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Many optimization problems arising in applications have to consider several objective functions at the same time. Evolutionary algorithms seem to be a very natural choice for dealing with multi-objective problems as the population of such…

Neural and Evolutionary Computing · Computer Science 2013-09-17 Tobias Friedrich , Frank Neumann , Christian Thyssen

Decomposition-based multi-objective evolutionary algorithms (MOEAs) are widely used for solving multi-objective optimisation problems. However, their effectiveness depends on the consistency between the problems Pareto front shape and the…

Neural and Evolutionary Computing · Computer Science 2025-02-25 Xiaofeng Han , Xiaochen Chu , Tao Chao , Ming Yang , Miqing Li

The infeasible parts of the objective space in difficult many-objective optimization problems cause trouble for evolutionary algorithms. This paper proposes a reference vector based algorithm which uses two interacting engines to adapt the…

Neural and Evolutionary Computing · Computer Science 2019-04-15 Mingde Zhao , Hongwei Ge , Kai Zhang , Yaqing Hou

Many real-world optimization problems such as engineering design can be eventually modeled as the corresponding multiobjective optimization problems (MOPs) which must be solved to obtain approximate Pareto optimal fronts. Multiobjective…

Neural and Evolutionary Computing · Computer Science 2021-11-12 Wang Chen , Jian Chen , Weitian Wu , Xinmin Yang , Hui Li

When addressing the challenge of complex multi-objective optimization problems, particularly those with non-convex and non-uniform Pareto fronts, Decomposition-based Multi-Objective Evolutionary Algorithms (MOEADs) often converge to local…

Neural and Evolutionary Computing · Computer Science 2024-04-15 Ting Dong , Haoxin Wang , Hengxi Zhang , Wenbo Ding

Choosing an appropriate optimization algorithm is essential to achieving success in optimization challenges. Here we present a new evolutionary algorithm structure that utilizes a reinforcement learning-based agent aimed at addressing these…

Neural and Evolutionary Computing · Computer Science 2024-04-18 Farajollah Tahernezhad-Javazm , Debbie Rankin , Naomi Du Bois , Alice E. Smith , Damien Coyle

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

The Multi-Objective Evolutionary Algorithm based on Decomposition (MOEA/D) is a popular algorithm for solving Multi-Objective Problems (MOPs). The main component of MOEA/D is to decompose a MOP into easier sub-problems using a set of weight…

Neural and Evolutionary Computing · Computer Science 2021-09-14 Yuri Lavinas , Abe Mitsu Teru , Yuta Kobayashi , Claus Aranha

The quality of solution sets generated by decomposition-based evolutionary multiobjective optimisation (EMO) algorithms depends heavily on the consistency between a given problem's Pareto front shape and the specified weights' distribution.…

Neural and Evolutionary Computing · Computer Science 2017-09-11 Miqing Li , Xin Yao

Multi-modal multi-objective optimization is to locate (almost) equivalent Pareto optimal solutions as many as possible. While decomposition-based evolutionary algorithms have good performance for multi-objective optimization, they are…

Neural and Evolutionary Computing · Computer Science 2020-10-01 Ryoji Tanabe , Hisao Ishibuchi

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

When working with decomposition-based algorithms, an appropriate set of weights might improve quality of the final solution. A set of uniformly distributed weights usually leads to well-distributed solutions on a Pareto front. However,…

Neural and Evolutionary Computing · Computer Science 2020-03-26 Lucas R. C. de Farias , Pedro H. M. Braga , Hansenclever F. Bassani , Aluizio F. R. Araújo

In evolutionary multiobjective optimization, effectiveness refers to how an evolutionary algorithm performs in terms of converging its solutions into the Pareto front and also diversifying them over the front. This is not an easy job,…

Neural and Evolutionary Computing · Computer Science 2022-10-26 Yani Xue , Miqing Li , Xiaohui Liu

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

The performance of multi-objective evolutionary algorithms deteriorates appreciably in solving many-objective optimization problems which encompass more than three objectives. One of the known rationales is the loss of selection pressure…

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

Optimizing multiple competing objectives is a common problem across science and industry. The inherent inextricable trade-off between those objectives leads one to the task of exploring their Pareto front. A meaningful quantity for the…

Machine Learning · Computer Science 2023-10-24 Jim Boelrijk , Bernd Ensing , Patrick Forré

Many-objective evolutionary algorithms (MOEAs), especially the decomposition-based MOEAs, have attracted wide attention in recent years. Recent studies show that a well designed combination of the decomposition method and the domination…

Neural and Evolutionary Computing · Computer Science 2019-09-05 Yingyu Zhang , Yuanzhen Li , Quan-Ke Panb , P. N. Suganthan

In solving multi-modal, multi-objective optimization problems (MMOPs), the objective is not only to find a good representation of the Pareto-optimal front (PF) in the objective space but also to find all equivalent Pareto-optimal subsets…

Neural and Evolutionary Computing · Computer Science 2022-10-24 Tapabrata Ray , Mohammad Mohiuddin Mamun , Hemant Kumar Singh

The hypervolume indicator is one of the most used set-quality indicators for the assessment of stochastic multiobjective optimizers, as well as for selection in evolutionary multiobjective optimization algorithms. Its theoretical properties…

Data Structures and Algorithms · Computer Science 2022-04-14 Andreia P. Guerreiro , Carlos M. Fonseca , Luís Paquete

Real-world problems are often multi-objective with decision-makers unable to specify a priori which trade-off between the conflicting objectives is preferable. Intuitively, building machine learning solutions in such cases would entail…

Machine Learning · Computer Science 2021-10-20 Timo M. Deist , Monika Grewal , Frank J. W. M. Dankers , Tanja Alderliesten , Peter A. N. Bosman
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