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Thermal noise in a cellular automaton refers to a random perturbation to its function which eventually leads this automaton to an equilibrium state controlled by a temperature parameter. We study the 1-dimensional majority-3 cellular…

统计力学 · 物理学 2015-06-17 Rémi Lemoy , Alexander Mozeika , Shinnosuke Seki

We previously reported the chaos induced by the frustration of interaction in a non-monotonic sequential associative memory model, and showed the chaotic behaviors at absolute zero. We have now analyzed bifurcation in a stochastic system,…

无序系统与神经网络 · 物理学 2007-05-23 Masaki Kawamura , Ryuji Tokunaga , Masato Okada

We study a neural network model of interacting stochastic discrete two--state cellular automata on a regular lattice. The system is externally tuned to a critical point which varies with the degree of stochasticity (or the effective…

统计力学 · 物理学 2015-06-12 Kaustubh Manchanda , Avinash Chand Yadav , Ramakrishna Ramaswamy

In this paper we present a novel approach to automatically infer parameters of spiking neural networks. Neurons are modelled as timed automata waiting for inputs on a number of different channels (synapses), for a given amount of time (the…

神经元与认知 · 定量生物学 2018-08-07 Elisabetta De Maria , Cinzia Di Giusto , Laetitia Laversa

We report a detailed study of neuromorphic switching behaviour in inherently complex percolating networks of self-assembled metal nanoparticles. We show that variation of the strength and duration of the electric field applied to this…

无序系统与神经网络 · 物理学 2019-03-06 S. K. Bose , S. Shirai , J. B. Mallinson , S. A. Brown

Under normal operations, memristive devices undergo variability in time and space and have internal dynamics. Interplay of memory and stochastic signal processing in memristive devices makes them candidates for performing bio-inspired tasks…

新兴技术 · 计算机科学 2024-08-01 P. F. Gora , Ewa Gudowska-Nowak

We address the problem of identifying functional interactions among stochastic neurons with variable-length memory from their spiking activity. The neuronal network is modeled by a stochastic system of interacting point processes with…

应用统计 · 统计学 2025-07-01 Ricardo F. Ferreira , Matheus E. Pacola , Vitor G. Schiavone , Rodrigo F. O. Pena

We propose a new model based on the Ising model with the aim to study synaptic plasticity phenomena in neural networks. It is today well established in biology that the synapses or connections between certain types of neurons are…

无序系统与神经网络 · 物理学 2016-07-22 Eugene Pechersky , Guillem Via , Anatoly Yambartsev

Stochastic phenomena in which the noise amplitude is proportional to the fluctuating variable itself, usually called {\it multiplicative noise}, appear ubiquitously in physics, biology, economy and social sciences. The properties of…

凝聚态物理 · 物理学 2007-05-23 Miguel A. Munoz

The seemingly stochastic transient dynamics of neocortical circuits observed in vivo have been hypothesized to represent a signature of ongoing stochastic inference. In vitro neurons, on the other hand, exhibit a highly deterministic…

神经元与认知 · 定量生物学 2017-03-14 Mihai A. Petrovici , Johannes Bill , Ilja Bytschok , Johannes Schemmel , Karlheinz Meier

We study the stable phases of an attractor neural network model, with binary units, for hippocampal place cells encoding 1D or 2D spatial maps or environments. Using statistical mechanics tools we show that, below critical values for the…

统计力学 · 物理学 2013-06-26 Rémi Monasson , Sophie Rosay

We study an excitable active rotator with slowly adapting nonlinear feedback and noise. Depending on the adaptation and the noise level, this system may display noise-induced spiking, noise-perturbed oscillations, or stochastic busting. We…

适应与自组织系统 · 物理学 2020-08-26 Igor Franović , Serhiy Yanchuk , Sebastian Eydam , Iva Bačić , Matthias Wolfrum

We study the dynamics of coupled oscillator networks with higher-order interactions and their ability to store information. In particular, the fixed points of these oscillator systems consist of two clusters of oscillators that become…

适应与自组织系统 · 物理学 2021-08-03 Per Sebastian Skardal , Alex Arenas

The discovery that memory of particle configurations and plastic events can be stored in amorphous solids subject to oscillatory shear has spurred research into methods for storing and retrieving information from these materials. However,…

软凝聚态物质 · 物理学 2023-11-03 Debjyoti Majumdar , Ido Regev

A system with multiple transient memories can remember a set of inputs but subsequently forgets almost all of them, even as they are continually applied. If noise is added, the system can store all memories indefinitely. The phenomenon has…

软凝聚态物质 · 物理学 2014-08-07 Joseph D. Paulsen , Nathan C. Keim , Sidney R. Nagel

We analyze the effects of noise on the traveling wave dynamics in neural fields. The noise influences the dynamics on two scales: first, it causes fluctuations in the wave profile, and second, it causes a random shift in the phase of the…

概率论 · 数学 2015-08-06 Eva Lang

In this paper, we study the phase transition behavior emerging from the interactions among multiple agents in the presence of noise. We propose a simple discrete-time model in which a group of non-mobile agents form either a fixed connected…

最优化与控制 · 数学 2008-10-21 Jialing Liu , Vikas Yadav , Hullas Sehgal , Joshua M. Olson , Haifeng Liu , Nicola Elia

We theoretically describe how weak signals may be efficiently transmitted throughout more than one frequency range in noisy excitable media by kind of stochastic multiresonance. This serves us here to reinterpret recent experiments in…

数据分析、统计与概率 · 物理学 2015-05-27 J. J. Torres , J. Marro , J. F. Mejias

We examine the effects of stochastic input currents on the firing behavior of two excitable neurons coupled with fast excitatory synapses. In such cells (models), typified by the quadratic integrate and fire model, mutual synaptic coupling…

神经元与认知 · 定量生物学 2007-07-31 Boris S. Gutkin , Juergen Jost , Henry C. Tuckwell

The inclusion of a macroscopic adaptive threshold is studied for the retrieval dynamics of both layered feedforward and fully connected neural network models with synaptic noise. These two types of architectures require a different method…

无序系统与神经网络 · 物理学 2007-08-03 D. Bolle , R. Heylen