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Long-term training of large language models (LLMs) requires maintaining stable exploration to prevent the model from collapsing into sub-optimal behaviors. Entropy is crucial in this context, as it controls exploration and helps avoid…

机器学习 · 计算机科学 2026-02-03 Kai Yang , Xin Xu , Yangkun Chen , Weijie Liu , Jiafei Lyu , Zichuan Lin , Deheng Ye , Saiyong Yang

It is known that the equilibrium properties of open classical systems that are strongly coupled to a heat bath are described by a set of thermodynamic potentials related to the system's Hamiltonian of mean force. By adapting this framework…

统计力学 · 物理学 2017-06-28 Harry J. D. Miller , Janet Anders

We study the problem of synthesizing a policy that maximizes the entropy of a Markov decision process (MDP) subject to a temporal logic constraint. Such a policy minimizes the predictability of the paths it generates, or dually, maximizes…

最优化与控制 · 数学 2019-06-17 Yagiz Savas , Melkior Ornik , Murat Cubuktepe , Mustafa O. Karabag , Ufuk Topcu

We consider thermodynamic systems with finitely many degrees of freedom and subject to an external control action. We derive some basic results on the dependence of the relative entropy production rate on the controlling force. Applications…

数学物理 · 物理学 2007-05-23 M. Pavon , F. Ticozzi

The social robot navigation is an open and challenging problem. In existing work, separate modules are used to capture spatial and temporal features, respectively. However, such methods lead to extra difficulties in improving the…

机器人学 · 计算机科学 2023-10-12 Haodong He , Hao Fu , Qiang Wang , Shuai Zhou , Wei Liu

We consider stochastic energy balance and entropy production (EP) in a generalized Langevin dynamics of macrospins, allowing for both amplitude and direction fluctuations, under external magnetic field. EP is calculated using Fokker-Planck…

统计力学 · 物理学 2015-10-09 Swarnali Bandopadhyay , Debasish Chaudhuri , A. M. Jayannavar

Complex institutions are typically characterized by meso-scale structures which are fundamental for the successful coordination of multiple agents. Here we introduce a framework to study the temporal dynamics of the node-community…

社会与信息网络 · 计算机科学 2014-11-05 Gabriele Lami , Marco Cristoforetti , Giuseppe Jurman , Cesare Furlanello , Tommaso Furlanello

The ocean is filled with microscopic microalgae called phytoplankton, which together are responsible for as much photosynthesis as all plants on land combined. Our ability to predict their response to the warming ocean relies on…

应用统计 · 统计学 2022-08-05 Sangwon Hyun , Mattias Rolf Cape , Francois Ribalet , Jacob Bien

In this work, we examine the impact of time-varying temperature and force on the thermodynamic features of active Brownian motor that moves with velocity against the force as well as passive Brownian motor. By deriving analytical…

统计力学 · 物理学 2025-09-10 Mesfin Taye

We propose a simple model for a motor that generates mechanical motion by exploiting an entropic force arising from the topology of the underlying phase space. We show that the generation of mechanical forces in our system is surprisingly…

统计力学 · 物理学 2015-06-15 Natalia Golubeva , Alberto Imparato , Massimiliano Esposito

We investigate the thermodynamics as well as the population dynamics of ecosystems based on a stochastic approach in which the number of individuals of the several species of the ecosystem are treated as stochastic variables. The several…

统计力学 · 物理学 2024-05-31 Tânia Tomè , Mário J. de Oliveira

Implementing insect monitoring systems provides an excellent opportunity to create accurate interventions for insect control. However, selecting the appropriate time for an intervention is still an open question due to the inherent…

Framing control policies to mitigate the impact of invasive plants on indigenous biodiversity within the Sustainable Development Goals (SDG) framework is the primary objective of this work. Using reported ecological dynamics of the invasive…

种群与进化 · 定量生物学 2025-02-18 Shyam Kumar , Preet Mishra , R K Brojen Singh

Nutrient limitation is one of the most common triggers of antibiotic tolerance and persistence. Here, we present two microfluidic setups to study how spatial and temporal variation in nutrient availability lead to increased survival of…

定量方法 · 定量生物学 2020-10-29 Stefany Moreno-Gámez , Alma Dal Co , Simon van Vliet , Martin Ackermann

Organisms adapt to fluctuating environments by regulating their dynamics, and by adjusting their phenotypes to environmental changes. We model population growth using multitype branching processes in random environments, where the offspring…

概率论 · 数学 2009-12-08 Clément Dombry , Christian Mazza , Vincent Bansaye

Microfiltration technology is a widely used engineering strategy for fresh water production and water treatment. The major concern in many applications is the formation of a biological fouling layer leading to increased hydraulic resistance…

生物物理 · 物理学 2021-04-12 V. Luongo , M. R. Mattei , L. Frunzo , B. D'Acunto , K. Gupta , S. Chellam , N. G. Cogan

A major challenge for community ecology is using spatio-temporal data to infer parameters of dynamical models without conducting laborious experiments. We present a novel framework from statistical physics -- Maximum Caliber -- to…

种群与进化 · 定量生物学 2025-11-07 Zachary Jackson , Mathew A. Leibold , Robert D. Holt , BingKan Xue

Cyanobacteria are an integral part of the Earth's biogeochemical cycles and a promising resource for the synthesis of renewable bioproducts from atmospheric CO2 . Growth and metabolism of cyanobacteria are inherently tied to the diurnal…

分子网络 · 定量生物学 2016-10-25 Alexandra-M. Reimers , Henning Knoop , Alexander Bockmayr , Ralf Steuer

In many complex systems, elements interact via time-varying network topologies. Recent research shows that temporal correlations in the chronological ordering of interactions crucially influence network properties and dynamical processes.…

物理与社会 · 物理学 2020-12-01 Yan Zhang , Antonios Garas , Ingo Scholtes

Production of chemicals from engineered organisms in a batch culture involves an inherent trade-off between productivity, yield, and titer. Existing strategies for strain design typically focus on designing mutations that achieve the…

定量方法 · 定量生物学 2016-10-05 Peter C. St. John , Michael F. Crowley , Yannick J. Bomble