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The small-world property in the context of complex networks implies structural benefits to the processes taking place within a network, such as optimal information transmission and robustness. In this paper, we study a model network of…

Adaptation and Self-Organizing Systems · Physics 2015-08-03 Victor Hernandez-Urbina , J. Michael Herrmann

We study a simple model of spin network evolution motivated by the hypothesis that the emergence of classical space-time from a discrete microscopic dynamics may be a self-organized critical process. Self organized critical systems are…

High Energy Physics - Theory · Physics 2008-11-26 Mohammad H. Ansari , Lee Smolin

Novel computing hardwares are necessary to keep up with today's increasing demand for data storage and processing power. In this research project, we turn to the brain for inspiration to develop novel computing substrates that are…

Neurons and Cognition · Quantitative Biology 2019-07-05 Kristine Heiney , Vibeke Devold Valderhaug , Ioanna Sandvig , Axel Sandvig , Gunnar Tufte , Hugo Lewi Hammer , Stefano Nichele

Many biological and cognitive systems do not operate deep within one or other regime of activity. Instead, they are poised at critical points located at phase transitions in their parameter space. The pervasiveness of criticality suggests…

Adaptation and Self-Organizing Systems · Physics 2018-06-04 Miguel Aguilera , Manuel G. Bedia

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

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…

Neurons and Cognition · Quantitative Biology 2026-02-23 Simon Vock , Christian Meisel

A rigorous understanding of brain dynamics and function requires a conceptual bridge between multiple levels of organization, including neural spiking and network-level population activity. Mounting evidence suggests that neural networks of…

Neurons and Cognition · Quantitative Biology 2016-10-11 Yahya Karimipanah , Zhengyu Ma , Ralf Wessel

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

This paper addresses the question of the brain's critical dynamics after an injury such as a stroke. It is hypothesized that the healthy brain operates near a phase transition (critical point), which provides optimal conditions for…

Neurons and Cognition · Quantitative Biology 2023-08-01 Jakub Janarek , Zbigniew Drogosz , Jacek Grela , Jeremi K. Ochab , Paweł Oświęcimka

We present a model of adaptive regulatory networks consisting of a simple biologically-motivated rewiring procedure coupled to an elementary stability criterion. The resulting networks exhibit a characteristic stationary heavy-tailed degree…

Physics and Society · Physics 2020-08-05 Ben D. MacArthur , Rubén J. Sánchez-García , Avi Ma'ayan

The critical brain hypothesis receives increasing support from recent experimental results. It postulates that the brain is at a critical point between an ordered and a chaotic regime, sometimes referred to as the "edge of chaos." Another…

Disordered Systems and Neural Networks · Physics 2022-02-08 Lorenz Baumgarten , Stefan Bornholdt

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

Self-organized criticality elucidates the conditions under which physical and biological systems tune themselves to the edge of a second-order phase transition, with scale invariance. Motivated by the empirical observation of bimodal…

Statistical Mechanics · Physics 2016-06-22 Serena di Santo , Raffaella Burioni , Alessandro Vezzani , Miguel A. Muñoz

A minimal model for self-organized critical percolation on directed graphs with activating and de-activating links is studied. Unlike classical self-organized criticality, the variables that determine criticality are separated from the…

Statistical Mechanics · Physics 2007-05-23 Christel Kamp , Stefan Bornholdt

Many studies have found evidence that the brain operates at a critical point, a processus known as self-organized criticality. A recent paper found remarkable scalings suggestive of criticality in systems as different as neural cultures,…

Neurons and Cognition · Quantitative Biology 2020-12-29 Alain Destexhe , Jonathan D. Touboul

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

Criticality has been conjectured as an integral part of neuronal network dynamics. Operating at a critical threshold requires precise parameter tuning and a corresponding mechanism remains an open question. Recent studies have suggested…

Neurons and Cognition · Quantitative Biology 2021-04-19 Nikita Gutjahr , Philipp Hövel , Aline Viol

Recent experimental results based on multi-electrode and imaging techniques have reinvigorated the idea that large neural networks operate near a critical point, between order and disorder. However, evidence for criticality has relied on…

Neurons and Cognition · Quantitative Biology 2015-03-05 Thierry Mora , Stéphane Deny , Olivier Marre

Experiments in various neural systems found avalanches: bursts of activity with characteristics typical for critical dynamics. A possible explanation for their occurrence is an underlying network that self-organizes into a critical state.…

Neurons and Cognition · Quantitative Biology 2018-11-08 Felipe Yaroslav Kalle Kossio , Sven Goedeke , Benjamin van den Akker , Borja Ibarz , Raoul-Martin Memmesheimer

Controlling the flow and routing of data is a fundamental problem in many distributed networks, including transportation systems, integrated circuits, and the Internet. In the brain, synaptic plasticity rules have been discovered that…

Neural and Evolutionary Computing · Computer Science 2017-04-18 Jonathan Y. Suen , Saket Navlakha