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Artificial neural networks built from two-state neurons are powerful computational substrates, whose computational ability is well understood by analogy with statistical mechanics. In this work, we introduce similar analogies in the context…

神经与进化计算 · 计算机科学 2010-09-29 Paul Merolla , Tristan Ursell , John Arthur

Diverse complex dynamical systems are known to exhibit abrupt regime shifts at bifurcation points of the saddle-node type. The dynamics of most of these systems, however, have a stochastic component resulting in noise driven regime shifts…

统计力学 · 物理学 2013-10-29 Sayantari Ghosh , Amit Kumar Pal , Indrani Bose

In a physical system, changing parameters such as temperature can induce a phase transition: an abrupt change from one state of matter to another. Analogous phenomena have recently been observed in large language models. Typically, the task…

机器学习 · 计算机科学 2024-05-28 Julian Arnold , Flemming Holtorf , Frank Schäfer , Niels Lörch

Effective control and prediction of dynamical systems often require appropriate handling of continuous-time and discrete, event-triggered processes. Stochastic hybrid systems (SHSs), common across engineering domains, provide a formalism…

The paper explores the capability of continuous-time recurrent neural networks to store and recall precisely timed scores of spike trains. We show (by numerical experiments) that this is indeed possible: within some range of parameters, any…

神经与进化计算 · 计算机科学 2025-07-29 Hugo Aguettaz , Hans-Andrea Loeliger

The effect of thermal fluctuations on spin-transfer switching has been studied for a broad range of time scales (sub-ns to seconds) in a model system, a uniaxial thin film nanomagnet. The nanomagnet is incorporated into a spin-valve…

介观与纳米尺度物理 · 物理学 2011-01-11 D. Bedau , H. Liu , J. Z. Sun , J. A. Katine , E. E. Fullerton , S. Mangin , A. D. Kent

A key question in brain sciences is how to identify time-evolving functional connectivity, such as that obtained from recordings of neuronal activity over time. We wish to explain the observed phenomena in terms of latent states which, in…

统计方法学 · 统计学 2026-05-14 Yiwei Gong , Susanna B. Mierau , Sinead A. Williamson

We have investigated noise-induced transition of atoms between double or triple phase-space attractors that are produced in the parametrically driven magneto-optical trap. The transition rates between two or three dynamic attractors,…

原子物理 · 物理学 2007-05-23 Kihwan Kim , Myungsun Heo , Ki-Hwan Lee , Hyoun-Jee Ha , Kiyoub Jang , Heung-Ryoul Noh , Wonho Jhe

We study a simple extended model of oscillator neural networks capable of storing sparsely coded phase patterns, in which information is encoded both in the mean firing rate and in the timing of spikes. Applying the methods of statistical…

无序系统与神经网络 · 物理学 2009-10-31 Masaki Nomura , Toshio Aoyagi

The dynamical organization in the presence of noise of a Boolean neural network with random connections is analyzed. For low levels of noise, the system reaches a stationary state in which the majority of its elements acquire the same…

无序系统与神经网络 · 物理学 2007-05-23 Cristian Huepe , Maximino Aldana

The main problem about replacing LTP as a memory mechanism has been to find other highly abstract, easily understandable principles for induced plasticity. In this paper we attempt to lay out such a basic mechanism, namely intrinsic…

神经元与认知 · 定量生物学 2014-05-13 Gabriele Scheler

We investigate a nonlinear dynamical system which ``remembers'' preselected values of a system parameter. The deterministic version of the system can encode many parameter values during a transient period, but in the limit of long times,…

凝聚态物理 · 物理学 2009-10-31 M. L. Povinelli , S. N. Coppersmith , L. P. Kadanoff , S. R. Nagel , S. C. Venkataramani

Spiking neural network is a type of artificial neural network in which neurons communicate between each other with spikes. Spikes are identical Boolean events characterized by the time of their arrival. A spiking neuron has internal…

神经与进化计算 · 计算机科学 2016-02-16 Oleg Y. Sinyavskiy

Distinguishing active from passive dynamics is a fundamental challenge in understanding the motion of living cells and other active matter systems. Here, we introduce a framework that combines physical modeling, analytical theory, and…

The deterministic dynamics of randomly connected neural networks are studied, where a state of binary neurons evolves according to a discreet-time synchronous update rule. We give a theoretical support that the overlap of systems' states…

统计力学 · 物理学 2015-03-10 Taro Toyoizumi , Haiping Huang

A quantum system in contact with a heat bath undergoes quantum transitions between energy levels upon absorption or emission of energy quanta by the bath. These transitions remain virtual unless the energy of the system is measured…

量子物理 · 物理学 2015-06-16 Michel Bauer , Denis Bernard

This work attempts to give new theoretical insights to the absence of intermediate stages in the evolution of language. In particular, it is developed an automata networks approach to a crucial question: how a population of language users…

计算与语言 · 计算机科学 2016-04-07 Javier Vera , Eric Goles

As a phenomenon in dynamical systems allowing autonomous switching between stable behaviors, chaotic itinerancy has gained interest in neurorobotics research. In this study, we draw a connection between this phenomenon and the predictive…

神经与进化计算 · 计算机科学 2021-06-17 Louis Annabi , Alexandre Pitti , Mathias Quoy

The brain can reproduce memories from partial data; this ability is critical for memory recall. The process of memory recall has been studied using auto-associative networks such as the Hopfield model. This kind of model reliably converges…

神经元与认知 · 定量生物学 2016-05-18 James P. Roach , Leonard M Sander , Michal R. Zochowski

We study the collective dynamics of a Leaky Integrate and Fire network in which precise relative phase relationship of spikes among neurons are stored, as attractors of the dynamics, and selectively replayed at differentctime scales. Using…

神经元与认知 · 定量生物学 2012-10-26 Silvia Scarpetta , Ferdinando Giacco