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Evolutionary algorithms have been successfully applied to a variety of optimisation problems in stationary environments. However, many real world optimisation problems are set in dynamic environments where the success criteria shifts…

Neural and Evolutionary Computing · Computer Science 2016-10-11 Matthew Hughes

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

In the field of evolutionary multi-objective optimization, the approximation of the Pareto front (PF) is achieved by utilizing a collection of representative candidate solutions that exhibit desirable convergence and diversity. Although…

Neural and Evolutionary Computing · Computer Science 2024-07-10 Peng Chen , Jing Liang , Kangjia Qiao , Ponnuthurai Nagaratnam Suganthan , Xuanxuan Ban

Evolutionary diversity optimization aims to compute a diverse set of solutions where all solutions meet a given quality criterion. With this paper, we bridge the areas of evolutionary diversity optimization and evolutionary multi-objective…

Neural and Evolutionary Computing · Computer Science 2018-11-19 Aneta Neumann , Wanru Gao , Markus Wagner , Frank Neumann

Elitism, which constructs the new population by preserving best solutions out of the old population and newly-generated solutions, has been a default way for population update since its introduction into multi-objective evolutionary…

Neural and Evolutionary Computing · Computer Science 2023-05-29 Zimin Liang , Miqing Li , Per Kristian Lehre

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

Post-training techniques combined with inference-time scaling significantly enhance the reasoning and alignment capabilities of large language models (LLMs). However, a fundamental tension arises: inference-time methods benefit from diverse…

Machine Learning · Computer Science 2026-05-12 Changhao Li , Yuchen Zhuang , Chenxiao Gao , Haotian Sun , Rushi Qiang , Chao Zhang , Bo Dai

Optimistic methods have been applied with success to single-objective optimization. Here, we attempt to bridge the gap between optimistic methods and multi-objective optimization. In particular, this paper is concerned with solving…

Optimization and Control · Mathematics 2016-12-28 Abdullah Al-Dujaili , S. Suresh

Multi-objective evolutionary algorithms (MOEAs) have become essential tools for solving multi-objective optimization problems (MOPs), making their running time analysis crucial for assessing algorithmic efficiency and guiding practical…

Neural and Evolutionary Computing · Computer Science 2025-07-04 Han Huang , Tianyu Wang , Chaoda Peng , Tongli He , Zhifeng Hao

Most reinforcement learning algorithms seek a single optimal strategy that solves a given task. However, it can often be valuable to learn a diverse set of solutions, for instance, to make an agent's interaction with users more engaging, or…

Machine Learning · Computer Science 2024-01-09 Wentse Chen , Shiyu Huang , Yuan Chiang , Tim Pearce , Wei-Wei Tu , Ting Chen , Jun Zhu

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

Multiple-objective optimization (MOO) aims to simultaneously optimize multiple conflicting objectives and has found important applications in machine learning, such as minimizing classification loss and discrepancy in treating different…

Machine Learning · Computer Science 2022-09-16 Eric Enouen , Katja Mathesius , Sean Wang , Arielle Carr , Sihong Xie

We study the multi-objective minimum weight base problem, an abstraction of classical NP-hard combinatorial problems such as the multi-objective minimum spanning tree problem. We prove some important properties of the convex hull of the…

Artificial Intelligence · Computer Science 2023-06-07 Anh Viet Do , Aneta Neumann , Frank Neumann , Andrew M. Sutton

In last decades optimization and control of complex systems that possessed various conflicted objectives simultaneously attracted an incremental interest of scientists. This is because of the vast applications of these systems in various…

Neural and Evolutionary Computing · Computer Science 2013-12-17 Ahmad Mozaffari , Alireza Fathi

Evolutionary algorithms face significant challenges when dealing with dynamic multi-objective optimization because Pareto optimal solutions and/or Pareto optimal fronts change. This paper proposes a unified paradigm, which combines the…

Neural and Evolutionary Computing · Computer Science 2023-12-05 Zhanglu Hou , Juan Zou , Gan Ruan , Yuan Liu , Yizhang Xia

Different from most other dynamic multi-objective optimization problems (DMOPs), DMOPs with a changing number of objectives usually result in expansion or contraction of the Pareto front or Pareto set manifold. Knowledge transfer has been…

Neural and Evolutionary Computing · Computer Science 2023-06-21 Gan Ruan , Leandro L. Minku , Stefan Menzel , Bernhard Sendhoff , Xin Yao

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

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

Theoretical studies on evolutionary algorithms have developed vigorously in recent years. Many such algorithms have theoretical guarantees in both running time and approximation ratio. Some approximation mechanism seems to be inherently…

Neural and Evolutionary Computing · Computer Science 2022-10-04 Yaoyao Zhang , Chaojie Zhu , Shaojie Tang , Ringli Ran , Ding-Zhu Du , Zhao Zhang

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
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