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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

The development of efficient and effective evolutionary multi-objective optimization (EMO) algorithms has been an active research topic in the evolutionary computation community. Over the years, many EMO algorithms have been proposed. The…

Neural and Evolutionary Computing · Computer Science 2020-08-18 Lie Meng Pang , Hisao Ishibuchi , Ke Shang

Multi-Objective Evolutionary Algorithms (MOEAs) have proven effective at solving Multi-Objective Optimisation Problems (MOOPs). However, their performance can be significantly hindered when applied to computationally intensive industrial…

Neural and Evolutionary Computing · Computer Science 2026-01-30 Tiwonge Msulira Banda , Alexandru-Ciprian Zăvoianu

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

Multiobjective optimization (MOO) is prevalent in numerous applications, in which a Pareto front (PF) is constructed to display optima under various preferences. Previous methods commonly utilize the set of Pareto objectives (particles on…

Machine Learning · Computer Science 2024-02-16 Xiaoyuan Zhang , Xi Lin , Yichi Zhang , Yifan Chen , Qingfu Zhang

In model-based evolutionary algorithms (EAs), the underlying search distribution is adapted to the problem at hand, for example based on dependencies between decision variables. Hill-valley clustering is an adaptive niching method in which…

Neural and Evolutionary Computing · Computer Science 2020-10-29 S. C. Maree , T. Alderliesten , P. A. N. Bosman

Multi-objective evolutionary algorithms (MOEAs) are widely used for searching optimal solutions in complex multi-component applications. Traditional MOEAs for multi-component deep learning (MCDL) systems face challenges in enhancing the…

Neural and Evolutionary Computing · Computer Science 2025-06-12 Haoxiang Tian , Xingshuo Han , Guoquan Wu , An Guo , Yuan Zhou. Jie Zhang , Shuo Li , Jun Wei , Tianwei Zhang

Real world constrained multiobjective optimization problems (CMOPs) are prevalent and often come with stringent time-sensitive requirements. However, most contemporary constrained multiobjective evolutionary algorithms (CMOEAs) suffer from…

Neural and Evolutionary Computing · Computer Science 2026-01-27 Weixiong Huang , Rui Wang , Wenhua Li , Sheng Qi , Tianyu Luo , Delong Chen , Tao Zhang , Ling Wang

Estimation of distribution algorithms (EDA) are stochastic optimization algorithms. EDA establishes a probability model to describe the distribution of solution from the perspective of population macroscopically by statistical learning…

Neural and Evolutionary Computing · Computer Science 2020-03-19 Zhenyu Liang , Yunfan Li , Zhongwei Wan

Multi- or many-objective evolutionary algorithm- s(MOEAs), especially the decomposition-based MOEAs have been widely concerned in recent years. The decomposition-based MOEAs emphasize convergence and diversity in a simple model and have…

Neural and Evolutionary Computing · Computer Science 2018-03-19 Yingyu Zhang , Bing Zeng , Yuanzhen Li , Junqing Li

Finding a realistic deformation that transforms one image into another, in case large deformations are required, is considered a key challenge in medical image analysis. Having a proper image registration approach to achieve this could…

Computer Vision and Pattern Recognition · Computer Science 2023-03-10 Georgios Andreadis , Peter A. N. Bosman , Tanja Alderliesten

In multi-objective Bayesian optimization and surrogate-based evolutionary algorithms, Expected HyperVolume Improvement (EHVI) is widely used as the acquisition function to guide the search approaching the Pareto front. This paper focuses on…

Machine Learning · Statistics 2019-01-25 Guang Zhao , Raymundo Arroyave , Xiaoning Qian

Most of the real-world problems are multimodal in nature that consists of multiple optimum values. Multimodal optimization is defined as the process of finding multiple global and local optima (as opposed to a single solution) of a…

Neural and Evolutionary Computing · Computer Science 2022-08-24 Shatendra Singh , Aruna Tiwari

In this study, linear matrix inequality (LMI) approaches and multiobjective (MO) evolutionary algorithms are integrated to design controllers. An MO matrix inequality problem (MOMIP) is first defined. A hybrid MO differential evolution…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Wei-Yu Chiu

Portfolio optimization is a financial task which requires the allocation of capital on a set of financial assets to achieve a better trade-off between return and risk. To solve this problem, recent studies applied multi-objective…

Neural and Evolutionary Computing · Computer Science 2020-03-17 Yifan He , Claus Aranha

The ideal objective vector, which comprises the optimal values of the $m$ objective functions in an $m$-objective optimization problem, is an important concept in evolutionary multi-objective optimization. Accurate estimation of this vector…

Neural and Evolutionary Computing · Computer Science 2025-05-29 Ruihao Zheng , Zhenkun Wang , Yin Wu , Maoguo Gong

In this paper, we develop a stochastic set-valued optimization (SVO) framework tailored for robust machine learning. In the SVO setting, each decision variable is mapped to a set of objective values, and optimality is defined via set…

Optimization and Control · Mathematics 2026-03-19 Tommaso Giovannelli , Jingfu Tan , Luis Nunes Vicente

In practical multi-criterion decision-making, it is cumbersome if a decision maker (DM) is asked to choose among a set of trade-off alternatives covering the whole Pareto-optimal front. This is a paradox in conventional evolutionary…

Neural and Evolutionary Computing · Computer Science 2022-04-07 Ke Li , Guiyu Lai , Xin Yao

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

This paper intends to understand and to improve the working principle of decomposition-based multi-objective evolutionary algorithms. We review the design of the well-established Moea/d framework to support the smooth integration of…

Neural and Evolutionary Computing · Computer Science 2020-04-16 Geoffrey Pruvost , Bilel Derbel , Arnaud Liefooghe , Ke Li , Qingfu Zhang
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