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Neural systems process information in a dynamical regime between silence and chaotic dynamics. This has lead to the criticality hypothesis which suggests that neural systems reach such a state by self-organizing towards the critical point…

无序系统与神经网络 · 物理学 2021-03-10 Stefan Landmann , Lorenz Baumgarten , Stefan Bornholdt

We study in this paper the effect of an unique initial stimulation on random recurrent networks of leaky integrate and fire neurons. Indeed given a stochastic connectivity this so-called spontaneous mode exhibits various non trivial…

神经与进化计算 · 计算机科学 2007-05-23 H. Soula , G. Beslon , O. Mazet

We demonstrate, both analytically and numerically, that learning dynamics of neural networks is generically attracted towards a self-organized critical state. The effect can be modeled with quartic interactions between non-trainable…

统计力学 · 物理学 2021-07-09 Mikhail I. Katsnelson , Vitaly Vanchurin , Tom Westerhout

Large networks of spiking neurons show abrupt changes in their collective dynamics resembling phase transitions studied in statistical physics. An example of this phenomenon is the transition from irregular, noise-driven dynamics to…

适应与自组织系统 · 物理学 2008-11-25 Vicenç Gómez , Andreas Kaltenbrunner , Vicente López , Hilbert J. Kappen

The computational capabilities of a neural network are widely assumed to be determined by its static architecture. Here we challenge this view by establishing that a fixed neural structure can operate in fundamentally different…

神经与进化计算 · 计算机科学 2025-09-24 Xia Chen

We study a fundamental instability mechanism in nonlinear, nonlocal dynamical systems arising from the interaction of long-range memory and stochastic regime switching. The dynamics are governed by network-coupled, operator-valued Volterra…

统计理论 · 数学 2026-05-04 Mauricio Herrera-Marín

Recurrent neural networks with balanced excitation and inhibition exhibit irregular asynchronous dynamics, which is fundamental for cortical computations. Classical balance mechanisms require strong external inputs to sustain finite firing…

神经元与认知 · 定量生物学 2025-10-21 David Angulo-Garcia , Alessandro Torcini

Adaptation is used by biological sensory systems to respond to a wide range of environmental signals, by adapting their response properties to the statistics of the stimulus in order to maximize information transmission. We derive rules of…

神经元与认知 · 定量生物学 2021-04-14 Daniele Conti , Thierry Mora

The brain rapidly adapts to new contexts and learns from limited data, a coveted characteristic that artificial intelligence (AI) algorithms struggle to mimic. Inspired by the mechanical oscillatory rhythms of neural cells, we developed a…

机器学习 · 计算机科学 2026-03-17 Hoony Kang , Wolfgang Losert

In recent years, there have been many computational simulations of spontaneous neural dynamics. Here, we explore a model of spontaneous neural dynamics and allow it to control a virtual agent moving in a simple environment. This setup…

神经元与认知 · 定量生物学 2016-08-19 Peter J. Hellyer , Claudia Clopath , Angie A. Kehagia , Federico E. Turkheimer , Robert Leech

High-dimensional chaotic dynamics can emerge in a large random recurrent neural network when the synaptic gain crosses a threshold. Recent works showed that the kinetic energy of neural activity links the chaotic dynamics and the supporting…

统计力学 · 物理学 2026-02-17 Li-Ru Zhang , Haiping Huang

Studies of human decision-making demonstrate that environmental regularities, such as natural image statistics or intentionally nonuniform stimulus probabilities, can be exploited to improve efficiency (termed `efficient-coding').…

神经元与认知 · 定量生物学 2025-09-30 Holly Kular , Robert Kim , John Serences , Nuttida Rungratsameetaweemana

Neural activity exhibits a vast range of timescales that can be several fold larger than the membrane time constant of individual neurons. Two types of mechanisms have been proposed to explain this conundrum. One possibility is that large…

神经元与认知 · 定量生物学 2019-03-26 Manuel Beiran , Srdjan Ostojic

Similar activity patterns may arise from model neural networks with distinct coupling properties and individual unit dynamics. These similar patterns may, however, respond differently to parameter variations and, specifically, to tuning of…

神经元与认知 · 定量生物学 2023-06-16 Zhuojun Yu , Jonathan E. Rubin , Peter J. Thomas

Biological neural networks are characterized by their high degree of plasticity, a core property that enables the remarkable adaptability of natural organisms. Importantly, this ability affects both the synaptic strength and the topology of…

神经与进化计算 · 计算机科学 2024-06-17 Erwan Plantec , Joachin W. Pedersen , Milton L. Montero , Eleni Nisioti , Sebastian Risi

The dynamics of local cortical networks are irregular, but correlated. Dynamic excitatory--inhibitory balance is a plausible mechanism that generates such irregular activity, but it remains unclear how balance is achieved and maintained in…

神经元与认知 · 定量生物学 2020-04-28 Alan Eric Akil , Robert Rosenbaum , Krešimir Josić

We consider a fully-connected network of leaky integrate-and-fire neurons with spike-timing-dependent plasticity. The plasticity is controlled by a parameter representing the expected weight of a synapse between neurons that are firing…

神经元与认知 · 定量生物学 2011-09-23 Chun-Chung Chen , David Jasnow

Unidirectionally coupled dynamical system is studied by focusing on the input (or boundary) dependence. Due to convective instability, noise at an up-flow is spatially amplified to form an oscillation. The response, given by the down-flow…

chao-dyn · 物理学 2009-10-31 Koichi Fujimoto , Kunihiko Kaneko

Firing patterns in the central nervous system often exhibit strong temporal irregularity and heterogeneity in their time averaged response properties. Previous studies suggested that these properties are outcome of an intrinsic chaotic…

无序系统与神经网络 · 物理学 2015-11-25 Jonathan Kadmon , Haim Sompolinsky

Adaptive physical and biological systems continually process fluctuating information from their environments. When the environment is nonstationary, inference itself becomes a nonequilibrium process with thermodynamic cost. We analyse a…

统计力学 · 物理学 2026-03-23 Aditya Gupta