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The energetic optimization problem, e.g., searching for the optimal switch- ing protocol of certain system parameters to minimize the input work, has been extensively studied by stochastic thermodynamics. In current work, we study this…

统计力学 · 物理学 2010-01-07 Linchen Gong , Ming Li , Zhong-can Ou-yang

Optimal experimental design is a classic topic in statistics, with many well-studied problems, applications, and solutions. The design problem we study is the placement of sensors to monitor spatiotemporal processes, explicitly accounting…

统计方法学 · 统计学 2026-01-05 Daniel Waxman , Fernando Llorente , Katia Lamer , Petar M. Djurić

The substantial increase in AI model training has considerable environmental implications, mandating more energy-efficient and sustainable AI practices. On the one hand, data-centric approaches show great potential towards training…

机器学习 · 计算机科学 2024-02-20 Mohammed Alswaitti , Roberto Verdecchia , Grégoire Danoy , Pascal Bouvry , Johnatan Pecero

We study the biodiversity problem for resource competition systems with extinctions and self-limitation effects. Our main result establishes estimates of biodiversity in terms of the fundamental parameters of the model. We also prove the…

动力系统 · 数学 2018-09-12 Vladimir Kozlov , Sergey Vakulenko , Uno Wennergren , Vladimir G. Tkachev

The thermodynamics is studied with the thermodynamic parameter of the lifetime, first-passage time, generalizing the equilibrium thermodynamics. Various ways of describing several stationary nonequilibrium states in the system are…

统计力学 · 物理学 2019-10-21 V. V. Ryazanov

The use of statistical methods to model gravitational systems is crucial to physics practice, but the extent to which thermodynamics and statistical mechanics genuinely apply to these systems is a contentious issue. This paper provides new…

物理学史与哲学 · 物理学 2025-02-04 Lorenzo Lorenzetti

The situational analysis lies in the basis of space and ground-based experiment planning. It is connected with the use of complex computation models of environment and with verification of the restricting conditions, due to the character of…

综合物理 · 物理学 2010-04-29 Atanas Marinov Atanassov

Statistical hypothesis testing is the central method to demarcate scientific theories in both exploratory and inferential analyses. However, whether this method befits such purpose remains a matter of debate. Established approaches to…

数据分析、统计与概率 · 物理学 2024-10-29 Orestis Loukas , Ho-Ryun Chung

We introduce a methodology to study the possible matter flows of an ecosystem defined by observational biomass data and realistic biological constraints. The flows belong to a polyhedron in a multi dimensional space making statistical…

适应与自组织系统 · 物理学 2021-02-04 Jean-Guy Caputo , Valerie Girardin , Arnaud Knippel , Hieu Nguyen , Nathalie Niquil , Quentin Nogues

A central endeavor of thermodynamics is the measurement of free energy changes. Regrettably, although we can measure the free energy of a system in thermodynamic equilibrium, typically all we can say about the free energy of a…

统计力学 · 物理学 2012-04-10 David A. Sivak , Gavin E. Crooks

In population dynamics, mathematical models often contain too many parameters to be easily testable. A way to reliably estimate parameters for a broad range of systems would help us obtain clearer predictions from theory. In this paper, we…

生物物理 · 物理学 2019-05-08 Andreas Eilersen , Kim Sneppen

Environmental science almost invariably proposes problems of extreme complexity, typically characterized by strongly nonlinear evolution dynamics. The systems under investigation have many degrees of freedom - which makes them complicated -…

大气与海洋物理 · 物理学 2007-05-23 A. Speranza , V. Lucarini

We extend the theory of ergodic optimization and maximizing measures to the non-commutative field of C*-dynamical systems. We then employ this ergodic optimization machinery to provide an alternate characterization of unique erogdicity of…

算子代数 · 数学 2022-01-19 Aidan Young

The interdependence of electricity and natural gas markets is becoming a major topic in energy research. Integrated energy models are used to assist decision-making for businesses and policymakers addressing challenges of energy transition…

综合金融 · 定量金融 2020-09-11 Iegor Riepin , Thomas Möbius , Felix Müsgens

In this paper, we study the problem of finding the global minima of a given function. Specifically, we consider complicated functions with numerous local minima, as is often the case for real-world data mining losses. We do so by applying a…

神经与进化计算 · 计算机科学 2025-11-20 Simon Klüttermann

A dynamic model for failures in biological organisms is proposed and studied both analytically and numerically. Each cell in the organism becomes dead under sufficiently strong stress, and is then allowed to be healed with some probability.…

细胞行为 · 定量生物学 2009-11-11 J. Choi , M. Y. Choi , B. -G. Yoon

I consider the generic situation where a finite number of identical test systems in varying (possibly unknown) initial states are subjected independently to the same unknown process. I show how one can infer from the output data alone…

量子物理 · 物理学 2011-11-03 Jochen Rau

Motivated by the climate crisis that is currently ravaging the planet, we propose and analyze a novel framework for the evolution of anthropogenic climate impact in which the evolution of human environmental behavior and environmental…

动力系统 · 数学 2022-11-22 Kathinka Frieswijk , Lorenzo Zino , A. Stephen Morse , Ming Cao

Thermalization of isolated quantum systems has been studied intensively in recent years and significant progresses have been achieved. Here, we study thermalization of small quantum systems that interact with large chaotic environments…

统计力学 · 物理学 2019-06-05 Jiaozi Wang , Wen-ge Wang , Jiao Wang

The rise of trait-based ecology has led to an increased focus on the distribution and dynamics of traits in communities. However, a general theory of trait-based ecology, that can apply across different scales (e.g., species that differ in…