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Causal relationship recognition is a fundamental operation in neural networks aimed at learning behavior, action planning, and inferring external world dynamics. This operation is particularly crucial for reinforcement learning (RL). In the…

Neural and Evolutionary Computing · Computer Science 2023-09-18 Mikhail Kiselev , Denis Larionov , Andrey Urusov

Although there is increasing evidence of criticality in the brain, the processes that guide neuronal networks to reach or maintain criticality remain unclear. The present research examines the role of neuronal gain plasticity in time-series…

Neurons and Cognition · Quantitative Biology 2018-02-21 Ariadne de Andrade Costa , Mary Jean Amon , Olaf Sporns , Luis Favela

The critical brain hypothesis states that there are information processing advantages for neuronal networks working close to the critical region of a phase transition. If this is true, we must ask how the networks achieve and maintain this…

Disordered Systems and Neural Networks · Physics 2020-10-22 Osame Kinouchi , Renata Pazzini , Mauro Copelli

The collective dynamics of a network of excitable nodes changes dramatically when inhibitory nodes are introduced. We consider inhibitory nodes which may be activated just like excitatory nodes but, upon activating, decrease the probability…

Neurons and Cognition · Quantitative Biology 2014-04-03 Daniel B. Larremore , Woodrow L. Shew , Edward Ott , Francesco Sorrentino , Juan G. Restrepo

The criticality hypothesis posits that biological neural networks operate near a phase transition, yet within standard Gaussian mean-field theories this regime appears fragile and requires fine tuning. Here we show that heavy-tailed…

Biological Physics · Physics 2026-03-20 Ryota Kojima

How spiking networks are able to perform probabilistic inference is an intriguing question, not only for understanding information processing in the brain, but also for transferring these computational principles to neuromorphic silicon…

Neurons and Cognition · Quantitative Biology 2017-07-12 Mihai A. Petrovici , Anna Schroeder , Oliver Breitwieser , Andreas Grübl , Johannes Schemmel , Karlheinz Meier

In neural systems, synaptic plasticity is usually driven by spike trains. Due to the inherent noises of neurons, synapses and networks, spike trains typically exhibit externally uncontrollable variability such as spatial heterogeneity and…

Neurons and Cognition · Quantitative Biology 2015-06-18 Zedong Bi , Changsong Zhou , Hai-Jun Zhou

Recent experimental advances are producing an avalanche of data on both neural connectivity and neural activity. To take full advantage of these two emerging datasets we need a framework that links them, revealing how collective neural…

Neurons and Cognition · Quantitative Biology 2020-02-27 Gabriel Koch Ocker , Krešimir Josić , Eric Shea-Brown , Michael A. Buice

Self-sustained activity in the brain is observed in the absence of external stimuli and contributes to signal propagation, neural coding, and dynamic stability. It also plays an important role in cognitive processes. In this work, by means…

Synchrony is inevitable in many oscillating systems -- from the canonical alignment of two ticking grandfather clocks, to the mutual entrainment of beating flagella or spiking neurons. Yet both biological and manmade systems provide…

Adaptation and Self-Organizing Systems · Physics 2021-06-16 William Gilpin

Living systems operate in a critical dynamical regime -- between order and chaos -- where they are both resilient to perturbation, and flexible enough to evolve. To characterize such critical dynamics, the established 'structural theory' of…

Molecular Networks · Quantitative Biology 2022-01-28 Santosh Manicka , Manuel Marques-Pita , Luis M. Rocha

The $1/f$-like decay observed in the power spectrum of electro-physiological signals, along with scale-free statistics of the so-called neuronal avalanches, constitute evidences of criticality in neuronal systems. Recent in vitro studies…

Neurons and Cognition · Quantitative Biology 2017-08-31 Fabrizio Lombardi , Hans J. Herrmann , Lucilla de Arcangelis

We observe and study a self-organized phenomenon whereby the activity in a network of spiking neurons spontaneously terminates. We consider different types of populations, consisting of bistable model neurons connected electrically by gap…

Disordered Systems and Neural Networks · Physics 2018-11-22 Muhammet Uzuntarla , Joaquin J. Torres , Ali Çalım , Ernest Barreto

In this paper, we investigated the neural spikes synchronisation in a neural network with synaptic plasticity and external perturbation. In the simulations the neural dynamics is described by the Hodgkin Huxley model considering chemical…

The topology of social networks can be understood as being inherently dynamic, with edges having a distinct position in time. Most characterizations of dynamic networks discretize time by converting temporal information into a sequence of…

Data Analysis, Statistics and Probability · Physics 2012-12-03 Aaron Clauset , Nathan Eagle

Recognising changes in collective dynamics in complex systems is essential for predicting potential events and their development. Possessing intrinsic attractors with laws associated with scale invariance, self-organised critical dynamics…

Statistical Mechanics · Physics 2024-03-26 Bosiljka Tadic , Alexander Shapoval , Mikhail Shnirman

Dynamical wiring and rewiring in neural networks are carried out by activity-dependent growth and retraction of axons and dendrites, guided by gudance molecules, released by target cells. Experience-dependent structural changes in cortical…

Neurons and Cognition · Quantitative Biology 2007-05-23 Fail M. Gafarov

The relative timing of action potentials in neurons recorded from local cortical networks often shows a non-trivial dependence, which is then quantified by cross-correlation functions. Theoretical models emphasize that such spike train…

Neurons and Cognition · Quantitative Biology 2017-06-28 Taskin Deniz , Stefan Rotter

A recurrent idea in the study of complex systems is that optimal information processing is to be found near bifurcation points or phase transitions. However, this heuristic hypothesis has few (if any) concrete realizations where a standard…

Neurons and Cognition · Quantitative Biology 2007-05-23 Osame Kinouchi , Mauro Copelli

The dynamic range of stimulus processing in living organisms is much larger than a single neural network can explain. For a generic, tunable spiking network we derive that while the dynamic range is maximal at criticality, the interval of…

Disordered Systems and Neural Networks · Physics 2020-02-12 Johannes Zierenberg , Jens Wilting , Viola Priesemann , Anna Levina
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