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As a broadly applied technique in numerous optimization problems, recently, local search has been employed to solve Pseudo-Boolean Optimization (PBO) problem. A representative local search solver for PBO is LSPBO. In this paper, firstly, we…

Artificial Intelligence · Computer Science 2024-08-01 Zhihan Chen , Peng Lin , Hao Hu , Shaowei Cai

Pseudo-Boolean Optimization (PBO) provides a powerful framework for modeling combinatorial problems through pseudo-Boolean (PB) constraints. Local search solvers have shown excellent performance in PBO solving, and their efficiency is…

Artificial Intelligence · Computer Science 2025-09-05 Jinyuan Li , Yi Chu , Yiwen Sun , Mengchuan Zou , Shaowei Cai

MaxSAT is an optimization version of the famous NP-complete Satisfiability problem (SAT). Algorithms for MaxSAT mainly include complete solvers and local search incomplete solvers. In many complete solvers, once a better solution is found,…

Artificial Intelligence · Computer Science 2024-01-22 Jiongzhi Zheng , Zhuo Chen , Chu-Min Li , Kun He

The Pseudo-Boolean Optimization (PBO) and Maximum Satisfiability (MaxSAT) problems are natural optimization extensions of Boolean Satisfiability (SAT). In the recent past, different algorithms have been proposed for PBO and for MaxSAT,…

Artificial Intelligence · Computer Science 2009-03-06 Vasco Manquinho , Joao Marques-Silva , Jordi Planes

Local search is a fundamental optimization technique that is both widely used in practice and deeply studied in theory, yet its computational complexity remains poorly understood. The traditional frameworks, PLS and the standard algorithm…

Computational Complexity · Computer Science 2026-01-05 Robert Ganian , Hung P. Hoang , Christian Komusiewicz , Nils Morawietz

Optimizing an expensive-to-query function is a common task in science and engineering, where it is beneficial to keep the number of queries to a minimum. A popular strategy is Bayesian optimization (BO), which leverages probabilistic models…

Machine Learning · Computer Science 2019-07-05 Willie Neiswanger , Kirthevasan Kandasamy , Barnabas Poczos , Jeff Schneider , Eric Xing

Local search is an important class of incomplete algorithms for solving Distributed Constraint Optimization Problems (DCOPs) but it often converges to poor local optima. While Generalized Distributed Breakout Algorithm (GDBA) provides a…

Artificial Intelligence · Computer Science 2026-01-13 Yanchen Deng , Xinrun Wang , Bo An

This paper proposes a new framework for providing approximation guarantees of local search algorithms. Local search is a basic algorithm design technique and is widely used for various combinatorial optimization problems. To analyze local…

Data Structures and Algorithms · Computer Science 2020-06-03 Kaito Fujii

Bayesian optimization (BO) is a sequential approach for optimizing black-box objective functions using zeroth-order noisy observations. In BO, Gaussian processes (GPs) are employed as probabilistic surrogate models to estimate the objective…

Machine Learning · Computer Science 2025-04-02 Dongwon Kim , Matteo Zecchin , Sangwoo Park , Joonhyuk Kang , Osvaldo Simeone

A Pseudo-Boolean (PB) constraint is a linear inequality constraint over Boolean literals. One of the popular, efficient ideas used to solve PB-problems (a set of PB-constraints) is to translate them to SAT instances (encodings) via, for…

Data Structures and Algorithms · Computer Science 2023-05-09 Michał Karpiński , Marek Piotrów

We propose a version of WalkSAT algorithm, named as BetaWalkSAT. This method uses probabilistic reasoning for biasing the starting state of the local search algorithm. Beta distribution is used to model the belief over boolean values of the…

Artificial Intelligence · Computer Science 2019-12-05 Reazul Hasan Russel

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…

Data Structures and Algorithms · Computer Science 2025-12-16 Yasuaki Kobayashi , Kazuhiro Kurita , Yutaro Yamaguchi

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…

Machine Learning · Computer Science 2023-05-22 Jonas K. Falkner , Daniela Thyssens , Ahmad Bdeir , Lars Schmidt-Thieme

In this paper, an improved multimodal optimization (MMO) algorithm,called LSEPSO,has been proposed. LSEPSO combined Electrostatic Particle Swarm Optimization (EPSO) algorithm and a local search method and then made some modification on…

Artificial Intelligence · Computer Science 2014-10-09 Taymaz Rahkar-Farshi , Sara Behjat-Jamal , Mohammad-Reza Feizi-Derakhshi

Local search algorithms and iterated local search algorithms are a basic technique. Local search can be a stand along search methods, but it can also be hybridized with evolutionary algorithms. Recently, it has been shown that it is…

Artificial Intelligence · Computer Science 2016-01-29 Francisco Chicano , Darrell Whitley , Renato Tinos

Boolean optimization finds a wide range of application domains, that motivated a number of different organizations of Boolean optimizers since the mid 90s. Some of the most successful approaches are based on iterative calls to an NP oracle,…

Artificial Intelligence · Computer Science 2011-09-14 Antonio Morgado , Joao Marques-Silva

Optimization problems aim to find the optimal solution, which is becoming increasingly complex and difficult to solve. Traditional evolutionary optimization methods always overlook the granular characteristics of solution space. In the real…

Machine Learning · Computer Science 2025-02-19 Shuyin Xia , Xinyu Lin , Guan Wang , De-Gang Chen , Sen Zhao , Guoyin Wang , Jing Liang

Local search is a successful approach for solving combinatorial optimization and constraint satisfaction problems. With the progressing move toward multi and many-core systems, GPUs and the quest for Exascale systems, parallelism has become…

Programming Languages · Computer Science 2013-05-13 Rui Machado , Salvador Abreu , Daniel Diaz

Local Bayesian optimization is a promising practical approach to solve the high dimensional black-box function optimization problem. Among them is the approximated gradient class of methods, which implements a strategy similar to gradient…

Machine Learning · Computer Science 2024-05-27 Zheyi Fan , Wenyu Wang , Szu Hui Ng , Qingpei Hu

Bayesian optimization (BO) is a popular global optimization scheme for sample-efficient optimization in domains with expensive function evaluations. The existing BO techniques are capable of finding a single global optimum solution.…

Optimization and Control · Mathematics 2023-08-08 Yongsheng Mei , Tian Lan , Mahdi Imani , Suresh Subramaniam
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