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Many high dimensional optimization problems can be reformulated into a problem of finding theoptimal state path under an equivalent state space model setting. In this article, we present a general emulation strategy for developing a state…

统计方法学 · 统计学 2019-11-19 Chencheng Cai , Rong Chen

Stochastic Unit Commitment (SUC) has been proposed to manage the uncertainties driven by renewable integration, but it leads to significant computational complexity. When accelerated by Benders Decomposition (BD), the master problem becomes…

量子物理 · 物理学 2026-02-25 Wei Hong , Wangkun Xu , Fei Teng

I describe how real quantum annealers may be used to perform local (in state space) searches around specified states, rather than the global searches traditionally implemented in the quantum annealing algorithm. Such protocols will have…

量子物理 · 物理学 2017-06-26 Nicholas Chancellor

Beam parameter optimization in accelerators involves multiple, sometimes competing objectives. Condensing these individual objectives into a single figure of merit unavoidably results in a bias towards particular outcomes, in absence of…

加速器物理 · 物理学 2022-12-26 Faran Irshad , Stefan Karsch , Andreas Döpp

In Bayesian optimization (BO) for expensive black-box optimization tasks, acquisition function (AF) guides sequential sampling and plays a pivotal role for efficient convergence to better optima. Prevailing AFs usually rely on artificial…

机器学习 · 计算机科学 2022-10-04 Zijing Liu , Xiyao Qu , Xuejun Liu , Hongqiang Lyu

Quantum annealing has garnered significant attention as meta-heuristics inspired by quantum physics for combinatorial optimization problems. Among its many applications, nonnegative/binary matrix factorization stands out for its complexity…

量子物理 · 物理学 2025-01-07 Renichiro Haba , Masayuki Ohzeki , Kazuyuki Tanaka

Maintaining software quality is crucial in the dynamic landscape of software development. Regression testing ensures that software works as expected after changes are implemented. However, re-executing all test cases for every modification…

软件工程 · 计算机科学 2025-01-29 Antonio Trovato , Manuel De Stefano , Fabiano Pecorelli , Dario Di Nucci , Andrea De Lucia

To optimize efficiently over discrete data and with only few available target observations is a challenge in Bayesian optimization. We propose a continuous relaxation of the objective function and show that inference and optimization can be…

The feasibility pump algorithm is an efficient primal heuristic for finding feasible solutions to mixed-integer programming problems. The algorithm suffers mainly from fast convergence to local optima. In this paper, we investigate the…

最优化与控制 · 数学 2019-06-18 Nicolas Pradignac , Maliheh Aramon , Helmut G. Katzgraber

Global optimization heuristics are popular to optimize hard non-convex problems. Despite their irrefutably large cost-to-solution, in the lack of other working greedy or convex approaches, global optimization algorithms remain the…

最优化与控制 · 数学 2025-02-24 Kayo Gonçalves-e-Silva , Samuel Xavier-de-Souza

Optimizing the training of a machine learning pipeline helps in reducing training costs and improving model performance. One such optimizing strategy is quantum annealing, which is an emerging computing paradigm that has shown potential in…

量子物理 · 物理学 2021-06-08 Rajdeep Kumar Nath , Himanshu Thapliyal , Travis S. Humble

A generic algorithm for the extraction of probabilistic (Bayesian) information about model parameters from data is presented. The algorithm propagates an ensemble of particles in the product space of model parameters and outputs. Each…

统计计算 · 统计学 2015-09-18 Carlo Albert

Bayesian optimization is a class of data efficient model based algorithms typically focused on global optimization. We consider the more general case where a user is faced with multiple problems that each need to be optimized conditional on…

机器学习 · 统计学 2020-11-04 Michael Pearce , Janis Klaise , Matthew Groves

Predicting software defects early in the development process not only enhances the quality and reliability of the software but also decreases the cost of development. A wide range of machine learning techniques can be employed to create…

软件工程 · 计算机科学 2024-10-23 Ashis Kumar Mandal , Md Nadim , Chanchal K. Roy , Banani Roy , Kevin A. Schneider

We develop an optimization algorithm, using simulated annealing for the quantification of patterns in astronomical data based on techniques developed for robotic vision applications. The methodology falls in the category of cost…

天体物理仪器与方法 · 物理学 2020-09-09 Maria Chira , Manolis Plionis

Quantum annealing is typically regarded as a tool for combinatorial optimization, but its coherent dynamics also offer potential for machine learning. We present a model that encodes classical data into an Ising Hamiltonian, evolves it on a…

Local quantum annealing (LQA), an iterative algorithm, is designed to solve combinatorial optimization problems. It draws inspiration from QA, which utilizes adiabatic time evolution to determine the global minimum of a given objective…

量子物理 · 物理学 2025-01-07 Shunta Arai , Satoshi Takabe

It is widely acknowledged that hyperparameter selection plays a critical role in the effectiveness of sparse optimization problems. The bilevel optimization provides a robust framework for addressing this issue, but these existing methods…

最优化与控制 · 数学 2026-03-11 Yunhai Xiao , Anqi Liu , Peili Li , Yanyun Ding

Active learning is an effective technique for reducing the labeling cost by improving data efficiency. In this work, we propose a novel batch acquisition strategy for active learning in the setting where the model training is performed in a…

机器学习 · 计算机科学 2020-10-20 Zalán Borsos , Marco Tagliasacchi , Andreas Krause

Convex quadratic programs (QPs) constitute a fundamental computational primitive across diverse domains including financial optimization, control systems, and machine learning. The alternating direction method of multipliers (ADMM) has…

最优化与控制 · 数学 2025-05-15 Xi Gao , Jinxin Xiong , Linxin Yang , Akang Wang , Weiwei Xu , Jiang Xue