V. Pisarev “Theoretical and computational approaches to predicting the viscosity of liquids” 66 410–432 (2023)
P.N. Zakharov, V.K. Arzhanik et al “Microtubule: a dynamically unstable stochastic phase switching polymer” 59 773–786 (2016)
A.A. Koronovskii, O.I. Moskalenko, A.E. Hramov “On the use of chaotic synchronization for secure communication” 52 1213–1238 (2009)
A.E. Dubinov, I.Yu. Kornilova, V.D. Selemir “Collective ion acceleration in systems with a virtual cathode” 45 1109–1129 (2002)
V.S. Anishchenko, A.B. Neiman et al “Stochastic resonance: noise-enhanced order” 42 7–36 (1999)
V.G. Boiko, Kh.I. Mogel’ et al “Features of metastable states in liquid-vapor phase transitions” 34 (2) 141–159 (1991)
B.S. Kerner, V.V. Osipov “Self-organization in active distributed media: scenarios for the spontaneous formation and evolution of dissipative structures” 33 (9) 679–719 (1990)

The list is formed automatically.