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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…

Statistical Mechanics · Physics 2021-07-09 Mikhail I. Katsnelson , Vitaly Vanchurin , Tom Westerhout

Critical dynamics are assumed to be an attractive mode for normal brain functioning as information processing and computational capabilities are found to be optimized there. Recent experimental observations of neuronal activity patterns…

Neurons and Cognition · Quantitative Biology 2015-05-28 Christian Meisel , Alexander Storch , Susanne Hallmeyer-Elgner , Ed Bullmore , Thilo Gross

It has long been hypothesized that operating close to the critical state is beneficial for natural, artificial and their evolutionary systems. We put this hypothesis to test in a system of evolving foraging agents controlled by neural…

Neural and Evolutionary Computing · Computer Science 2023-11-28 Sina Khajehabdollahi , Jan Prosi , Emmanouil Giannakakis , Georg Martius , Anna Levina

The brain forms and stores distributed representations from sparse external input that compete for neuronal resources with already stored memory traces. It is unclear what dynamical properties of neural systems allow formation and…

Neurons and Cognition · Quantitative Biology 2018-02-08 Quinton M Skilling , Daniel Maruyama , Nicolette Ognjanovski , Sara J Aton , Michal Zochowski

We show that a coalescence equation exhibits a variety of critical behaviors, depending on the initial condition. This equation was introduced a few years ago to understand a toy model {studied by Derrida and Retaux to mimic} the depinning…

Mathematical Physics · Physics 2020-06-24 Xinxing Chen , Victor Dagard , Bernard Derrida , Zhan Shi

Cascading large-amplitude bursts in neural activity, termed avalanches, are thought to provide insight into the complex spatially distributed interactions in neural systems. In human neuroimaging, for example, avalanches occurring during…

Neurons and Cognition · Quantitative Biology 2021-07-28 Kanika Bansal , Javier O. Garcia , Nina Lauharatanahirun , Sarah F. Muldoon , Paul Sajda , Jean M. Vettel

Consciousness spans macroscopic experience and microscopic neuronal activity, yet linking these scales remains challenging. Prevailing theories, such as Integrated Information Theory, focus on a single scale, overlooking how causal power…

Neurons and Cognition · Quantitative Biology 2025-09-16 Zhipeng Wang , Yingqi Rong , Kaiwei Liu , Mingzhe Yang , Jiang Zhang , Jing He

Understanding how the brain learns to compute functions reliably, efficiently and robustly with noisy spiking activity is a fundamental challenge in neuroscience. Most sensory and motor tasks can be described as dynamical systems and could…

Neurons and Cognition · Quantitative Biology 2017-05-24 Sophie Denève , Alireza Alemi , Ralph Bourdoukan

Observations of power laws in neural activity data have raised the intriguing notion that brains may operate in a critical state. One example of this critical state is "avalanche criticality," which has been observed in various systems,…

Neurons and Cognition · Quantitative Biology 2023-10-16 Mia C. Morrell , Ilya Nemenman , Audrey J. Sederberg

Spontaneous neuronal activity is a ubiquitous feature of cortex. Its spatiotemporal organization reflects past input and modulates future network output. Here we study whether a particular type of spontaneous activity is generated by a…

Neurons and Cognition · Quantitative Biology 2009-11-09 Woodrow L. Shew , Hongdian Yang , Thomas Petermann , Rajarshi Roy , Dietmar Plenz

Avalanches of electrochemical activity in brain networks have been empirically reported to obey scale-invariant behavior --characterized by power-law distributions up to some upper cut-off-- both in vitro and in vivo. Elucidating whether…

Neurons and Cognition · Quantitative Biology 2018-01-03 Matteo Martinello , Jorge Hidalgo , Serena di Santo , Amos Maritan , Dietmar Plenz , Miguel A. Muñoz

Stimulus from the environment that guides behavior and informs decisions is encoded in the firing rates of neural populations. Each neuron in the populations, however, does not spike independently: spike events are correlated from cell to…

Neurons and Cognition · Quantitative Biology 2012-07-24 Nicholas Cain , Eric Shea-Brown

Cortical neurons exhibit a hierarchy of timescales across brain regions in response to input stimuli, which is thought to be crucial for information processing of different temporal scales. Modeling studies suggest that both intra-regional…

Neurons and Cognition · Quantitative Biology 2024-12-24 Yang Qi , Jiexiang Wang , Weiyang Ding , Gustavo Deco , Viktor Jirsa , Wenlian Lu , Jianfeng Feng

Converging research suggests that the resting brain operates at the cusp of dynamic instability signified by scale-free temporal correlations. We asked if the scaling properties of these correlations differ between amplitude and phase…

Neurons and Cognition · Quantitative Biology 2015-12-09 Robert Ton , Gustavo Deco , Morten L Kringelbach , Mark Woolrich , Andreas Daffertshofer

Neural systems process information across a broad range of intrinsic timescales, both within and across cortical areas. While such diversity is a hallmark of biological networks, its computational role in nonlinear information processing…

Neurons and Cognition · Quantitative Biology 2025-06-10 Tomoki Kurikawa

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

Neural systems face the challenge of maintaining reliable representations amid variations from plasticity and spontaneous activity. In particular, the spontaneous dynamics in neuronal circuit is known to operate near a highly variable…

Neurons and Cognition · Quantitative Biology 2026-03-24 Zhuda Yang , Junhao Liang , Wing Ho Yung , Changsong Zhou

Humans and animals exhibit a range of interesting behaviors in dynamic environments, and it is unclear how our brains actively reformat this dense sensory information to enable these behaviors. Experimental neuroscience is undergoing a…

Neurons and Cognition · Quantitative Biology 2023-11-07 Aran Nayebi

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

Inferring the presence of critical dynamics from continuous measure- ments is a challenging problem. We solve this problem by showing that continuous narrowband dynamics from a critical system exhibit qualita- tively differing behaviors…

Classical Physics · Physics 2015-09-01 Duncan A. J. Blythe , Vadim V. Nikulin