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We study emerging phenomena in binary neural networks where, with a probability c synaptic intensities are chosen according with a Hebbian prescription, and with probability (1-c) there is an extra random contribution to synaptic weights.…

无序系统与神经网络 · 物理学 2016-08-25 Ibon Recio , Joaquín J. Torres

As humans learn new skills and apply their existing knowledge while maintaining previously learned information, "continual learning" in machine learning aims to incorporate new data while retaining and utilizing past knowledge. However,…

机器人学 · 计算机科学 2025-07-29 Hanne Say , Suzan Ece Ada , Emre Ugur , Minoru Asada , Erhan Oztop

We address the questions of identifying pairs of interacting neurons from the observation of their spiking activity. The neuronal network is modeled by a system of interacting point processes with memory of variable length. The influence of…

统计理论 · 数学 2021-06-22 Emilio De Santis , Antonio Galves , Giovanna Nappo , Mauro Piccioni

Many natural systems exhibit dynamics characterized by alternating phases or recurring sets of states. Describing the fluctuations of such systems over stochastic trajectories is necessary across diverse fields, from biological motors to…

统计力学 · 物理学 2025-12-17 Guilherme Fiusa , Pedro E. Harunari , Abhaya S. Hegde , Gabriel T. Landi

We study an information engine operating in an active bath, where a Brownian particle confined in a harmonic trap undergoes feedback-driven displacement cycles. Unlike thermal environments, active baths exhibit temporally correlated…

统计力学 · 物理学 2025-11-27 Sehoon Bahng , Jae Sung Lee , Cheol-Min Ghim

Stochastic network-dynamics are typically assumed to be memory-less. Involving prolonged dwells interrupted by instantaneous transitions between nodes such Markov networks stand as a coarse-graining paradigm for chemical reactions, gene…

统计力学 · 物理学 2021-12-15 David Hartich , Aljaž Godec

The highly irregular spiking activity of cortical neurons and behavioral variability suggest that the brain could operate in a fundamentally probabilistic way. Mimicking how the brain implements and learns probabilistic computation could be…

神经与进化计算 · 计算机科学 2024-04-23 Yang Qi , Zhichao Zhu , Yiming Wei , Lu Cao , Zhigang Wang , Jie Zhang , Wenlian Lu , Jianfeng Feng

When an action potential is transmitted to a postsynaptic neuron, a small change in the postsynaptic neuron's membrane potential occurs. These small changes, known as a postsynaptic potentials (PSPs), are highly variable, and current models…

神经元与认知 · 定量生物学 2015-07-14 Laurence Aitchison , Peter E. Latham

We consider binary infinite order stochastic chains perturbed by a random noise. This means that at each time step, the value assumed by the chain can be randomly and independently flipped with a small fixed probability. We show that the…

概率论 · 数学 2007-07-20 Pierre Collet , Antonio Galves , Florencia G. Leonardi

Memristive devices are promising elements for energy-efficient neuromorphic computing and future artificial intelligence systems. For diffusive memristors, the device state switching occurs because of the sequential formation and…

Fluctuations in biochemical networks, e.g., in a living cell, have a complex origin that precludes a description of such systems in terms of bipartite or multipartite processes, as is usually done in the framework of stochastic and/or…

统计力学 · 物理学 2020-01-29 R. Chétrite , M. L. Rosinberg , T. Sagawa , G. Tarjus

Synaptic strength can be seen as probability to propagate impulse, and according to synaptic plasticity, function could exist from propagation activity to synaptic strength. If the function satisfies constraints such as continuity and…

神经元与认知 · 定量生物学 2019-04-25 Sizhong Lan

Competitive dynamics are thought to occur in many processes of learning involving synaptic plasticity. Here we show, in a game theory-inspired model of synaptic interactions, that the competition between synapses in their weak and strong…

无序系统与神经网络 · 物理学 2015-05-28 Gaurang Mahajan , Anita Mehta

Transitions between multiple stable states of nonlinear systems are ubiquitous in physics, chemistry, and beyond. Two types of behaviors are usually seen as mutually exclusive: unpredictable noise-induced transitions and predictable…

统计力学 · 物理学 2017-10-03 Corentin Herbert , Freddy Bouchet

Stochastic transitions between discrete microscopic states play an important role in many physical and biological systems. Often, these transitions lead to fluctuations on a macroscopic scale. A classic example from neuroscience is the…

统计力学 · 物理学 2024-02-20 Lukas Ramlow , Benjamin Lindner

This work proposes a switched model reference adaptive control (S-MRAC) architecture for a multi-input multi-output (MIMO) switched linear system with memory for enhanced learning. A salient feature of the proposed method that separates it…

系统与控制 · 电气工程与系统科学 2023-01-31 Pritesh Patel , Sayan Basu Roy , Shubhendu Bhasin

The transient behavior of an ecosystem with N random interacting species in the presence of a multiplicative noise is analyzed. The multiplicative noise mimics the interaction with the environment. We investigate different asymptotic…

统计力学 · 物理学 2009-11-10 B. Spagnolo , D. Valenti , A. Fiasconaro

"Noise-induced volatility" refers to a phenomenon of increased level of fluctuations in the collective dynamics of bistable units in the presence of a rapidly varying external signal, and intermediate noise levels. The archetypical…

统计力学 · 物理学 2012-02-01 Georges Harras , Claudio J. Tessone , Didier Sornette

Following the long-lived qualitative-dynamics tradition of explaining behavior in complex systems via the architecture of their attractors and basins, we investigate the patterns of switching between qualitatively distinct trajectories in a…

适应与自组织系统 · 物理学 2016-09-02 Jeffrey Emenheiser , Airlie Chapman , Márton Pósfai , James P. Crutchfield , Mehran Mesbahi , Raissa M. D'Souza

We study a neural network model in which both neurons and synaptic interactions evolve in time simultaneously. The time evolution of synaptic interactions is described by a Langevin equation including a Hebbian learning term, and a bias…

生物物理 · 物理学 2009-03-12 T. Uezu , K. Abe , S. Miyoshi , M. Okada