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We consider the problem of the estimation of the invariant distribution function of an ergodic diffusion process when the drift coefficient is unknown. The empirical distribution function is a natural estimator which is unbiased, uniformly…

统计理论 · 数学 2007-06-13 Ilia Negri

Thermal-aware workload distribution is a common approach in the literature for power consumption optimization in data centers. However, data centers also have other operational costs such as the cost of equipment maintenance and…

系统与控制 · 电气工程与系统科学 2023-08-25 Somayye Rostami , Douglas G. Down , George Karakostas

A stochastic inverse heat transfer problem is formulated to infer the transient heat flux, treated as an unknown Neumann boundary condition. Therefore, an Ensemble-based Simultaneous Input and State Filtering as a Data Assimilation…

数值分析 · 数学 2024-03-01 Kabir Bakhshaei , Umberto Emil Morelli , Giovanni Stabile , Gianluigi Rozza

With the popularity of electric vehicles, the demand for lithium-ion batteries is increasing. Temperature significantly influences the performance and safety of batteries. Battery thermal management systems can effectively control the…

机器学习 · 计算机科学 2026-01-07 Zheng Liu , Yuan Jiang , Yumeng Li , Pingfeng Wang

The principle of maximum entropy is a broadly applicable technique for computing a distribution with the least amount of information possible constrained to match empirical data, for instance, feature expectations. We seek to generalize…

信息论 · 计算机科学 2022-05-30 Kenneth Bogert

Despite the wide usage of information as a concept in science, we have yet to develop a clear & concise scientific definition. This paper is aimed at laying the foundations for a new theory concerning the mechanics of information alongside…

综合物理 · 物理学 2017-07-13 Kiyam Lin , SongLing Lin

In this paper, we present a theoretical and computational workflow for the non-parametric Bayesian inference of drift and diffusion functions of autonomous diffusion processes. We base the inference on the partial differential equations…

计算工程、金融与科学 · 计算机科学 2024-11-05 Maximilian Kruse , Sebastian Krumscheid

We analyze a periodic optimal finite-time two-state information-driven machine that extracts work from a single heat bath exploring imperfect measurements. Two models are considered, a memory-less one that ignores past measurements and an…

统计力学 · 物理学 2014-09-26 Michael Bauer , Andre C. Barato , Udo Seifert

The optimal control of open quantum systems is a challenging task but has a key role in improving existing quantum information processing technologies. We introduce a general framework based on Reinforcement Learning to discover optimal…

量子物理 · 物理学 2022-01-19 Paolo Andrea Erdman , Frank Noé

Advances in machine learning have led to the development of foundation models for atomistic materials chemistry, enabling quantum-accurate descriptions of interatomic forces across chemically diverse compounds at reduced computational cost.…

材料科学 · 物理学 2025-07-11 Balázs Póta , Paramvir Ahlawat , Gábor Csányi , Michele Simoncelli

We investigate fundamental connections between thermodynamics and quantum information theory. First, we show that the operational framework of thermal operations is nonequivalent to the framework of Gibbs-preserving maps, and we comment on…

量子物理 · 物理学 2016-07-13 Philippe Faist

In this work we investigate a model of thermalization wherein a single ancillary qubit randomly interacts with the system to be thermalized. This not only sheds light on the emergence of Gibbs states in nature, but also provides a routine…

量子物理 · 物理学 2025-02-06 Matthew Hagan , Nathan Wiebe

Accurate prediction of physical fields is critical in various engineering applications, including thermal management in electronic systems, airfoil shape optimization in aerospace, and flow field control in hypersonic vehicles. This study…

流体动力学 · 物理学 2026-03-12 Yuan Jia , Chi Zhang , Hao Ma , Qiao Zhang , Kai Liu , Chih-Yung Wen

This paper revisits Brownian motion from the perspective of Information Theory, aiming to explore the connections between Information Theory, Thermodynamics, and Complex Science. First, we propose a single-particle discrete Brownian motion…

统计力学 · 物理学 2024-12-10 Hongzheng Liu , Zhiyue Wu

We discuss Bayesian inference for parameters selected using the data. First, we provide a critical analysis of the existing positions in the literature regarding the correct Bayesian approach under selection. Second, we propose two types of…

统计理论 · 数学 2021-05-12 Daniel G. Rasines , G. Alastair Young

Understanding adaptive human driving behavior, in particular how drivers manage uncertainty, is of key importance for developing simulated human driver models that can be used in the evaluation and development of autonomous vehicles.…

机器人学 · 计算机科学 2023-11-14 Johan Engström , Ran Wei , Anthony McDonald , Alfredo Garcia , Matt O'Kelly , Leif Johnson

By using a path information defined for the measure of the uncertainty of instable dynamics, a theoretical derivation of Fourier's law of heat conduction is given on the basis of maximum information method associated with the principle of…

统计力学 · 物理学 2007-05-23 Q. A. Wang

The efficiency of microscopic heat engines in a thermally heterogenous environment is considered. We show that, as a consequence of the recently discovered entropic anomaly, quasi-static engines, whose efficiency is maximal in a fluid at…

统计力学 · 物理学 2015-06-12 Stefano Bo , Antonio Celani

The construction of efficient thermal engines operating at finite times constitutes a fundamental and timely topic in nonequilibrium thermodynamics. We introduce a strategy for optimizing the performance of Brownian engines, based on a…

Shannon entropy was defined for probability distributions and then its using was expanded to measure the uncertainty of knowledge for systems with complete information. In this article, it is proposed to extend the using of Shannon entropy…

信息论 · 计算机科学 2017-09-15 Vasile Patrascu
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