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Evolutionary algorithms based on edge assembly crossover (EAX) constitute some of the best performing incomplete solvers for the well-known traveling salesperson problem (TSP). Often, it is desirable to compute not just a single solution…

Neural and Evolutionary Computing · Computer Science 2021-08-13 Adel Nikfarjam , Jakob Bossek , Aneta Neumann , Frank Neumann

Diversification in a set of solutions has become a hot research topic in the evolutionary computation community. It has been proven beneficial for optimisation problems in several ways, such as computing a diverse set of high-quality…

Neural and Evolutionary Computing · Computer Science 2022-07-29 Adel Nikfarjam , Amirhossein Moosavi , Aneta Neumann , Frank Neumann

The boolean satisfiability (SAT) problem asks whether there exists an assignment of boolean values to the variables of an arbitrary boolean formula making the formula evaluate to True. It is well-known that all NP-problems can be coded as…

Machine Learning · Computer Science 2024-10-22 Christopher R. Serrano , Jonathan Gallagher , Kenji Yamada , Alexei Kopylov , Michael A. Warren

Given a ground set of items, the result diversification problem aims to select a subset with high "quality" and "diversity" while satisfying some constraints. It arises in various real-world artificial intelligence applications, such as…

Neural and Evolutionary Computing · Computer Science 2022-05-10 Chao Qian , Dan-Xuan Liu , Zhi-Hua Zhou

We study the Boolean Satisfiability problem (SAT) in the framework of diversity, where one asks for multiple solutions that are mutually far apart (i.e., sufficiently dissimilar from each other) for a suitable notion of…

Data Structures and Algorithms · Computer Science 2024-12-16 Neeldhara Misra , Harshil Mittal , Ashutosh Rai

We present DeepSAT, a novel end-to-end learning framework for the Boolean satisfiability (SAT) problem. Unlike existing solutions trained on random SAT instances with relatively weak supervision, we propose applying the knowledge of the…

Artificial Intelligence · Computer Science 2023-01-23 Min Li , Zhengyuan Shi , Qiuxia Lai , Sadaf Khan , Shaowei Cai , Qiang Xu

Boolean satisfiability is a propositional logic problem of interest in multiple fields, e.g., physics, mathematics, and computer science. Beyond a field of research, instances of the SAT problem, as it is known, require efficient solution…

Emerging Technologies · Computer Science 2020-11-13 S. R. B. Bearden , Y. R. Pei , M. Di Ventra

The main goal of diversity optimization is to find a diverse set of solutions which satisfy some lower bound on their fitness. Evolutionary algorithms (EAs) are often used for such tasks, since they are naturally designed to optimize…

Neural and Evolutionary Computing · Computer Science 2024-07-15 Denis Antipov , Aneta Neumann , Frank Neumann

Diversity optimization is the class of optimization problems in which we aim to find a diverse set of good solutions. One of the frequently-used approaches to solve such problems is to use evolutionary algorithms that evolve a desired…

Neural and Evolutionary Computing · Computer Science 2025-12-17 Denis Antipov , Aneta Neumann , Frank Neumann , Andrew M. Sutton

In the real world, there exist a class of optimization problems that multiple (local) optimal solutions in the solution space correspond to a single point in the objective space. In this paper, we theoretically show that for such multimodal…

Neural and Evolutionary Computing · Computer Science 2024-06-06 Shengjie Ren , Zhijia Qiu , Chao Bian , Miqing Li , Chao Qian

A boundary evolution Algorithm (BEA) is proposed by simultaneously taking into account the bottom and the high-level crossover and mutation, ie., the boundary of the hierarchical genetic algorithm. Operators and optimal individuals based on…

Neural and Evolutionary Computing · Computer Science 2019-03-06 Zhaoyang Ai , Chaodong Fan , Yingjie Zhang , Huigui Rong , Ze'an Tian , Haibing Fu

This paper explores the enhancement of solution diversity in evolutionary algorithms (EAs) for the maximum matching problem, concentrating on complete bipartite graphs and paths. We adopt binary string encoding for matchings and use Hamming…

Neural and Evolutionary Computing · Computer Science 2024-04-19 Jonathan Gadea Harder , Aneta Neumann , Frank Neumann

This paper describes diff-SAT, an Answer Set and SAT solver which combines regular solving with the capability to use probabilistic clauses, facts and rules, and to sample an optimal world-view (multiset of satisfying Boolean variable…

Artificial Intelligence · Computer Science 2021-01-05 Matthias Nickles

In the area of evolutionary computation the calculation of diverse sets of high-quality solutions to a given optimization problem has gained momentum in recent years under the term evolutionary diversity optimization. Theoretical insights…

Neural and Evolutionary Computing · Computer Science 2021-04-28 Jakob Bossek , Frank Neumann

Diversity plays a crucial role in evolutionary computation. While diversity has been mainly used to prevent the population of an evolutionary algorithm from premature convergence, the use of evolutionary algorithms to obtain a diverse set…

Neural and Evolutionary Computing · Computer Science 2018-02-16 Aneta Neumann , Wanru Gao , Carola Doerr , Frank Neumann , Markus Wagner

Maximum Satisfiability (MaxSAT) is a well-known optimization pro- blem, with several practical applications. The most widely known MAXS AT algorithms are ineffective at solving hard problems instances from practical application domains.…

Artificial Intelligence · Computer Science 2007-12-10 Joao Marques-Silva , Jordi Planes

Evolutionary algorithms (EAs) are general-purpose problem solvers that usually perform an unbiased search. This is reasonable and desirable in a black-box scenario. For combinatorial optimization problems, often more knowledge about the…

Neural and Evolutionary Computing · Computer Science 2020-04-23 Vahid Roostapour , Jakob Bossek , Frank Neumann

Creating diverse sets of high quality solutions has become an important problem in recent years. Previous works on diverse solutions problems consider solutions' objective quality and diversity where one is regarded as the optimization goal…

Neural and Evolutionary Computing · Computer Science 2024-01-17 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

This paper reviews the recent literature on solving the Boolean satisfiability problem (SAT), an archetypal NP-complete problem, with the help of machine learning techniques. Despite the great success of modern SAT solvers to solve large…

Artificial Intelligence · Computer Science 2023-10-25 Wenxuan Guo , Junchi Yan , Hui-Ling Zhen , Xijun Li , Mingxuan Yuan , Yaohui Jin

In Evolutionary Robotics a population of solutions is evolved to optimize robots that solve a given task. However, in traditional Evolutionary Algorithms, the population of solutions tends to converge to local optima when the problem is…

Robotics · Computer Science 2020-08-06 Jørgen Nordmoen , Frank Veenstra , Kai Olav Ellefsen , Kyrre Glette
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