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NSGA-II and NSGA-III are two of the most popular evolutionary multi-objective algorithms used in practice. While NSGA-II is used for few objectives such as 2 and 3, NSGA-III is designed to deal with a larger number of objectives. In a…

Neural and Evolutionary Computing · Computer Science 2024-04-19 Andre Opris , Duc-Cuong Dang , Frank Neumann , Dirk Sudholt

This paper conducts the first rigorous runtime analysis of the SMS-EMOA for many-objective optimization. To this aim, we first propose a many-objective counterpart of the bi-objective OJZJ benchmark. We prove that SMS-EMOA computes the full…

Neural and Evolutionary Computing · Computer Science 2025-06-10 Weijie Zheng , Benjamin Doerr

Differential evolution is one of the most prestigious population-based stochastic optimization algorithm for black-box problems. The performance of a differential evolution algorithm depends highly on its mutation and crossover strategy and…

Neural and Evolutionary Computing · Computer Science 2021-02-09 Jianyong Sun , Xin Liu , Thomas Bäck , Zongben Xu

This paper addresses the challenge of dynamic multi-objective optimization problems (DMOPs) by introducing novel approaches for accelerating prediction strategies within the evolutionary algorithm framework. Since the objectives of DMOPs…

Neural and Evolutionary Computing · Computer Science 2024-11-14 Ru Lei , Lin Li , Rustam Stolkin , Bin Feng

The choices of hyperparameters have critical effects on the performance of machine learning models. In this paper, we present a general framework that is able to construct an adaptive optimizer, which automatically adjust the appropriate…

Machine Learning · Computer Science 2022-01-31 Huayuan Sun

The non-dominated sorting genetic algorithm~II (NSGA-II) is the most popular multi-objective optimization heuristic. Recent mathematical runtime analyses have detected two shortcomings in discrete search spaces, namely, that the NSGA-II has…

Neural and Evolutionary Computing · Computer Science 2025-04-22 Benjamin Doerr , Tudor Ivan , Martin S. Krejca

Experimental multi-objective Quantum Control is an emerging topic within the broad physics and chemistry applications domain of controlling quantum phenomena. This realm offers cutting edge ultrafast laser laboratory applications, which…

Neural and Evolutionary Computing · Computer Science 2011-12-23 Ofer M. Shir , Jonathan Roslund , Zaki Leghtas , Herschel Rabitz

Optimization problems find widespread use in both single-objective and multi-objective scenarios. In practical applications, users aspire for solutions that converge to the region of interest (ROI) along the Pareto front (PF). While the…

Artificial Intelligence · Computer Science 2025-03-10 Tian Huang , Shengbo Wang , Ke Li

This paper proposes the multi objective variant of the recently introduced fitness dependent optimizer (FDO). The algorithm is called a Multi objective Fitness Dependent Optimizer (MOFDO) and is equipped with all five types of knowledge…

Neural and Evolutionary Computing · Computer Science 2023-02-14 Jaza M. Abdullah , Tarik A. Rashid , Bestan B. Maaroof , Seyedali Mirjalili

In this paper, we propose a variable grouping method based on cooperative coevolution for large-scale multi-objective problems (LSMOPs), named Linkage Measurement Minimization (LMM). And for the sub-problem optimization stage, a hybrid…

Neural and Evolutionary Computing · Computer Science 2022-08-30 Rui Zhong , Masaharu Munetomo

A multi-modal multi-objective optimization problem is a special kind of multi-objective optimization problem with multiple Pareto subsets. In this paper, we propose an efficient multi-modal multi-objective optimization algorithm based on…

Neural and Evolutionary Computing · Computer Science 2020-04-22 Yiming Peng , Hisao Ishibuchi

A core feature of evolutionary algorithms is their mutation operator. Recently, much attention has been devoted to the study of mutation operators with dynamic and non-uniform mutation rates. Following up on this line of work, we propose a…

Data Structures and Algorithms · Computer Science 2018-11-22 Tobias Friedrich , Andreas Göbel , Francesco Quinzan , Markus Wagner

Evolutionary algorithms (EAs) have been widely and successfully applied to solve multi-objective optimization problems, due to their nature of population-based search. Population update, a key component in multi-objective EAs (MOEAs), is…

Neural and Evolutionary Computing · Computer Science 2025-02-18 Chao Bian , Yawen Zhou , Miqing Li , Chao Qian

Neural operator methods have emerged as powerful tools for learning mappings between infinite-dimensional function spaces, yet their potential in optimal control remains largely unexplored. We focus on multi-task control problems, whose…

Machine Learning · Computer Science 2026-04-07 David Sewell , Xingjian Li , Stepan Tretiakov , Krishna Kumar , David Fridovich-Keil

Multiobjective evolutionary algorithms (MOEAs) are major methods for solving multiobjective optimization problems (MOPs). Many MOEAs have been proposed in the past decades, of which the search operators need a carefully handcrafted design…

Neural and Evolutionary Computing · Computer Science 2024-03-27 Fei Liu , Xi Lin , Zhenkun Wang , Shunyu Yao , Xialiang Tong , Mingxuan Yuan , Qingfu Zhang

In Symbolic Regression (SR), achieving a proper balance between accuracy and interpretability remains a key challenge. The Genetic Programming variant of the Gene-pool Optimal Mixing Evolutionary Algorithm (GP-GOMEA) is of particular…

Neural and Evolutionary Computing · Computer Science 2025-07-08 Joe Harrison , Tanja Alderliesten. Peter A. N. Bosman

Given a point in $m$-dimensional objective space, any $\varepsilon$-ball of a point can be partitioned into the incomparable, the dominated and dominating region. The ratio between the size of the incomparable region, and the dominated (and…

Neural and Evolutionary Computing · Computer Science 2020-06-22 Yali Wang , André Deutz , Thomas Bäck , Michael Emmerich

We consider multiobjective combinatorial optimization problems handled by means of preference driven efficient heuristics. They look for the most preferred part of the Pareto front on the basis of some preferences expressed by the Decision…

Optimization and Control · Mathematics 2022-03-09 Maria Barbati , Salvatore Corrente , Salvatore Greco

Selecting the most relevant or informative features is a key issue in actual machine learning problems. Since an exhaustive search is not feasible even for a moderate number of features, an intelligent search strategy must be employed for…

Neural and Evolutionary Computing · Computer Science 2026-04-08 Leandro Vignolo , Matias Gerard

We introduce a novel multiobjective optimization algorithm based on the conformational space annealing (CSA) algorithm, MOCSA. It has three characteristic features: (a) Dominance relationship and distance between solutions in the objective…

Computational Physics · Physics 2012-09-05 Sangjin Sim , Juyong Lee , Jooyoung Lee