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The classical problem of quickest change detection is studied with an additional constraint on the cost of observations used in the detection process. The change point is modeled as an unknown constant, and minimax formulations are proposed…

统计理论 · 数学 2012-11-19 Taposh Banerjee , Venugopal V. Veeravalli

This research considers the ranking and selection with input uncertainty. The objective is to maximize the posterior probability of correctly selecting the best alternative under a fixed simulation budget, where each alternative is measured…

最优化与控制 · 数学 2023-05-15 Hui Xiao , Zhihong Wei

When engineering microscopic machines, increasing efficiency can often come at a price of reduced reliability due to the impact of stochastic fluctuations. Here we develop a general method for performing multi-objective optimisation of…

量子物理 · 物理学 2021-01-04 Harry J. D. Miller , Mohammad Mehboudi

A soft-max function has two main efficiency measures: (1) approximation - which corresponds to how well it approximates the maximum function, (2) smoothness - which shows how sensitive it is to changes of its input. Our goal is to identify…

机器学习 · 计算机科学 2026-01-01 Alessandro Epasto , Mohammad Mahdian , Vahab Mirrokni , Manolis Zampetakis

We derive a fluctuation theorem for generalized work distributions, related to bijective mappings of the phase spaces of two physical systems, and use it to derive a two-sided constraint maximum likelihood estimator of their free energy…

统计力学 · 物理学 2009-01-15 A. M. Hahn , H. Then

We present a simple, robust and efficient method for varying the parameters in a many-body wave function to optimize the expectation value of the energy. The effectiveness of the method is demonstrated by optimizing the parameters in…

其他凝聚态物理 · 物理学 2016-08-31 C. J. Umrigar , Claudia Filippi

The note studies the problem of selecting a good enough subset out of a finite number of alternatives under a fixed simulation budget. Our work aims to maximize the posterior probability of correctly selecting a good subset. We formulate…

最优化与控制 · 数学 2023-05-09 Gongbo Zhang , Bin Chen , Qing-shan Jia , Yijie Peng

Miminizing errors of the physical parameters of interest should be the ultimate goal of any event selection optimization in high energy physics data analysis involving parameter determination. Quick and reliable error estimation is a…

高能物理 - 实验 · 物理学 2009-04-29 Yuehong Xie

Exact free energy minimization is a convex optimization problem that is usually approximated with stochastic sampling methods. Deterministic approximations have been less successful because many desirable properties have been difficult to…

计算物理 · 物理学 2016-03-17 Jonathan E. Moussa

We study a finite-time cyclic copy protocol that creates persisting correlations between a memory and a data bit. The average work to copy the two states of the data bit consists of the mutual information created between the memory and data…

统计力学 · 物理学 2025-04-09 Daan Mulder , Pieter Rein ten Wolde , Thomas E. Ouldridge

We describe a strategy to improve the efficiency of free energy estimates by reducing dissipation in nonequilibrium Monte Carlo simulations. This strategy generalizes the targeted free energy perturbation approach [Phys. Rev. E. 65, 046122,…

统计力学 · 物理学 2015-05-27 Suriyanarayanan Vaikuntanathan , Christopher Jarzynski

Optimal observables are known to lead to minimal statistical errors on parameters for a given normalised event distribution of a physics reaction. Thereby all statistical correlations are taken into account. Therefore, on the one hand they…

高能物理 - 唯象学 · 物理学 2011-09-13 Otto Nachtmann , Felix Nagel

We explicitly solve the optimal switching problem for one-dimensional diffusions by directly employing the dynamic programming principle and the excessive characterization of the value function. The shape of the value function and the…

最优化与控制 · 数学 2009-05-25 Erhan Bayraktar , Masahiko Egami

We consider many-body problems in classical mechanics where a wide range of time scales limits what can be computed. We apply the method of optimal prediction to obtain equations which are easier to solve numerically. We demonstrate by…

数值分析 · 数学 2025-10-20 Anton Kast

Information processing machines at the nanoscales are unavoidably affected by thermal fluctuations. Efficient design requires understanding how nanomachines can operate at minimal energy dissipation. In this letter we focus on mechanical…

统计力学 · 物理学 2015-03-17 Paolo Muratore-Ginanneschi , Kay Schwieger

We present a method for determining optimal modes of operation for autonomously oscillating systems with uncertain parameters. In a typical application of the method, a nonlinear dynamical system is optimized with respect to an economic…

动力系统 · 数学 2013-08-20 Darya Kastsian , Martin Mönnigmann

An energy efficient use of large scale sensor networks necessitates activating a subset of possible sensors for estimation at a fusion center. The problem is inherently combinatorial; to this end, a set of iterative, randomized algorithms…

信息论 · 计算机科学 2017-09-13 Arpan Chattopadhyay , Urbashi Mitra

Many power system operation and planning problems use the DC power flow approximation to address computational challenges from the nonlinearity of the AC power flow equations. The DC power flow simplifies the AC power flow equations to a…

系统与控制 · 电气工程与系统科学 2024-03-13 Babak Taheri , Daniel K. Molzahn

Stochastic restart may drastically reduce the expected run time of a computer algorithm, expedite the completion of a complex search process, or increase the turnover rate of an enzymatic reaction. These diverse first-passage-time (FPT)…

统计力学 · 物理学 2020-10-30 Shlomi Reuveni

The present paper proposes an adaptive biasing potential for the computation of free energy landscapes. It is motivated by statistical learning arguments and unifies the tasks of biasing the molecular dynamics to escape free energy wells…

数学物理 · 物理学 2018-03-05 I. Bilionis , P. S. Koutsourelakis