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Any organism is embedded in an environment that changes over time. The timescale for and statistics of environmental change, the precision with which the organism can detect its environment, and the costs and benefits of particular protein…

Quantitative Methods · Quantitative Biology 2023-07-19 David A. Sivak , Matt Thomson

This paper introduces a novel approach to quantifying ecological resilience in biological systems, particularly focusing on noisy systems responding to episodic disturbances with sudden adaptations. Incorporating concepts from…

Quantitative Methods · Quantitative Biology 2024-12-24 Jorge M. Ramirez , Juan M. Restrepo , Valerio Lucarini , David Weston

Measurement in biological systems became a subject of concern as a consequence of numerous reports on limited reproducibility of experimental results. To reveal origins of this inconsistency, we have examined general features of biological…

Other Quantitative Biology · Quantitative Biology 2017-04-03 Dalibor Štys , Jan Urban , Renata Rychtáriková , Anna Zhyrova , Petr Císař

A model of an organism as an autonomous intelligent system has been proposed. This model was used to analyze learning of an organism in various environmental conditions. Processes of learning were divided into two types: strong and weak…

Artificial Intelligence · Computer Science 2007-05-23 Alexey V. Melkikh

[Context & Motivation] Adaptive systems are an important research area. The dominant reason for adaptivity in systems are changes in the environment. Thus, it is an important question how to model the environment and how to determine the…

Software Engineering · Computer Science 2020-11-17 Fabian Kneer , Erik Kamsties , Klaus Schmid

Robotic adaptation to unanticipated operating conditions is crucial to achieving persistence and robustness in complex real world settings. For a wide range of cutting-edge robotic systems, such as micro- and nano-scale robots, soft robots,…

Robotics · Computer Science 2024-04-19 Siming Deng , Noah J. Cowan , Brian A. Bittner

This thesis focuses on the applications of mathematical tools and concepts brought from nonequilibrium statistical physics to the modeling of ecological problems. The first part provides a short introduction where the theoretical concepts…

Populations and Evolution · Quantitative Biology 2017-01-12 Ricardo Martinez-Garcia

This paper presents a novel adaptive control methodology for uncertain systems with time-varying unknown parameters and time-varying bounded disturbance. The adaptive controller ensures uniformly bounded transient and asymptotic tracking…

Optimization and Control · Mathematics 2007-05-23 Chengyu Cao , Naira Hovakimyan

This is a companion paper to (Cai, Rosenbaum and Tankov, Asymptotic lower bounds for optimal tracking: a linear programming approach, arXiv:1510.04295). We consider a class of strategies of feedback form for the problem of tracking and…

Probability · Mathematics 2016-04-01 Jiatu Cai , Mathieu Rosenbaum , Peter Tankov

Statistical properties of environments experienced by biological signaling systems in the real world change, which necessitate adaptive responses to achieve high fidelity information transmission. One form of such adaptive response is gain…

Molecular Networks · Quantitative Biology 2012-05-01 Ilya Nemenman

Stability theory plays a crucial role in feedback control. However, adaptive control theory requires advanced and specialized stability notions that are not frequently used in standard feedback control theory. The present document is a set…

Optimization and Control · Mathematics 2024-10-23 Iasson Karafyllis , Miroslav Krstic

In several applications such as databases, planning, and sensor networks, parameters such as selectivity, load, or sensed values are known only with some associated uncertainty. The performance of such a system (as captured by some…

Data Structures and Algorithms · Computer Science 2010-01-28 Sudipto Guha , Kamesh Munagala

All living things exhibit adaptations that enable them to survive and reproduce in the natural environment that they inhabit. From a biological standpoint, it has long been understood that adaptation comes from natural selection, whereby…

Biological Physics · Physics 2016-06-22 Nikolai Perunov , Robert Marsland , Jeremy England

In a constantly changing world, animals must account for environmental volatility when making decisions. To appropriately discount older, irrelevant information, they need to learn the rate at which the environment changes. We develop an…

Neurons and Cognition · Quantitative Biology 2017-01-12 Adrian E Radillo , Alan Veliz-Cuba , Kresimir Josic , Zachary P Kilpatrick

Real-world reinforcement learning often faces environment drift, but most existing methods rely on static entropy coefficients/target entropy, causing over-exploration during stable periods and under-exploration after drift, and leaving…

Machine Learning · Computer Science 2026-05-19 Tongxi Wang , Zhuoyang Xia , Xinran Chen , Shan Liu

We address the tracking problem for a class of uncertain non-affine nonlinear systems with high relative degrees, performing non-repetitive tasks. We propose a rigorously proven, robust adaptive learning control scheme that relies on a…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Shuai Gao , Dong Shen , Abdelhamid Tayebi

This paper aims to introduce a concept of an equilibrium point of a dynamical system which will call it almost global asymptotically stable. A biological prey-predator model is also analyzed with a modification function growth in prey…

Optimization and Control · Mathematics 2020-05-27 Sadiq Al-Nassir

Adaptivity is a dynamical feature that is omnipresent in nature, socio-economics, and technology. For example, adaptive couplings appear in various real-world systems like the power grid, social, and neural networks, and they form the…

We construct a stochastic dynamical systems theory in which sustainability is a structural boundary property of a fully coupled Earth--Human--Production system. Each subsystem is modelled as a vector-valued process governed by stochastic…

Theoretical Economics · Economics 2026-03-02 Claudio Pirrone , Stefano Fricano , Gioacchino Fazio

Biological systems perform an astonishing array of dynamical processes -- including development and repair, regulation, behavior and motor control, sensing and signaling, and adaptation, among others. Powered by the transduction of stored…

Soft Condensed Matter · Physics 2025-09-04 James Clarke , Jake McGrath , Colin Johnson , José Alvarado