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Even if a Multi-modal Multi-Objective Evolutionary Algorithm (MMOEA) is designed to find solutions well spread over all locally optimal approximation sets of a Multi-modal Multi-objective Optimization Problem (MMOP), there is a risk that…

Neural and Evolutionary Computing · Computer Science 2022-07-05 Renzo J. Scholman , Anton Bouter , Leah R. M. Dickhoff , Tanja Alderliesten , Peter A. N. Bosman

Constrained multi-objective optimization problems (CMOPs) frequently arise in real-world applications where multiple conflicting objectives must be optimized under complex constraints. Existing dual-population two-stage algorithms have…

Neural and Evolutionary Computing · Computer Science 2025-10-27 Zhen-Song Chen , Hong-Wei Ding , Xian-Jia Wang , Witold Pedrycz

Knowledge transfer-based evolutionary optimization has garnered significant attention, such as in multi-task evolutionary optimization (MTEO), which aims to solve complex problems by simultaneously optimizing multiple tasks. While this…

Neural and Evolutionary Computing · Computer Science 2025-10-10 Jie Zhao , Kang Hao Cheong , Yaochu Jin

Decomposition has been the mainstream approach in the classic mathematical programming for multi-objective optimization and multi-criterion decision-making. However, it was not properly studied in the context of evolutionary multi-objective…

Neural and Evolutionary Computing · Computer Science 2021-08-24 Ke Li

This paper gives a concise overview of evolutionary algorithms for multiobjective optimization. A substantial number of evolutionary computation methods for multiobjective problem solving has been proposed so far, and an attempt of unifying…

Combinatorics · Mathematics 2009-04-21 Arnaud Liefooghe , Laetitia Jourdan , El-Ghazali Talbi

Understanding the search dynamics of multiobjective evolutionary algorithms (MOEAs) is still an open problem. This paper extends a recent network-based tool, search trajectory networks (STNs), to model the behavior of MOEAs. Our approach…

Neural and Evolutionary Computing · Computer Science 2022-07-01 Yuri Lavinas , Claus Aranha , Gabriela Ochoa

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

Evolutionary algorithms (EAs) have emerged as a predominant approach for addressing multi-objective optimization problems. However, the theoretical foundation of multi-objective EAs (MOEAs), particularly the fundamental aspects like running…

Neural and Evolutionary Computing · Computer Science 2024-09-17 Shengjie Ren , Chao Bian , Miqing Li , Chao Qian

The decomposition-based multi-objective evolutionary algorithm (MOEA/D) does not directly optimize a given multi-objective function $f$, but instead optimizes $N + 1$ single-objective subproblems of $f$ in a co-evolutionary manner. It…

Neural and Evolutionary Computing · Computer Science 2024-10-07 Benjamin Doerr , Martin S. Krejca , Noé Weeks

While state-of-the-art development in CNN topology, such as VGGNet and ResNet, have become increasingly accurate, these networks are computationally expensive involving billions of arithmetic operations and parameters. To improve the…

Performance · Computer Science 2021-06-29 Ziwei Wang , Martin A. Trefzer , Simon J. Bale , Andy M. Tyrrell

A preference based multi-objective evolutionary algorithm is proposed for generating solutions in an automatically detected knee point region. It is named Automatic Preference based DI-MOEA (AP-DI-MOEA) where DI-MOEA stands for…

Neural and Evolutionary Computing · Computer Science 2021-01-26 Yali Wang , Steffen Limmer , Markus Olhofer , Michael Emmerich , Thomas Baeck

The emerging research paradigm coined as multitasking optimization aims to solve multiple optimization tasks concurrently by means of a single search process. For this purpose, the exploitation of complementarities among the tasks to be…

Artificial Intelligence · Computer Science 2020-05-14 Eneko Osaba , Aritz D. Martinez , Akemi Galvez , Andres Iglesias , Javier Del Ser

Despite significant progress in the field of mathematical runtime analysis of multi-objective evolutionary algorithms (MOEAs), the performance of MOEAs on discrete many-objective problems is little understood. In particular, the few…

Neural and Evolutionary Computing · Computer Science 2025-06-24 Simon Wietheger , Benjamin Doerr

Imaging in radioastronomy is an ill-posed inverse problem. Particularly the Event Horizon Telescope (EHT) Collaboration investigated the fidelity of their image reconstructions convincingly by large surveys solving the problem with…

Instrumentation and Methods for Astrophysics · Physics 2023-07-05 Hendrik Müller , Alejandro Mus , Andrei Lobanov

In this paper we consider multi-objective optimization problems over a box. The problem is very relevant and several computational approaches have been proposed in the literature. They broadly fall into two main classes: evolutionary…

Optimization and Control · Mathematics 2022-12-08 Matteo Lapucci , Pierluigi Mansueto , Fabio Schoen

Multi-objective optimization problems whose objectives have different evaluation costs are commonly seen in the real world. Such problems are now known as multi-objective optimization problems with heterogeneous objectives (HE-MOPs). So…

Neural and Evolutionary Computing · Computer Science 2022-08-26 Xilu Wang , Yaochu Jin , Sebastian Schmitt , Markus Olhofer

As evolutionary algorithms (EAs) are general-purpose optimization algorithms, recent theoretical studies have tried to analyze their performance for solving general problem classes, with the goal of providing a general theoretical…

Neural and Evolutionary Computing · Computer Science 2022-11-29 Chao Qian

The NSGA-II is the most prominent multi-objective evolutionary algorithm (cited more than 50,000 times). Very recently, a mathematical runtime analysis has proven that this algorithm can have enormous difficulties when the number of…

Neural and Evolutionary Computing · Computer Science 2024-11-18 Benjamin Doerr , Dimitri Korkotashvili , Martin S. Krejca

Multiobjective Evolutionary Algorithms based on Decomposition (MOEA/D) represent a widely used class of population-based metaheuristics for the solution of multicriteria optimization problems. We introduce the MOEADr package, which offers…

Neural and Evolutionary Computing · Computer Science 2020-05-05 Felipe Campelo , Lucas S. Batista , Claus Aranha

Parent selection in evolutionary algorithms for multi-objective optimisation is usually performed by dominance mechanisms or indicator functions that prefer non-dominated points. We propose to refine the parent selection on evolutionary…

Neural and Evolutionary Computing · Computer Science 2018-09-05 Edgar Covantes Osuna , Wanru Gao , Frank Neumann , Dirk Sudholt
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