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This paper focuses on relaxing the excitation conditions for the adaptive control of uncertain nonlinear systems. By adopting the spectral decomposition technique, a linear regression equation (LRE) is constructed to quantitatively collect…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Jiajun Shen , Wei Wang , Changyun Wen , Jinhu Lu

An efficient simulation framework is proposed to model collective emission in disordered ensembles of quantum emitters. Using a cumulant expansion approach, the computational complexity scales polynomially as opposed to exponentially with…

Optics · Physics 2025-12-17 Qingyi Zhou , Wenxin Wu , Maryam Zahedian , Zongfu Yu , Jennifer T. Choy

Nonresponse after probability sampling is a universal challenge in survey sampling, often necessitating adjustments to mitigate sampling and selection bias simultaneously. This study explored the removal of bias and effective utilization of…

Methodology · Statistics 2025-11-13 Kosuke Morikawa , Kenji Beppu , Wataru Aida

Random non-commutative geometries are a novel approach to taking a non-perturbative path integral over geometries. They were introduced in arxiv.org/abs/1510.01377, where a first examination was performed. During this examination we found…

General Relativity and Quantum Cosmology · Physics 2017-06-14 Lisa Glaser

We consider a model-based approach to perform batch off-policy evaluation in reinforcement learning. Our method takes a mixture-of-experts approach to combine parametric and non-parametric models of the environment such that the final value…

Machine Learning · Computer Science 2020-02-19 Omer Gottesman , Yao Liu , Scott Sussex , Emma Brunskill , Finale Doshi-Velez

State estimation aims at approximately reconstructing the solution $u$ to a parametrized partial differential equation from $m$ linear measurements, when the parameter vector $y$ is unknown. Fast numerical recovery methods have been…

Numerical Analysis · Mathematics 2020-11-25 Albert Cohen , Wolfgang Dahmen , Olga Mula , James Nichols

The simulation of out-of-equilibrium dissipative quantum many body systems is a problem of fundamental interest to a number of fields in physics, ranging from condensed matter to cosmology. For unitary systems, tensor network methods have…

Quantum Physics · Physics 2019-10-30 Edward Gillman , Federico Carollo , Igor Lesanovsky

Estimation of physical observables for unknown quantum states is an important problem that underlies a wide range of fields, including quantum information processing, quantum physics, and quantum chemistry. In the context of quantum…

Quantum Physics · Physics 2024-05-21 Yuma Nakamura , Yoshichika Yano , Nobuyuki Yoshioka

Experimental studies of synthetic quantum matter are necessarily restricted to approximate ground states prepared on finite-size quantum simulators. In general, this limits their reliability for strongly correlated systems, for instance, in…

We show how thermodynamic properties of molecular models can be computed over a large, multidimensional parameter space by combining multistate reweighting analysis with a linear basis function approach. This approach reduces the…

Chemical Physics · Physics 2016-05-18 Levi N. Naden , Michael R. Shirts

Complex multidimensional stochastic dynamics can be approximately described as diffusion along reaction coordinates (RCs). If the RCs are optimally selected, the diffusive model allows one to compute important properties of the dynamics…

Chemical Physics · Physics 2023-04-12 Sergei V. Krivov

Calculating free energies is an important and notoriously difficult task for molecular simulations. The rapid increase in computational power has made it possible to probe increasingly complex systems, yet extracting accurate free energies…

Chemical Physics · Physics 2014-07-29 Viveca Lindahl , Jack Lidmar , Berk Hess

Measurements in many-body quantum systems can generate non-trivial phenomena, such as preparation of long-range entangled states, dynamical phase transitions, or measurement-altered criticality. Here, we introduce a new measurement scheme…

Quantum Physics · Physics 2025-10-22 Alexey Milekhin , Sara Murciano

The equivalent split-circuit formulation is a novel approach that has recently been applied to a range of power system related problems. As a result, a linear and a nonlinear method for power system state estimation with simultaneous…

Signal Processing · Electrical Eng. & Systems 2019-07-24 Aleksandar Jovicic , Marko Jereminov , Larry Pileggi , Gabriela Hug

The computer simulation of many molecular processes is complicated by long time scales caused by rare transitions between long-lived states. Here, we propose a new approach to simulate such rare events, which combines transition path…

Computational Physics · Physics 2023-03-23 Sebastian Falkner , Alessandro Coretti , Christoph Dellago

We propose a new method to design adaptation algorithms that guarantee a certain prescribed level of performance and are applicable to systems with nonconvex parameterization. The main idea behind the method is, given the desired…

Optimization and Control · Mathematics 2007-05-23 I. Y. Tyukin , D. V. Prokhorov , Cees van Leeuwen

Mean-field, ensemble-chain, and adaptive samplers have historically been viewed as distinct approaches to Monte Carlo sampling. In this paper, we present a unifying {two-system} framework that brings all three under one roof. In our…

Computation · Statistics 2026-05-13 James Chok , Myung Won Lee , Daniel Paulin , Geoffrey M. Vasil

Non-equilibrium systems lack an explicit characterisation of their steady state like the Boltzmann distribution for equilibrium systems. This has drastic consequences for the inference of parameters of a model when its dynamics lacks…

Statistical Mechanics · Physics 2016-11-15 Simon L. Dettmer , H. Chau Nguyen , Johannes Berg

A major challenge in nonadiabatic molecular dynamics is to automatically and objectively identify the key reaction coordinates that drive molecules toward distinct excited-state decay channels. Traditional manual analyses are inefficient…

Chemical Physics · Physics 2025-11-18 Hangxu Liu , Yifei Zhu , Zhenggang Lan

Dynamic and evolving operational and economic environments present significant challenges for decision-making. We explore a simulation optimization problem characterized by non-stationary input distributions with regime-switching dynamics…

Optimization and Control · Mathematics 2025-08-19 Jianglin Xia , Haowei Wang , Songhao Wang , Szu Hui Ng
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