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In the paper the memory effect in the system consisting from a trajectory of process and an environment is considered. The environment is presented by scalar potential and noise. The evolution of system is interpreted as process of the…

General Physics · Physics 2008-01-28 Maxim Budaev

The training algorithms for AI systems all introduce far-from-equilibrium dynamical processes, and understanding the irreversibility of these algorithms is a fundamental step towards understanding the learning dynamics of modern AI systems.…

Statistical Mechanics · Physics 2026-05-22 Liu Ziyin , Yuanjie Ren , Adam Levine , Isaac Chuang

The cognitive functions of human and non-human primates rely on the dynamic interplay of distributed neural assemblies. As such, it seems unlikely that cognition can be supported by macroscopic brain dynamics at the proximity of…

Visual encoding and decoding models act as gateways to understanding the neural mechanisms underlying human visual perception. Typically, visual encoding models that predict brain activity from stimuli and decoding models that reproduce…

Machine Learning · Computer Science 2026-04-14 Weijian Mai , Mu Nan , Yu Zhu , Jiahang Cao , Rui Zhang , Yuqin Dai , Chunfeng Song , Andrew F. Luo , Jiamin Wu

To infer information flow in any network of agents, it is important first and foremost to establish causal temporal relations between the nodes. Practical and automated methods that can infer causality are difficult to find, and the subject…

Neural and Evolutionary Computing · Computer Science 2024-12-11 Ali Tehrani-Saleh , Christoph Adami

Visibility algorithms are a family of methods to map time series into networks, with the aim of describing the structure of time series and their underlying dynamical properties in graph-theoretical terms. Here we explore some properties of…

Data Analysis, Statistics and Probability · Physics 2015-10-14 Lucas Lacasa , Ryan Flanagan

How is the irreversibility of a high-dimensional chaotic system controlled by the heterogeneity in the non-reciprocal interactions among its elements? In this paper, we address this question using a stochastic model of random recurrent…

Statistical Mechanics · Physics 2025-02-18 Tuan Pham , Albert Alonso , Karel Proesmans

For a general class of translationally invariant systems with a specific category of nonlinearity in the output, this paper presents necessary and sufficient conditions for global observability. Critically, this class of systems cannot be…

Dynamical Systems · Mathematics 2022-10-11 Eduardo D. Sontag , Debojyoti Biswas , Noah J. Cowan

The brain achieves stability and plasticity in a topologically complex, shifting world through Metric-Topology Factorization (MTF), separating discrete topological indexing for context selection from continuous metric condensation for local…

Neurons and Cognition · Quantitative Biology 2026-03-05 Xin Li

Active matter encompasses systems whose individual consituents dissipate energy to exert propelling forces on their environment. This rapidly developing field harbors a dynamical phenomenology with no counterpart in passive systems. The…

Statistical Mechanics · Physics 2023-12-19 Jérémy O'Byrne , Yariv Kafri , Julien Tailleur , Frédéric van Wijland

Optimizing the energy efficiency of driving processes provides valuable insights into the underlying physics and is of crucial importance for numerous applications, from biological processes to the design of machines and robots. Knowledge…

Soft Condensed Matter · Physics 2024-04-02 Sarah A. M. Loos , Samuel Monter , Felix Ginot , Clemens Bechinger

A theoretical framework describing the set of interactions between neurons in the brain, or functional connectivity, should include dynamical functions representing the propagation of signal from one neuron to another. Green's functions and…

Neurons and Cognition · Quantitative Biology 2021-03-24 Francesco Randi , Andrew M. Leifer

Network control theory has recently emerged as a promising approach for understanding brain function and dynamics. By operationalizing notions of control theory for brain networks, it offers a fundamental explanation for how brain dynamics…

Quantitative Methods · Quantitative Biology 2020-03-20 Shikuang Deng , Shi Gu

Human brain dynamics can be profitably viewed through the lens of statistical mechanics, where neurophysiological activity evolves around and between local attractors representing preferred mental states. Many physically-inspired models of…

Neurons and Cognition · Quantitative Biology 2016-09-06 Arian Ashourvan , Shi Gu , Marcelo G. Mattar , Jean M. Vettel , Danielle S. Bassett

Humans can covertly track the position of an object, even if the object is temporarily occluded. What are the neural mechanisms underlying our capacity to track moving objects when there is no physical stimulus for the brain to track? One…

Neurons and Cognition · Quantitative Biology 2020-11-13 Amanda K. Robinson , Tijl Grootswagers , Sophia M. Shatek , Jack Gerboni , Alex Holcombe , Thomas A. Carlson

The search for universal laws that help establish a relationship between dynamics and computation is driven by recent expansionist initiatives in biologically inspired computing. A general setting to understand both such dynamics and…

Machine Learning · Computer Science 2020-09-17 G Manjunath

As people learn to navigate the world, autonomic nervous system (e.g., "fight or flight") responses provide intrinsic feedback about the potential consequence of action choices (e.g., becoming nervous when close to a cliff edge or driving…

Artificial Intelligence · Computer Science 2019-03-25 Daniel McDuff , Ashish Kapoor

Current theoretical and computational models of dopamine-based reinforcement learning are largely rooted in the classical behaviorist tradition, and envision the organism as a purely reactive recipient of rewards and punishments, with…

Neurons and Cognition · Quantitative Biology 2014-05-01 Randall C. O'Reilly , Thomas E. Hazy , Jessica Mollick , Prescott Mackie , Seth Herd

The mammalian brain is a metabolically expensive device, and evolutionary pressures have presumably driven it to make productive use of its resources. For sensory areas, this concept has been expressed more formally as an optimality…

Neurons and Cognition · Quantitative Biology 2016-03-02 Deep Ganguli , Eero P. Simoncelli

Although the conscious state is considered an emergent property of the underlying brain activity and thus somehow resides on brain hardware, there is a non-univocal mapping between both. Given a neural hardware, multiple conscious patterns…

Adaptation and Self-Organizing Systems · Physics 2007-12-10 Ricard V. Sole
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