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Entropy is a central concept in physics, but can be challenging to calculate even for systems that are easily simulated. This is exacerbated out of equilibrium, where generally little is known about the distribution characterizing simulated…

统计力学 · 物理学 2024-05-09 Samuel D. Gelman , Guy Cohen

In 1938, H. Selye proposed the notion of adaptation energy and published "Experimental evidence supporting the conception of adaptation energy". Adaptation of an animal to different factors appears as the spending of one resource.…

种群与进化 · 定量生物学 2016-09-01 A. N. Gorban , T. A. Tyukina , E. V. Smirnova , L. I. Pokidysheva

The need to estimate a particular quantile of a distribution is an important problem which frequently arises in many computer vision and signal processing applications. For example, our work was motivated by the requirements of many…

计算机视觉与模式识别 · 计算机科学 2015-04-22 Ognjen Arandjelovic , Duc-Son Pham , Svetha Venkatesh

The integrable system is constrained strictly by the conservation law during the time evolution, and the nearly integrable system or nonintegrable system is also constrained by the conserved parameters (like the constants of motion) with…

统计力学 · 物理学 2017-11-10 Chen-Huan Wu

The ability of organisms to accurately sense their environment and respond accordingly is critical for evolutionary success. However, exactly how the sensory ability influences fitness is a topic of active research, while the necessity of a…

种群与进化 · 定量生物学 2020-11-11 Alexander S. Moffett , Nigel Wallbridge , Carrol Plummer , Andrew W. Eckford

Empirical evidence suggesting that living systems might operate in the vicinity of critical points, at the borderline between order and disorder, has proliferated in recent years, with examples ranging from spontaneous brain activity to…

The thermodynamic approach to non-equilibrium dynamics describes the state of macroscopic systems by means of a collection of intensities or intensive variables. The latter are by definition the differentials of the entropy with respect to…

chao-dyn · 物理学 2008-02-03 Z. Hens , X. de Hemptinne

The time sequences of the molecular dynamics simulation for the folding process of a protein is analyzed with the inherent structure landscape which focuses on configurational dynamics of the system. Time dependent energy and entropy for…

统计力学 · 物理学 2013-02-13 Naoko Nakagawa

High precision measurements are essential to solve major scientific and technological challenges, from gravitational wave detection to healthcare diagnostics. Quantum sensing delivers greater precision, but an in-depth optimisation of…

Cells can be considered as systems that utilize changes in thermodynamic entropy as information. Therefore, they serve as useful models for investigating the relationships between entropy production and information transmission, i.e.,…

分子网络 · 定量生物学 2017-03-09 Tatsuaki Tsuruyama

We show that a rate of conditional Shannon entropy reduction, characterizing the learning of an internal process about an external process, is bounded by the thermodynamic entropy production. This approach allows for the definition of an…

生物物理 · 物理学 2014-11-07 Andre C. Barato , David Hartich , Udo Seifert

Although many phenotypic traits are determined by a large number of genetic variants, how a polygenic trait adapts in response to the changes in the environment is still poorly understood. Here we study the adaptation dynamics of a…

种群与进化 · 定量生物学 2018-10-19 Kavita Jain , Archana Devi

The problem of the insensitivity of the macroscopic behavior of any thermodynamical system to partitioning generates a bias between the reproducibility of its macroscopic behavior viewed as the simplest form of causality and its long-term…

综合物理 · 物理学 2007-05-23 Maria K. Koleva

Standard approaches to controlling dynamical systems involve biologically implausible steps such as backpropagation of errors or intermediate model-based system representations. Recent advances in machine learning have shown that…

统计力学 · 物理学 2025-07-11 Carlos Floyd , Aaron R. Dinner , Suriyanarayanan Vaikuntanathan

Stochastic multiplicative dynamics characterize many complex natural phenomena such as selection and mutation in evolving populations, and the generation and distribution of wealth within social systems. Population heterogeneity in…

物理与社会 · 物理学 2022-09-21 Jordan T. Kemp , Luís M. A. Bettencourt

Innovations across science and industry are evaluated using randomized trials (a.k.a. A/B tests). While simple and robust, such static designs are inefficient or infeasible for testing many hypotheses. Adaptive designs can greatly improve…

机器学习 · 计算机科学 2024-08-09 Jimmy Wang , Ethan Che , Daniel R. Jiang , Hongseok Namkoong

This article reviews how organisms learn and recognize the world through the dynamics of neural networks from the perspective of Bayesian inference, and introduces a view on how such dynamics is described by the laws for the entropy of…

神经元与认知 · 定量生物学 2020-06-24 Hideaki Shimazaki

Robust control of complex engineered and biological systems hinges on the integration of feedforward and feedback mechanisms. This is exemplified in neural motor control, where feedforward muscle co-contraction complements sensory-driven…

最优化与控制 · 数学 2026-03-06 Bastien Berret , Frédéric Jean

Living systems process sensory data to facilitate adaptive behaviour. A given sensor can be stimulated as the result of internally driven activity, or by purely external (environmental) sources. It is clear that these inputs are processed…

神经与进化计算 · 计算机科学 2022-05-16 James Garner , Matthew Egbert

Organisms and ecological groups accumulate evidence to make decisions. Classic experiments and theoretical studies have explored this process when the correct choice is fixed during each trial. However, we live in a constantly changing…

神经元与认知 · 定量生物学 2015-10-01 Alan Veliz-Cuba , Zachary P. Kilpatrick , Kresimir Josic