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Information processing in complex systems is often found to be maximally efficient close to critical states associated with phase transitions. It is therefore conceivable that also neural information processing operates close to…

Neurons and Cognition · Quantitative Biology 2015-05-13 Christian Meisel , Thilo Gross

Much evidence seems to suggest cortex operates near a critical point, yet a single set of exponents defining its universality class has not been found. In fact, when critical exponents are estimated from data, they widely differ across…

Biological Physics · Physics 2021-05-11 Leandro Fosque , Rashid V. Williams-Garcia , John M. Beggs , Gerardo Ortiz

Dynamical criticality has been shown to enhance information processing in dynamical systems, and there is evidence for self-organized criticality in neural networks. A plausible mechanism for such self-organization is activity dependent…

Adaptation and Self-Organizing Systems · Physics 2012-09-18 Felix Droste , Anne-Ly Do , Thilo Gross

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

A large repertoire of spatiotemporal activity patterns in the brain is the basis for adaptive behaviour. Understanding the mechanism by which the brain's hundred billion neurons and hundred trillion synapses manage to produce such a range…

Neurons and Cognition · Quantitative Biology 2010-10-14 Dante R. Chialvo

Self-organized criticality (SOC) refers to the ability of complex systems to evolve towards a 2nd-order phase transition at which interactions between system components lead to scale-invariant events beneficial for system performance. For…

Neurons and Cognition · Quantitative Biology 2021-05-18 Dietmar Plenz , Tiago L. Ribeiro , Stephanie R. Miller , Patrick A. Kells , Ali Vakili , Elliott L. Capek

Neuronal avalanches are a novel mode of activity in neuronal networks, experimentally found in vitro and in vivo, and exhibit a robust critical behaviour: These avalanches are characterized by a power law distribution for the size and…

Neurons and Cognition · Quantitative Biology 2012-04-02 Lucilla de Arcangelis , Hans J. Herrmann

Many systems in nature are conjectured to exist at a critical point, including the brain and earthquake faults. The primary reason for this conjecture is that the distribution of clusters (avalanches of firing neurons in the brain or…

Statistical Mechanics · Physics 2023-03-22 W. Klein , Harvey Gould , Sakib Matin

Neural avalanches are collective firings of neurons that exhibit emergent scale-free behavior. Understanding the nature and distribution of these avalanches is an important element in understanding how the brain functions. We study a model…

Biological Physics · Physics 2021-02-10 Sakib Matin , Thomas Tenzin , W. Klein

In the rapid evolution of next-generation brain-inspired artificial intelligence and increasingly sophisticated electromagnetic environment, the most bionic characteristics and anti-interference performance of spiking neural networks show…

Neural and Evolutionary Computing · Computer Science 2023-09-11 Lyuyang Sima , Joseph Bucukovski , Erwan Carlson , Nicole L. Yien

Unlike digital computers, the brain exhibits spontaneous activity even during complete rest, despite the evolutionary pressure for energy efficiency. Inspired by the critical brain hypothesis, which proposes that the brain operates…

Neurons and Cognition · Quantitative Biology 2025-07-15 Narumitsu Ikeda , Dai Akita , Hirokazu Takahashi

Emulating the neural-like information processing dynamics of the brain provides a time and energy efficient approach for solving complex problems. While the majority of neuromorphic hardware currently developed rely on large arrays of…

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

Cortical networks exhibit synchronized activity which often occurs in spontaneous events in the form of spike avalanches. Since synchronization has been causally linked to central aspects of brain function such as selective signal…

Neurons and Cognition · Quantitative Biology 2022-02-08 Maik Schünemann , Udo Ernst , Marc Kesseböhmer

Neural network realizes multi-parameter optimization and control by simulating certain mechanisms of the human brain. It can be used in many fields such as signal processing, intelligent driving, optimal combination, vehicle abnormality…

Neural and Evolutionary Computing · Computer Science 2020-11-11 Yu Qi , Zhaolan Zheng

Neural networks are increasingly applied to support decision making in safety-critical applications (like autonomous cars, unmanned aerial vehicles and face recognition based authentication). While many impressive static verification…

Machine Learning · Computer Science 2021-05-07 Guoliang Dong , Jun Sun , Jingyi Wang , Xinyu Wang , Ting Dai

Scale-free behavior as well as oscillations are frequently observed in the activity of many natural systems. One important example is the cortical tissues of mammalian brain where both phenomena are simultaneously observed. Rhythmic…

Disordered Systems and Neural Networks · Physics 2018-08-29 S. Amin Moosavi , Afshin Montakhab , Alireza Valizadeh

Is the brain really operating at a critical point? We study the non-equilibrium properties of a neural network which models the dynamics of the neocortex and argue for optimal quasi-critical dynamics on the Widom line where the correlation…

Neurons and Cognition · Quantitative Biology 2015-06-19 Rashid V. Williams-Garcia , Mark Moore , John M. Beggs , Gerardo Ortiz

In a spiking neural network, is it enough for each neuron to spike at most once? In recent work, approximation bounds for spiking neural networks have been derived, quantifying how well they can fit target functions. However, these results…

Neural and Evolutionary Computing · Computer Science 2026-03-17 Dominik Dold , Philipp Christian Petersen

Many experimental results, both in-vivo and in-vitro, support the idea that the brain cortex operates near a critical point, and at the same time works as a reservoir of precise spatio-temporal patterns. However the mechanism at the basis…

Neurons and Cognition · Quantitative Biology 2019-06-14 S. Scarpetta , I. Apicella , L. Minati , A. de Candia