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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…

适应与自组织系统 · 物理学 2012-09-18 Felix Droste , Anne-Ly Do , Thilo Gross

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…

神经元与认知 · 定量生物学 2015-05-13 Christian Meisel , Thilo Gross

Deep Neural Networks (DNNs) excel at many tasks, often rivaling or surpassing human performance. Yet their internal processes remain elusive, frequently described as "black boxes." While performance can be refined experimentally, achieving…

无序系统与神经网络 · 物理学 2025-02-03 Sebastiano Ariosto

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

Connectivity patterns of relevance in neuroscience and systems biology can be encoded in hierarchical modular networks (HMNs). Moreover, recent studies highlight the role of hierarchical modular organization in shaping brain activity…

无序系统与神经网络 · 物理学 2017-11-22 Ali Safari , Paolo Moretti , Miguel A. Muñoz

We show that a network of spiking neurons exhibits robust self-organized criticality if the synaptic efficacies follow realistic dynamics. Deriving analytical expressions for the average coupling strengths and inter-spike intervals, we…

统计力学 · 物理学 2007-12-07 Anna Levina , J. Michael Herrmann , Theo Geisel

The observation of critical-like behavior in cortical networks represents a major step forward in elucidating how the brain manages information. Understanding the origin and functionality of critical-like dynamics, as well as their…

神经元与认知 · 定量生物学 2015-06-22 Paula Villa Martín , Paolo Moretti , Miguel A. Muñoz

Phase transitions and critical behavior are crucial issues both in theoretical and experimental neuroscience. We report analytic and computational results about phase transitions and self-organized criticality (SOC) in networks with general…

适应与自组织系统 · 物理学 2016-10-07 L. Brochini , A. A. Costa , M. Abadi , A. C. Roque , J. Stolfi , O. Kinouchi

Deep neural networks (DNNs) have been successfully applied to many real-world problems, but a complete understanding of their dynamical and computational principles is still lacking. Conventional theoretical frameworks for analysing DNNs…

机器学习 · 计算机科学 2022-03-25 Cheng Kevin Qu , Asem Wardak , Pulin Gong

The influence of networks topology on collective properties of dynamical systems defined upon it is studied in the thermodynamic limit. A network model construction scheme is proposed where the number of links, the average eccentricity and…

物理与社会 · 物理学 2015-05-25 Sarah De Nigris , Xavier Leoncini

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

A mechanism for self-organization of the degree of connectivity in model neural networks is studied. Network connectivity is regulated locally on the basis of an order parameter of the global dynamics which is estimated from an observable…

统计力学 · 物理学 2009-11-07 Stefan Bornholdt , Torsten Roehl

Self-organized criticality has been proposed to be a universal mechanism for the emergence of scale-free dynamics in many complex systems, and possibly in the brain. While such scale-free patterns were identified experimentally in many…

神经元与认知 · 定量生物学 2021-05-11 Roxana Zeraati , Viola Priesemann , Anna Levina

Hierarchical networks are attracting a renewal interest for modelling the organization of a number of biological systems and for tackling the complexity of statistical mechanical models beyond mean-field limitations. Here we consider the…

无序系统与神经网络 · 物理学 2016-01-26 Elena Agliari , Adriano Barra , Andrea Galluzzi , Francesco Guerra , Daniele Tantari , Flavia Tavani

The rapid advances in artificial intelligence (AI) have largely been driven by scaling deep neural networks (DNNs) - increasing model size, data, and computational resources. Yet performance is ultimately governed by network dynamics. The…

神经元与认知 · 定量生物学 2026-02-23 Simon Vock , Christian Meisel

Functional networks provide a topological description of activity patterns in the brain, as they stem from the propagation of neural activity on the underlying anatomical or structural network of synaptic connections. This latter is well…

无序系统与神经网络 · 物理学 2021-02-11 Ali Safari , Paolo Moretti , Ibai Diez , Jesus M. Cortes , Miguel Ángel Muñoz

The critical state is assumed to be optimal for any computation in recurrent neural networks, because criticality maximizes a number of abstract computational properties. We challenge this assumption by evaluating the performance of a…

It has been proposed that adaptation in complex systems is optimized at the critical boundary between ordered and disordered dynamical regimes. Here, we review models of evolving dynamical networks that lead to self-organization of network…

适应与自组织系统 · 物理学 2008-11-07 Thimo Rohlf , Stefan Bornholdt

Deep neural networks (DNNs) are powerful tools for compressing and distilling information. Their scale and complexity, often involving billions of inter-dependent parameters, render direct microscopic analysis difficult. Under such…

机器学习 · 统计学 2022-09-26 Inbar Seroussi , Gadi Naveh , Zohar Ringel

Thermodynamic criticality describes emergent phenomena in a wide variety of complex systems. In the mammalian brain, the complex dynamics that spontaneously emerge from neuronal interactions have been characterized as neuronal avalanches, a…

生物物理 · 物理学 2013-04-16 Shan Yu , Hongdian Yang , Oren Shriki , Dietmar Plenz
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