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In dealing with constrained multi-objective optimization problems (CMOPs), a key issue of multi-objective evolutionary algorithms (MOEAs) is to balance the convergence and diversity of working populations.

Neural and Evolutionary Computing · Computer Science 2019-06-04 Zhun Fan , Zhaojun Wang , Wenji Li , Yutong Yuan , Yugen You , Zhi Yang , Fuzan Sun , Jie Ruan , Zhaocheng Li

Inverted Generational Distance (IGD) has been widely considered as a reliable performance indicator to concurrently quantify the convergence and diversity of multi- and many-objective evolutionary algorithms. In this paper, an IGD…

Neural and Evolutionary Computing · Computer Science 2018-02-27 Yanan Sun , Gary G. Yen , Zhang Yi

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

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

Few-for-many (F4M) optimization, recently introduced as a novel paradigm in multi-objective optimization, aims to find a small set of solutions that effectively handle a large number of conflicting objectives. Unlike traditional…

Neural and Evolutionary Computing · Computer Science 2026-01-13 Ke Shang , Hisao Ishibuchi , Zexuan Zhu , Qingfu Zhang

Multi-modal optimization involves identifying multiple global and local optima of a function, offering valuable insights into diverse optimal solutions within the search space. Evolutionary algorithms (EAs) excel at finding multiple…

Neural and Evolutionary Computing · Computer Science 2025-09-09 Dikshit Chauhan , Shivani , Donghwi Jung , Anupam Yadav

Parameter control has succeeded in accelerating the convergence process of evolutionary algorithms. While empirical and theoretical studies have shed light on the behavior of algorithms for single-objective optimization, little is known…

Neural and Evolutionary Computing · Computer Science 2023-05-09 Furong Ye , Frank Neumann , Jacob de Nobel , Aneta Neumann , Thomas Bäck

Solving constrained multi-objective optimization problems (CMOPs) is a challenging task. While many practical algorithms have been developed to tackle CMOPs, real-world scenarios often present cases where the constraint functions are…

Neural and Evolutionary Computing · Computer Science 2025-09-25 Weixiong Huang , Rui Wang , Tao Zhang , Sheng Qi , Ling Wang

Chance constrained optimization problems allow to model problems where constraints involving stochastic components should only be violated with a small probability. Evolutionary algorithms have been applied to this scenario and shown to…

Neural and Evolutionary Computing · Computer Science 2024-08-23 Frank Neumann , Carsten Witt

This paper is concerned with a recently developed paradigm for population-based optimization, termed particle filter optimization (PFO). This paradigm is attractive in terms of coherence in theory and easiness in mathematical analysis and…

Machine Learning · Statistics 2018-11-26 Bin Liu , Yaochu Jin

Many real-world applications require solving families of expensive multi-objective optimization problems~(EMOPs) under varying operational conditions. This can be formulated as parametric expensive multi-objective optimization problems…

Machine Learning · Computer Science 2026-05-11 Tingyang Wei , Jiao Liu , Abhishek Gupta , Chin Chun Ooi , Puay Siew Tan , Yew-Soon Ong

Several real-world applications could be modeled as Mixed-Integer Non-Linear Programming (MINLP) problems, and some prominent examples include portfolio optimization, remote sensing technology, and so on. Most of the models for these…

Computational Engineering, Finance, and Science · Computer Science 2021-01-22 Yi Chen , Aimin Zhou , Swagatam Das

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

Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to…

Bilevel optimization problems comprise an upper level optimization task that contains a lower level optimization task as a constraint. While there is a significant and growing literature devoted to solving bilevel problems with single…

Neural and Evolutionary Computing · Computer Science 2024-09-06 Bing Wang , Hemant K. Singh , Tapabrata Ray

In this paper, we design a set of multi-objective constrained optimization problems (MCOPs) and propose a new repair operator to address them. The proposed repair operator is used to fix the solutions that violate the box constraints. More…

Neural and Evolutionary Computing · Computer Science 2015-04-02 Zhun Fan , Wenji Li , Xinye Cai , Huibiao Lin , Shuxiang Xie , Erik Goodman

Constrained submodular optimization problems play a key role in the area of combinatorial optimization as they capture many NP-hard optimization problems. So far, Pareto optimization approaches using multi-objective formulations have been…

Neural and Evolutionary Computing · Computer Science 2024-06-21 Frank Neumann , Günter Rudolph

An important challenge in reinforcement learning, including evolutionary robotics, is to solve multimodal problems, where agents have to act in qualitatively different ways depending on the circumstances. Because multimodal problems are…

Neural and Evolutionary Computing · Computer Science 2019-12-12 Joost Huizinga , Jeff Clune

In this article we provide a comprehensive review of the different evolutionary algorithm techniques used to address multimodal optimization problems, classifying them according to the nature of their approach. On the one hand there are…

Neural and Evolutionary Computing · Computer Science 2015-08-24 Noe Casas

Multi-objective optimization problems are ubiquitous in real-world science, engineering and design optimization problems. It is not uncommon that the objective functions are as a black box, the evaluation of which usually involve…

Neural and Evolutionary Computing · Computer Science 2021-09-14 Ke Li , Renzhi Chen