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We discuss an online decentralized decision making problem where the agents are coupled with affine inequality constraints. Alternating Direction Method of Multipliers (ADMM) is used as the computation engine and we discuss the convergence…

系统与控制 · 电气工程与系统科学 2020-11-20 Yuxiao Chen , Mario Santillo , Mrdjan Jankovic , Aaron D. Ames

After the justification of the maximum entropy approach for equilibrium thermodynamic system, and of a maximum path entropy algorithm for nonequilibrium thermodynamic systems by virtue of the principle of virtual work, we present in this…

统计力学 · 物理学 2007-12-18 Qiuping A. Wang

Statistical modeling often involves identifying an optimal estimate to some underlying probability distribution known to satisfy some given constraints. I show here that choosing as estimate the centroid, or center of mass, of the set…

统计方法学 · 统计学 2013-10-11 Jonathan Landy

Limited by cognitive abilities, decision-makers (DMs) may struggle to evaluate decision alternatives based on all criteria in multiple criteria decision-making problems. This paper proposes an embedded criteria selection method derived from…

最优化与控制 · 数学 2025-06-10 Kun Zhou , Zaiwu Gong , Guo Wei , Roman Slowinski

This study presents a new formulation for the norms and scalar products used in tangent linear or adjoint models to determine forecast errors and sensitivity to observations and to calculate singular vectors. The new norm is derived from…

大气与海洋物理 · 物理学 2019-12-02 Pascal Marquet , Jean-François Mahfouf , Daniel Holdaway

Learning a Markov Decision Process (MDP) from a fixed batch of trajectories is a non-trivial task whose outcome's quality depends on both the amount and the diversity of the sampled regions of the state-action space. Yet, many MDPs are…

机器学习 · 计算机科学 2022-03-08 Giorgio Angelotti , Nicolas Drougard , Caroline P. C. Chanel

Engineering Thermodynamics has been the core course of many science and engineering majors around the world, including energy and power, mechanical engineering, civil engineering, aerospace, cryogenic refrigeration, food engineering,…

物理教育 · 物理学 2021-01-19 Di He , Zhipeng Duan , Chaojun Wang , Boshu He

In this paper, energy efficient power allocation for the uplink of a multi-cell massive MIMO system is investigated. With the simplified power consumption model, the problem of power allocation is formulated as a constrained Markov decision…

信息论 · 计算机科学 2017-03-22 Peng Li , Yanxiang Jiang , Wei Li , Fuchun Zheng , Xiaohu You

The Thermodynamic Formalism provides a rigorous mathematical framework to study quantitative and qualitative aspects of dynamical systems. At its core there is a variational principle corresponding, in its simplest form, to the Maximum…

神经元与认知 · 定量生物学 2020-12-30 Rodrigo Cofré , Cesar Maldonado , Bruno Cessac

Real-life engineering optimization problems need Multiobjective Optimization (MOO) tools. These problems are highly nonlinear. As the process of Multiple Criteria Decision-Making (MCDM) is much expanded most MOO problems in different…

软件工程 · 计算机科学 2010-04-20 A. Mosavi

In this paper we propose a new multiple criteria decision aiding method to deal with sorting problems in which alternatives are evaluated on criteria structured in a hierarchical way and presenting interactions. The underlying preference…

最优化与控制 · 数学 2020-03-11 Sally Giuseppe Arcidiacono , Salvatore Corrente , Salvatore Greco

We introduce the spatiotemporal Markov decision process (STMDP), a special type of Markov decision process that models sequential decision-making problems which are not only characterized by temporal, but also by spatial interaction…

最优化与控制 · 数学 2025-01-08 M. C. de Jongh , Richard J. Boucherie , M. N. M. van Lieshout

We build a comprehensive methodology for the fast computation of entropy across both solid and liquid phases. The proposed method utilizes a single trajectory of molecular dynamics (MD) to facilitate the calculation of entropy, which is…

计算物理 · 物理学 2024-04-05 Qi-Jun Hong , Zi-Kui Liu

A great many observables seen in intermediate energy heavy ion collisions can be explained on the basis of statistical equilibrium. Calculations based on statistical equilibrium can be implemented in microcanonical ensemble (energy and…

核理论 · 物理学 2009-11-10 C. B. Das , S. Das Gupta , W. G. Lynch , A. Z. Mekjian , M. B. Tsang

We consider a decision-making problem to find absolute ratings of alternatives that are compared in pairs under multiple criteria, subject to constraints in the form of two-sided bounds on ratios between the ratings. Given matrices of…

最优化与控制 · 数学 2024-03-22 Nikolai Krivulin

Based on the foundations of thermodynamics and the equilibrium conditions for the coexistence of two phases in a magnetic Ising-like system, we show, first, that there is a critical point where the isothermal susceptibility diverges and the…

统计力学 · 物理学 2020-06-24 Victor Romero-Rochin

The inference of thermodynamic quantities from the description of an only partially accessible physical system is a central challenge in stochastic thermodynamics. A common approach is coarse-graining, which maps the dynamics of such a…

统计力学 · 物理学 2022-08-19 Jann van der Meer , Benjamin Ertel , Udo Seifert

In this paper, a sparse Markov decision process (MDP) with novel causal sparse Tsallis entropy regularization is proposed.The proposed policy regularization induces a sparse and multi-modal optimal policy distribution of a sparse MDP. The…

机器学习 · 计算机科学 2017-10-16 Kyungjae Lee , Sungjoon Choi , Songhwai Oh

In this paper we explore several approaches for sampling weight vectors in the context of weighted sum scalarisation approaches for solving multi-criteria decision making (MCDM) problems. This established method converts a multi-objective…

最优化与控制 · 数学 2025-04-18 Aled Williams , Yilun Cai

In this paper we exploit two equivalent formulations of the average rate of material entropy production in a planetary system to propose an approximate splitting between contributions due to vertical and eminently horizontal processes. Our…

大气与海洋物理 · 物理学 2015-05-18 Valerio Lucarini , Klaus Fraedrich , Francesco Ragone