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Strongly non-Markovian random walks offer a promising modeling framework for understanding animal and human mobility, yet, few analytical results are available for these processes. Here we solve exactly a model with long range memory where…

Statistical Mechanics · Physics 2015-06-19 Denis Boyer , Citlali Solis-Salas

We examine the effects of memory and different updating paradigms in a game-theoretic model of competitive learning, where agents are influenced in their choice of strategy by both the choices made by, and the consequent success rates of,…

Physics and Society · Physics 2012-01-23 Ajaz Ahmad Bhat , Anita Mehta

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…

Emerging Technologies · Computer Science 2020-11-05 Benjamin Cramer , David Stöckel , Markus Kreft , Michael Wibral , Johannes Schemmel , Karlheinz Meier , Viola Priesemann

Highly correlated brain dynamics produces synchronized states with no behavioral value, while weakly correlated dynamics prevents information flow. We discuss the idea put forward by Per Bak that the working brain stays at an intermediate…

Disordered Systems and Neural Networks · Physics 2009-09-29 Dante R. Chialvo

The ability to estimate temporal relationships is critical for both animals and artificial agents. Cognitive science and neuroscience provide remarkable insights into behavioral and neural aspects of temporal credit assignment. In…

Artificial Intelligence · Computer Science 2024-12-23 Md Rysul Kabir , James Mochizuki-Freeman , Zoran Tiganj

At the core of the Ouroboros Model lies a self-referential recursive process with alternating phases of data acquisition and evaluation. Memory entries are organized in schemata. Activation at a time of part of a schema biases the whole…

General Physics · Physics 2008-05-20 Knud Thomsen

While multiple time scales generally arise in the dynamics of disordered systems, we find multiple time scales in absence of disorder, in a simple model with hard local constraints. The dynamics of the model, which consists of local…

Statistical Mechanics · Physics 2015-06-22 O. Cepas

We analyze the dynamics of random walks with long-term memory (binary chains with long-range correlations) in the presence of an absorbing boundary. An analytically solvable model is presented, in which a dynamical phase-transition occurs…

Statistical Mechanics · Physics 2009-11-11 Uri Keshet , Shahar Hod

The material bases of information - paper, computer discs - usually scale with information quantity. Large quantities of information usually require large material bases. Conventional wisdom has it that human long-term memory locates within…

Neurons and Cognition · Quantitative Biology 2014-06-05 Donald R. Forsdyke

In many physical, social or economical phenomena we observe changes of a studied quantity only in discrete, irregularly distributed points in time. The stochastic process used by physicists to describe this kind of variables is the…

Statistical Finance · Quantitative Finance 2020-04-14 Jarosław Klamut , Tomasz Gubiec

Task-free continual learning (CL) aims to learn a non-stationary data stream without explicit task definitions and not forget previous knowledge. The widely adopted memory replay approach could gradually become less effective for long data…

Machine Learning · Computer Science 2022-08-23 Zhenyi Wang , Li Shen , Le Fang , Qiuling Suo , Tiehang Duan , Mingchen Gao

Motivated by the idea that criticality and universality of phase transitions might play a crucial role in achieving and sustaining learning and intelligent behaviour in biological and artificial networks, we analyse a theoretical and a…

Artificial Intelligence · Computer Science 2017-06-01 Dan Oprisa , Peter Toth

As a promising computational paradigm, occurrence of critical states in artificial and biological neural networks has attracted wide-spread attention. An often-made explicit or implicit assumption is that one single critical state is…

Neurons and Cognition · Quantitative Biology 2017-08-15 Karlis Kanders , Tom Lorimer , Yoko Uwate , Willi-Hans Steeb , Ruedi Stoop

The rates at which individuals memorize and forget environmental information strongly influence their movement paths and long-term space use. To understand how these cognitive time scales shape population-level patterns, we propose and…

Analysis of PDEs · Mathematics 2026-02-19 Kyung-Han Choi , Thomas Hillen

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

The impact of large language models (LLMs) on critical thinking has provoked growing attention, yet this impact on actual performance may not be uniformly negative or positive. Particularly, the role of time -- the temporal context under…

Human-Computer Interaction · Computer Science 2026-03-11 Jiayin Zhi , Harsh Kumar , Mina Lee

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

Deficits in working memory, which includes both the ability to learn and to retain information short-term, are a hallmark of many cognitive disorders. Our study analyzes data from a neuroscience experiment on animal subjects, where…

Applications · Statistics 2025-12-23 Maria Laura Battagliola , Laura J. Benoit , Sarah Canetta , Shizhe Zhang , R. Todd Ogden

Cognitive ageing seems to be a story of global degradation. As one ages there are a number of physical, chemical and biological changes that take place. Therefore it is logical to assume that the brain is no exception to this phenomenon.…

Adaptation and Self-Organizing Systems · Physics 2014-08-07 Sakyasingha Dasgupta

One stylized feature of financial volatility impacting the modeling process is long memory. This paper examines long memory for alternative risk measures, observed absolute and squared returns for Daily REITs and compares the findings for a…

Statistical Finance · Quantitative Finance 2011-03-29 John Cotter , Simon Stevenson