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In practice, objective functions of real-time control systems can have multiple local minimums or can dramatically change over the function space, making them hard to optimize. To efficiently optimize such systems, in this paper, we develop…

最优化与控制 · 数学 2022-01-26 Haowei Wang , Songhao Wang , Qun Meng , Szu Hui Ng

Constrained Optimum Path (COP) problems appear in many real-life applications, especially on communication networks. Some of these problems have been considered and solved by specific techniques which are usually difficult to extend. In…

人工智能 · 计算机科学 2009-10-08 Quang Dung Pham , Yves Deville , Pascal Van Hentenryck

Combinatorial optimization problems are encountered in many practical contexts such as logistics and production, but exact solutions are particularly difficult to find and usually NP-hard for considerable problem sizes. To compute…

机器学习 · 计算机科学 2023-05-22 Jonas K. Falkner , Daniela Thyssens , Ahmad Bdeir , Lars Schmidt-Thieme

This paper presents a methodology for integrating machine learning techniques into metaheuristics for solving combinatorial optimization problems. Namely, we propose a general machine learning framework for neighbor generation in…

最优化与控制 · 数学 2022-12-23 Defeng Liu , Vincent Perreault , Alain Hertz , Andrea Lodi

Local search has recently been applied to SMT problems over various arithmetic theories. Among these, nonlinear real arithmetic poses special challenges due to its uncountable solution space and potential need to solve higher-degree…

符号计算 · 计算机科学 2023-11-27 Zhonghan Wang , Bohua Zhan , Bohan Li , Shaowei Cai

Over the past two decades, research in evolutionary multi-objective optimization has predominantly focused on continuous domains, with comparatively limited attention given to multi-objective combinatorial optimization problems (MOCOPs).…

神经与进化计算 · 计算机科学 2026-02-06 Xuepeng Ren , Maocai Wang , Guangming Dai , Zimin Liang , Qianrong Liu , Shengxiang Yang , Miqing Li

The class PLS (Polynomial Local Search) captures the complexity of finding a solution that is locally optimal and has proven to be an important concept in the theory of local search. It has been shown that local search versions of various…

数据结构与算法 · 计算机科学 2025-12-16 Yasuaki Kobayashi , Kazuhiro Kurita , Yutaro Yamaguchi

Iterative algorithms aimed at solving some problems are discussed. For certain problems, such as finding a common point in the intersection of a finite number of convex sets, there often exist iterative algorithms that impose very little…

最优化与控制 · 数学 2010-09-28 Y. Censor , R. Davidi , G. T. Herman

This paper surveys the recent attempts at leveraging machine learning to solve constrained optimization problems. It focuses on surveying the work on integrating combinatorial solvers and optimization methods with machine learning…

机器学习 · 计算机科学 2021-03-31 James Kotary , Ferdinando Fioretto , Pascal Van Hentenryck , Bryan Wilder

The motivation of this work is to illustrate the efficiency of some often overlooked alternatives to deal with optimization problems in systems and control. In particular, we will consider a problem for which an iterative linear matrix…

最优化与控制 · 数学 2011-07-05 Emile Simon , Vincent Wertz

A quantum algorithm for general combinatorial search that uses the underlying structure of the search space to increase the probability of finding a solution is presented. This algorithm shows how coherent quantum systems can be matched to…

量子物理 · 物理学 2009-10-30 Tad Hogg

Bayesian optimization offers a flexible framework to optimize an objective function that is expensive to be evaluated. A Bayesian optimizer iteratively queries the function values on its carefully selected points. Subsequently, it makes a…

机器学习 · 计算机科学 2019-06-25 Yang Li , Yaqiang Yao

Discovering useful temporal abstractions, in the form of options, is widely thought to be key to applying reinforcement learning and planning to increasingly complex domains. Building on the empirical success of the Expert Iteration…

人工智能 · 计算机科学 2023-12-27 Kenny Young , Richard S. Sutton

We study the task of finding good local optima in combinatorial optimization problems. Although combinatorial optimization is NP-hard in general, locally optimal solutions are frequently used in practice. Local search methods however…

机器学习 · 统计学 2020-01-03 Uri Patish , Shimon Ullman

In this article the most fundamental decomposition-based optimization method - block coordinate search, based on the sequential decomposition of problems in subproblems - and building performance simulation programs are used to reason about…

最优化与控制 · 数学 2016-09-12 Gian Luca Brunetti

An approach to the classification problem of machine learning, based on building local classification rules, is developed. The local rules are considered as projections of the global classification rules to the event we want to classify. A…

机器学习 · 计算机科学 2007-05-23 Vladislav Malyshkin , Ray Bakhramov , Andrey Gorodetsky

Among sub-optimal Multi-Agent Path Finding (MAPF) solvers, rule-based algorithms are particularly appealing since they are complete. Even in crowded scenarios, they allow finding a feasible solution that brings each agent to its target,…

多智能体系统 · 计算机科学 2024-10-11 Irene Saccani , Stefano Ardizzoni , Luca Consolini , Marco Locatelli

Local search is a common method for solving combinatorial optimisation problems. We focus on general-purpose local search solvers that accept as input a constraint model - a declarative description of a problem consisting of a set of…

人工智能 · 计算机科学 2025-06-03 Saad Attieh , Nguyen Dang , Christopher Jefferson , Ian Miguel , Peter Nightingale

Algorithms for learning decision trees often include heuristic local-search operations such as (1) adjusting the threshold of a cut or (2) also exchanging the feature of that cut. We study minimizing the number of classification errors by…

机器学习 · 计算机科学 2025-10-15 Juha Harviainen , Frank Sommer , Manuel Sorge

A recent study on the classical Capacitated Vehicle Routing Problem (CVRP) introduced an adaptive version of the widely used Iterated Local Search (ILS) paradigm, hybridized with a path-relinking strategy (PR). The solution method, called…

最优化与控制 · 数学 2025-07-22 Vinícius R. Máximo , Jean-François Cordeau , Mariá C. V. Nascimento