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Multi-modal multi-objective optimization is to locate (almost) equivalent Pareto optimal solutions as many as possible. While decomposition-based evolutionary algorithms have good performance for multi-objective optimization, they are…

Neural and Evolutionary Computing · Computer Science 2020-10-01 Ryoji Tanabe , Hisao Ishibuchi

Expensive multi-objective optimization problems can be found in many real-world applications, where their objective function evaluations involve expensive computations or physical experiments. It is desirable to obtain an approximate Pareto…

Neural and Evolutionary Computing · Computer Science 2022-10-18 Xi Lin , Zhiyuan Yang , Xiaoyuan Zhang , Qingfu Zhang

Although the population size is an important parameter in evolutionary multi-objective optimization (EMO), little is known about its influence on preference-based EMO (PBEMO). The effectiveness of an unbounded external archive (UA) in PBEMO…

Neural and Evolutionary Computing · Computer Science 2023-04-10 Ryoji Tanabe

When and why can evolutionary multi-objective optimization (EMO) algorithms cover the entire Pareto set? That is a major concern for EMO researchers and practitioners. A recent theoretical study revealed that (roughly speaking) if the…

Neural and Evolutionary Computing · Computer Science 2018-04-20 Naoki Hamada , Keisuke Goto

Existing studies on dynamic multi-objective optimization focus on problems with time-dependent objective functions, while the ones with a changing number of objectives have rarely been considered in the literature. Instead of changing the…

Neural and Evolutionary Computing · Computer Science 2017-02-20 Renzhi Chen , Ke Li , Xin Yao

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

The evolutionary diversity optimization aims at finding a diverse set of solutions which satisfy some constraint on their fitness. In the context of multi-objective optimization this constraint can require solutions to be Pareto-optimal. In…

Neural and Evolutionary Computing · Computer Science 2023-07-17 Denis Antipov , Aneta Neumann , Frank Neumann

Choices in scientific research and management require balancing multiple, often competing objectives.Multiple-objective optimization (MOO) provides a unifying framework for solving multiple objective problems. Model selection is a critical…

Applications · Statistics 2018-10-26 Perry Williams , William Kendall , Mevin Hooten

Evolutionary Algorithms (EAs) have become the most popular tool for solving widely-existed multi-objective optimization problems. In Multi-Objective EAs (MOEAs), there is increasing interest in using an archive to store non-dominated…

Neural and Evolutionary Computing · Computer Science 2025-12-10 Shengjie Ren , Zimin Liang , Miqing Li , Chao Qian

We consider a multi-objective optimization problem with objective functions that are expensive to evaluate. The decision maker (DM) has unknown preferences, and so the standard approach is to generate an approximation of the Pareto front…

Machine Learning · Computer Science 2021-05-28 Juan Ungredda , Mariapia Marchi , Teresa Montrone , Juergen Branke

Characteristics of an evolutionary multi-objective optimization (EMO) algorithm can be explained using its best solution set. For example, the best solution set for SMS-EMOA is the same as the optimal distribution of solutions for…

Neural and Evolutionary Computing · Computer Science 2025-04-25 Hisao Ishibuchi , Lie Meng Pang

Problems defined on binary decision spaces have been intensively studied in the theory of multi-objective evolutionary algorithms (MOEAs). In contrast, no mathematical runtime analyses exist so far for MOEAs dealing with decision variables…

Neural and Evolutionary Computing · Computer Science 2026-05-15 Mingfeng Li , Zheng Cheng , Weijie Zheng , Benjamin Doerr

In this paper, we present a distributed implementation of a network based multi-objective evolutionary algorithm, called EMO, by using Offspring. Network based evolutionary algorithms have proven to be effective for multi-objective problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-03-10 Christian Vecchiola , Michael Kirley , Rajkumar Buyya

Real-world problems are often comprised of many objectives and require solutions that carefully trade-off between them. Current approaches to many-objective optimization often require challenging assumptions, like knowledge of the…

Neural and Evolutionary Computing · Computer Science 2023-07-07 Jackson Dean , Nick Cheney

Evolutionary algorithms have been successful in solving multi-objective optimization problems (MOPs). However, as a class of population-based search methodology, evolutionary algorithms require a large number of evaluations of the objective…

Neural and Evolutionary Computing · Computer Science 2024-08-16 Xueming Yan , Yaochu Jin

Finding the optimal parameter setting (i.e. the optimal population size, the optimal mutation probability, the optimal evolutionary model etc) for an Evolutionary Algorithm (EA) is a difficult task. Instead of evolving only the parameters…

Neural and Evolutionary Computing · Computer Science 2021-09-29 Mihai Oltean , Crina Groşan

Since around 2000, it has been considered that elitist evolutionary multi-objective optimization algorithms (EMOAs) always outperform non-elitist EMOAs. This paper revisits the performance of non-elitist EMOAs for bi-objective continuous…

Neural and Evolutionary Computing · Computer Science 2020-10-01 Ryoji Tanabe , Hisao Ishibuchi

In scenarios where multiple decision-makers operate within a common decision space, each focusing on their own multi-objective optimization problem (e.g., bargaining games), the problem can be modeled as a multi-party multi-objective…

Neural and Evolutionary Computing · Computer Science 2025-11-04 Yuetong Sun , Peilan Xu , Wenjian Luo

Many-objective optimisation, a subset of multi-objective optimisation, involves optimisation problems with more than three objectives. As the number of objectives increases, the number of solutions needed to adequately represent the entire…

Artificial Intelligence · Computer Science 2026-04-13 Chao Jiang , Jingyu Huang , Miqing Li

Most existing studies on evolutionary multi-objective optimization focus on approximating the whole Pareto-optimal front. Nevertheless, rather than the whole front, which demands for too many points (especially in a high-dimensional space),…

Neural and Evolutionary Computing · Computer Science 2017-01-24 Ke Li , Kalyanmoy Deb , Xin Yao