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The noise can stabilize a fluctuating or a periodically driven metastable state in such a way that the system remains in this state for a longer time than in the absence of white noise. This is the noise enhanced stability phenomenon,…

Statistical Mechanics · Physics 2007-05-23 Bernardo Spagnolo , Nikolay V. Agudov , Alexander A. Dubkov

Active learning seeks to build the best possible model with a budget of labelled data by sequentially selecting the next point to label. However the training set is no longer \textit{iid}, violating the conditions required by existing…

Machine Learning · Statistics 2019-10-14 Jack Goetz , Ambuj Tewari

Individual neurons often produce highly variable responses over nominally identical trials, reflecting a mixture of intrinsic "noise" and systematic changes in the animal's cognitive and behavioral state. Disentangling these sources of…

Neurons and Cognition · Quantitative Biology 2021-11-08 Alex H. Williams , Scott W. Linderman

The activity patterns of highly developed cognitive systems like the human brain are dominated by autonomous dynamical processes, that is by a self-sustained activity which would be present even in the absence of external sensory stimuli.…

Neurons and Cognition · Quantitative Biology 2008-04-14 Claudius Gros , Gregor Kaczor

Humans can often predict physical outcomes after only a few observations, a capability known as physical intuition. The mechanisms underlying this efficient learning remain elusive. Here, we introduce a variational learning framework in…

Computational Physics · Physics 2026-03-19 Jingruo Peng , Shuze Zhu

Healthcare data often come from multiple sites in which the correlations between confounding variables can vary widely. If deep learning models exploit these unstable correlations, they might fail catastrophically in unseen sites. Although…

Machine Learning · Computer Science 2023-10-25 Minh Nguyen , Alan Q. Wang , Heejong Kim , Mert R. Sabuncu

According to mechanistic theories of working memory (WM), information is retained as persistent spiking activity of cortical neural networks. Yet, how this activity is related to changes in the oscillatory profile observed during WM tasks…

Neurons and Cognition · Quantitative Biology 2021-04-20 Nikita Novikov , Denis Zakharov , Victoria Moiseeva , Boris Gutkin

We consider the long-time dynamics of a general class of nonlinear Fokker-Planck equations, describing the large population behavior of mean-field interacting units. The main motivation of this work concerns the case where the individual…

Analysis of PDEs · Mathematics 2020-01-08 Eric Lucon , Christophe Poquet

Reinforcement learning (RL) agents under partial observability often condition actions on internally accumulated information such as memory or inferred latent context. We formalise such information-conditioned interaction patterns as…

Machine Learning · Computer Science 2026-03-23 Alexander Galozy

On the basis of the competing cubic-quintic nonlinearity model, stability (instability) of continuous waves in nonlocal random non-Kerr nonlinear media is studied analytically and numerically. Fluctuating media parameters are modeled by the…

Pattern Formation and Solitons · Physics 2008-04-24 Maxim A. Molchan

Natural animal behavior displays rich lexical and temporal dynamics, even in a stable environment. This implies that behavioral variability arises from sources within the brain, but the origin and mechanics of these processes remain largely…

Neurons and Cognition · Quantitative Biology 2020-01-28 Stefano Recanatesi , Ulises Pereira , Masayoshi Murakami , Zachary Mainen , Luca Mazzucato

The phase response curve (PRC) is an important measure representing the interaction between oscillatory elements. To understand synchrony in biological systems, many research groups have sought to measure PRCs directly from biological cells…

Quantitative Methods · Quantitative Biology 2015-08-03 Kazuhiko Morinaga , Ryota Miyata , Toru Aonishi

We considered a model for an infectious disease outbreak, when the depletion of susceptible individuals is negligible, and assumed that individuals adapt their behavior according to the information they receive about new cases. In line with…

Populations and Evolution · Quantitative Biology 2025-11-27 Alessia andò , Simone De Reggi , Francesca Scarabel , Rossana Vermiglio , Jianhong Wu

Many phenomena in nature are described by excitable systems driven by colored noise. The temporal correlations in the fluctuations hinder an analytical treatment. We here present a general method of reduction to a white-noise system,…

Statistical Mechanics · Physics 2015-11-25 Jannis Schuecker , Markus Diesmann , Moritz Helias

Recent work has pioneered the use of system-theoretic passivity to study equilibrium stability for the dynamics of noncooperative strategic interactions in large populations of learning agents. In this and related works, the stability…

Dynamical Systems · Mathematics 2024-12-16 Jair Certorio , Kevin Chang , Nuno C. Martins , Pierluigi Nuzzo , Yasser Shoukry

Dormancy is a widespread adaptive strategy that enables populations to persist in fluctuating environments, yet how its benefits depend on the temporal structure of environmental variability remains unclear. We examine how dormancy…

Populations and Evolution · Quantitative Biology 2025-12-08 Jorge Hidalgo , Lorenzo Fant , Rafael Rubio de Casas , Miguel A. Muñoz

Recently, adaptive control systems with relaxed persistent excitation (PE) conditions have been proposed to guarantee true parameter convergence and improve the transient response. However, in some cases, sufficient control performance and…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Satoshi Tsuruhara , Kazuhisa Ito

We exhibit a fundamental relationship between measures of dynamical and structural stability of equilibriums, arising from real dynamical systems. We show that dynamical stability, quantified via systems local response to external…

Dynamical Systems · Mathematics 2016-09-28 Jean-François Arnoldi , Bart Haegeman

Autonomous agents operating in uncertain environments must balance fast responses with goal-directed planning. Classical MF RL often converges slowly and may induce unsafe exploration, whereas MB methods are computationally expensive and…

A standard approach to analysis of noise-induced effects in stochastic dynamics assumes a Gaussian character of the noise term describing interaction of the analyzed system with its complex surroundings. An additional assumption about the…

Statistical Mechanics · Physics 2009-05-06 Bartlomiej Dybiec , Ewa Gudowska-Nowak