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This paper addresses the end-to-end sample complexity bound for learning in closed loop the state estimator-based robust H2 controller for an unknown (possibly unstable) Linear Time Invariant (LTI) system, when given a fixed state-feedback…

Systems and Control · Electrical Eng. & Systems 2022-12-23 Yifei Zhang , Sourav Kumar Ukil , Andrei Sperila , Serban Sabau

Due to significant manufacturing process variations, the performance of integrated circuits (ICs) has become increasingly uncertain. Such uncertainties must be carefully quantified with efficient stochastic circuit simulators. This paper…

Computational Engineering, Finance, and Science · Computer Science 2014-09-18 Zheng Zhang , Ibrahim , M. Elfadel , Luca Daniel

Because of new telescopes that will dramatically improve our knowledge of the interstellar medium, chemical models will have to be used to simulate the chemistry of many regions with diverse properties. To make these models more robust, it…

Astrophysics of Galaxies · Physics 2011-03-16 V. Wakelam , E. Herbst , J. Le Bourlot , F. Hersant , F. Selsis , S. Guilloteau

Inverse Uncertainty Quantification (UQ) is a process to quantify the uncertainties in random input parameters while achieving consistency between code simulations and physical observations. In this paper, we performed inverse UQ using an…

Applications · Statistics 2018-06-22 Xu Wu , Tomasz Kozlowski , Hadi Meidani , Koroush Shirvan

Thermodynamic uncertainty relation, quantifying a trade-off among average current, the associated fluctuation (precision), and entropy production (cost), has been formulated in nonequilibrium steady state and various stochastic systems.…

Mesoscale and Nanoscale Physics · Physics 2022-03-31 Jincheng Lu , Zi Wang , Jiebin Peng , Chen Wang , Jian-Hua Jiang , Jie Ren

Uncertainties influencing the dynamical systems pose a significant challenge in estimating the achievable performance of a controller aiming to control such uncertain systems. When the uncertainties are of stochastic nature, obtaining hard…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Venkatraman Renganathan

This work suggests several methods of uncertainty treatment in multiscale modelling and describes their application to a system of coupled turbulent transport simulations of a tokamak plasma. We propose a method to quantify the usually…

Plasma Physics · Physics 2023-07-10 Yehor Yudin , David Coster , Udo von Toussaint , Frank Jenko

Realistic simulation of quantum materials is a central goal of quantum computation. Although quantum processors have advanced rapidly in scale and fidelity, it has remained unclear whether pre-fault-tolerant devices can perform…

Climate policy modelling is a key tool for assessing mitigation strategies in complex systems, where uncertainty is inherent and unavoidable. We present a general methodology for extensive uncertainty analysis in this field. While other…

Applications · Statistics 2026-05-15 Ian J. Burton , Femke J. M. M. Nijsse , James M. Salter

The many-body nature of nuclear physics problems poses significant computational challenges. These challenges become even more pronounced when studying the resonance states of nuclear systems, which are governed by the non-Hermitian…

Quantum Physics · Physics 2025-04-17 Ashutosh Singh , Pooja Siwach , P. Arumugam

We investigate, how finite temperature influences quantum coherence in multipartite open systems by analyzing a tripartite spin boson model subjected to non-Markovian dephasing. Two distinct environmental configurations are considered viz.…

Quantum Physics · Physics 2026-03-12 Pranav Perumalsamy , Abhijit Mandal , Sovik Roy , Md Manirul Ali

Wind gusts, being inherently stochastic, can significantly influence the safety and performance of aircraft. This study investigates a three-dimensional uncertainty quantification (UQ) problem to explore how uncertainties in gust and flight…

Computational Engineering, Finance, and Science · Computer Science 2025-01-08 Bingran Wang , Michael Warner , Aoran Tian , Luca Scotzniovsky , John T. Hwang

Uncertainty Quantification (UQ) is a booming discipline for complex computational models based on the analysis of robustness, reliability and credibility. UQ analysis for nonlinear crash models with high dimensional outputs presents…

Computational Engineering, Finance, and Science · Computer Science 2021-03-31 Marc Rocas , Alberto García-González , Xabier Larrayoz , Pedro Díez

This study proposes a high-order multi-scale method tailored for time-dependent nonlinear thermo-electro-mechanical coupling problems of composite structures with highly spatial heterogeneity, which incorporate temperature-dependent…

Numerical Analysis · Mathematics 2026-04-22 Hao Dong

Thermodynamic parameters such as temperature and pressure can be defined from the statistical behavior of a system. Therefore, thermal fluctuation is an inseparable characteristic of these parameters which eventually finds its way into…

Computational Physics · Physics 2017-02-28 Alek Bedroya , Mahmud Bahmanabadi

The ability to predict the composition- and temperature-dependent stability of refractory complex concentrated alloys (RCCAs) is vital to the design of high-temperature structural alloys. Here, we present a model based on first-principles…

Materials Science · Physics 2022-10-27 Zhaohan Zhang , Mu Li , John Cavin , Katharine Flores , Rohan Mishra

We argue that specific fluctuations observed in high-energy nuclear collisions can be attributed to intrinsic fluctuations of temperature of the hadronizing system formed in such processes and therefore can be described by the same…

High Energy Physics - Phenomenology · Physics 2011-11-28 Grzegorz Wilk , Zbigniew Wlodarczyk

Although ammonia is a widely used interstellar thermometer, the estimation of its rotational and kinetic temperatures can be affected by the blended Hyperfine Components (HFCs). We developed a new recipe, referred to as the HyperFine Group…

Astrophysics of Galaxies · Physics 2020-11-03 Shen Wang , Zhiyuan Ren , Di Li , Jens Kauffmann , Qizhou Zhang , Hui Shi

The uncertainty relation is a fundamental limit in quantum mechanics and is of great importance to quantum information processing as it relates to quantum precision measurement. Due to interactions with the surrounding environment, a…

Quantum Physics · Physics 2022-10-26 Dong Wang , Ai-Jun Huang , Ross D. Hoehn , Fei Ming , Wen-Yang Sun , Jia-Dong Shi , Liu Ye , Sabre Kais

Fluctuation theorems provide a correspondence between properties of quantum systems in thermal equilibrium and a work distribution arising in a non-equilibrium process that connects two quantum systems with Hamiltonians $H_0$ and…

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