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A self-organising model is proposed to explain the criticality in cortical networks deduced from recent observations of neuronal avalanches. Prevailing understanding of self-organised criticality (SOC) dictates that conservation of energy…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Dranreb Earl Juanico

We study an influence network of voters subjected to correlated disordered external perturbations, and solve the dynamical equations exactly for fully connected networks. The model has a critical phase transition between disordered unimodal…

Physics and Society · Physics 2018-09-26 Marlon Ramos , Marcus A. M. de Aguiar , Dan Braha

The critical brain hypothesis posits that neural systems operate near a phase transition, optimizing the processing of information. While scale invariance and non-Gaussian dynamics--hallmarks of criticality--have been observed in brain…

Neurons and Cognition · Quantitative Biology 2025-09-16 Gustavo G. Cambrainha , Daniel M. Castro , Nivaldo A. P. de Vasconcelos , Pedro Carelli , Mauro Copelli

According to the criticality hypothesis, collective biological systems should operate in a special parameter region, close to so-called critical points, where the collective behavior undergoes a qualitative change between different…

Populations and Evolution · Quantitative Biology 2021-06-09 Pascal P. Klamser , Pawel Romanczuk

Brain activity is intrinsically a neural dynamic process constrained by anatomical space. This leads to significant variations in spatial distribution patterns and correlation patterns of neural activity across variable and heterogeneous…

Machine Learning · Computer Science 2026-03-10 Hongjie Jiang , Yifei Tang , Shuqiang Wang

Recurrent Neural Networks excel at predicting and generating complex high-dimensional temporal patterns. Due to their inherent nonlinear dynamics and memory, they can learn unbounded temporal dependencies from data. In a Machine Learning…

Machine Learning · Computer Science 2024-05-14 Guillaume Pourcel , Mirko Goldmann , Ingo Fischer , Miguel C. Soriano

We study information processing in populations of Boolean networks with evolving connectivity and systematically explore the interplay between the learning capability, robustness, the network topology, and the task complexity. We solve a…

Disordered Systems and Neural Networks · Physics 2015-03-19 Alireza Goudarzi , Christof Teuscher , Natali Gulbahce , Thimo Rohlf

Networks with only central force interactions are floppy when their average connectivity is below an isostatic threshold. Although such networks are mechanically unstable, they can become rigid when strained. It was recently shown that the…

Biological Physics · Physics 2016-10-19 A. Sharma , A. J. Licup , R. Rens , M. Vahabi , K. A. Jansen , G. H. Koenderink , F. C. MacKintosh

In this survey, we examine algorithms for conducting credit assignment in artificial neural networks that are inspired or motivated by neurobiology. These processes are unified under one possible taxonomy, which is constructed based on how…

Neural and Evolutionary Computing · Computer Science 2023-12-27 Alexander G. Ororbia

The understanding of neural activity patterns is fundamentally linked to an understanding of how the brain's network architecture shapes dynamical processes. Established approaches rely mostly on deviations of a given network from certain…

Neurons and Cognition · Quantitative Biology 2014-09-19 Marc-Thorsten Huett , Marcus Kaiser , Claus C. Hilgetag

We study an evolutionary algorithm that locally adapts thresholds and wiring in Random Threshold Networks, based on measurements of a dynamical order parameter. A control parameter $p$ determines the probability of threshold adaptations vs.…

Disordered Systems and Neural Networks · Physics 2009-11-13 Thimo Rohlf

This study delves into the plasticity of neural networks, offering empirical support for the notion that critical learning periods and warm-starting performance loss can be avoided through simple adjustments to learning hyperparameters. The…

Machine Learning · Computer Science 2025-10-14 Stanisław Pawlak

Spreading processes on networks are ubiquitous in both human-made and natural systems. Understanding their behavior is of broad interest; from the control of epidemics to understanding brain dynamics. While in some cases there exists a…

Statistical Mechanics · Physics 2021-06-23 Daniel J. Korchinski , Javier G. Orlandi , Seung-Woo Son , Jörn Davidsen

This article explores the design and experimentation of a neural network architecture capable of dynamically adjusting its internal structure based on the input data. The proposed model introduces a routing mechanism that allows each layer…

Machine Learning · Computer Science 2025-11-18 Dmytro Hospodarchuk

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…

Neural and Evolutionary Computing · Computer Science 2024-06-17 Erwan Plantec , Joachin W. Pedersen , Milton L. Montero , Eleni Nisioti , Sebastian Risi

Brain rhythms contribute to every aspect of brain function. Here, we study critical and resonance phenomena that precede the emergence of brain rhythms. Using an analytical approach and simulations of a cortical circuit model of neural…

Disordered Systems and Neural Networks · Physics 2015-06-12 A. V. Goltsev , M. A. Lopes , K. -E. Lee , J. F. F. Mendes

Self-adaptive dynamics occurs in many physical systems such as socio-economics, neuroscience, or biophysics. We formalize a self-adaptive modeling approach, where adaptation takes place within a set of strategies based on the history of the…

Adaptation and Self-Organizing Systems · Physics 2022-04-01 Konstantin Clauß , Christian Kuehn

Sensitivity to small changes in the environment is crucial for many real-world tasks, enabling living and artificial systems to make correct behavioral decisions. It has been shown that such sensitivity is maximized when a system operates…

Disordered Systems and Neural Networks · Physics 2026-02-11 Sahel Azizpour , Viola Priesemann , Johannes Zierenberg , Anna Levina

Self-organizing memristive networks are physical circuits that dynamically reconfigure their circuitry in response to external input signals. Their adaptive behavior arises from intrinsic neuro-synaptic dynamics combined with a…

Disordered Systems and Neural Networks · Physics 2026-04-28 Yinhao Xu , Georg A. Gottwald , Zdenka Kuncic

Evidence of critical dynamics has been recently found in both experiments and models of large scale brain dynamics. The understanding of the nature and features of such critical regime is hampered by the relatively small size of the…

Disordered Systems and Neural Networks · Physics 2019-12-04 Mahdi Zarepour , Juan I. Perotti , Orlando V. Billoni , Dante R. Chialvo , Sergio A. Cannas