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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…

神经元与认知 · 定量生物学 2022-02-08 Maik Schünemann , Udo Ernst , Marc Kesseböhmer

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…

神经元与认知 · 定量生物学 2021-05-18 Dietmar Plenz , Tiago L. Ribeiro , Stephanie R. Miller , Patrick A. Kells , Ali Vakili , Elliott L. Capek

Cortical neural circuits display highly irregular spiking in individual neurons but variably sized collective firing, oscillations and critical avalanches at the population level, all of which have functional importance for information…

无序系统与神经网络 · 物理学 2021-01-08 Junhao Liang , Tianshou Zhou , Changsong Zhou

The existence of power-law distributions is only a first requirement in the validation of the critical behavior of a system. Long-range spatio-temporal correlations are fundamental for the spontaneous neuronal activity to be the expression…

统计力学 · 物理学 2018-11-27 Fabrizio Lombardi , Hans J. Herrmann , L. de Arcangelis

Entanglement exhibits universal behavior near the ground-state critical point where correlations are long-ranged and the thermodynamic entropy is vanishing. On the other hand, a quantum quench imparts extensive energy and results in a…

量子气体 · 物理学 2022-02-11 Sanku Paul , Paraj Titum , Mohammad F. Maghrebi

Learning requires the traversal of inherently distinct cognitive states to produce behavioral adaptation. Yet, tools to explicitly measure these states with non-invasive imaging -- and to assess their dynamics during learning -- remain…

Single trial analyses of ensemble activity in alert animals demonstrate that cortical circuits dynamics evolve through temporal sequences of metastable states. Metastability has been studied for its potential role in sensory coding, memory…

神经元与认知 · 定量生物学 2016-03-23 Luca Mazzucato , Alfredo Fontanini , Giancarlo La Camera

We introduce an independence criterion based on entropy regularized optimal transport. Our criterion can be used to test for independence between two samples. We establish non-asymptotic bounds for our test statistic and study its…

机器学习 · 统计学 2022-04-21 Lang Liu , Soumik Pal , Zaid Harchaoui

Synchronization of brain activity fluctuations is believed to represent communication between spatially distant neural processes. These inter-areal functional interactions develop in the background of a complex network of axonal connections…

神经元与认知 · 定量生物学 2016-11-10 Ariel Haimovici , Pablo Balenzuela , Enzo Tagliazucchi

The branching process is the minimal model for propagation dynamics, avalanches and criticality, broadly used in neuroscience. A simple extension of it, adding inhibitory nodes, induces a much-richer phenomenology, including, an…

统计力学 · 物理学 2022-07-08 Roberto Corral López , Victor Buendía , Miguel A. Muñoz

On the grounds of nonadditive entropies -- appropriate for complex systems -- we investigate the electroencephalogram amplitudes of typical and ADHD children. The corresponding probability distributions are $q$-Gaussians, i.e., $\rho(x)…

统计力学 · 物理学 2026-05-05 Henrique Santos Lima , Constantino Tsallis , Dimitri M. Abramov

The mutual information between stimulus and spike-train response is commonly used to monitor neural coding efficiency, but neuronal computation broadly conceived requires more refined and targeted information measures of input-output joint…

神经元与认知 · 定量生物学 2015-04-21 Sarah E. Marzen , Michael R. DeWeese , James P. Crutchfield

Sampling considerations limit the experimental conditions under which information theoretic analyses of neurophysiological data yield reliable results. We develop a procedure for computing the full temporal entropy and information of…

生物物理 · 物理学 2009-11-06 Simon R. Schultz , Stefano Panzeri

The spiking activity of neocortical neurons exhibits a striking level of variability, even when these networks are driven by identical stimuli. The approximately Poisson firing of neurons has led to the hypothesis that these neural networks…

神经元与认知 · 定量生物学 2023-12-29 Logan A. Becker , Baowang Li , Nicholas J. Priebe , Eyal Seidemann , Thibaud Taillefumier

Recent work emphasizes that the maximum entropy principle provides a bridge between statistical mechanics models for collective behavior in neural networks and experiments on networks of real neurons. Most of this work has focused on…

神经元与认知 · 定量生物学 2015-06-05 Gasper Tkacik , Olivier Marre , Thierry Mora , Dario Amodei , Michael J. Berry , William Bialek

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…

神经元与认知 · 定量生物学 2018-01-03 Matteo Martinello , Jorge Hidalgo , Serena di Santo , Amos Maritan , Dietmar Plenz , Miguel A. Muñoz

It has been postulated that the brain operates in a self-organized critical state that brings multiple benefits, such as optimal sensitivity to input. Thus far, self-organized criticality has typically been depicted as a one-dimensional…

适应与自组织系统 · 物理学 2023-05-08 Silja Sormunen , Thilo Gross , Jari Saramäki

The critical behaviour of a Random Fiber Bundle Model with mixed uniform distribution of threshold strengths and global load sharing rule is studied with a special emphasis on the nature of distribution of avalanches for different…

统计力学 · 物理学 2009-11-11 Uma Divakaran , Amit Dutta

In the past few decades, there have been intense debates whether the brain operates at a critical state. To verify the criticality hypothesis in the neuronal networks is challenging and the accumulating experimental and theoretical results…

神经元与认知 · 定量生物学 2025-02-26 Chia-Ying Lin , Mei Ian Sam , Yi-Ching Tsai , Hsiu-Hau Lin

We consider a model of monitored quantum dynamics with quenched spatial randomness: specifically, random quantum circuits with spatially varying measurement rates. These circuits undergo a measurement-induced phase transition (MIPT) in…

无序系统与神经网络 · 物理学 2023-11-10 Aidan Zabalo , Justin H. Wilson , Michael J. Gullans , Romain Vasseur , Sarang Gopalakrishnan , David A. Huse , J. H. Pixley