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Optimizing nonlinear systems involving expensive computer experiments with regard to conflicting objectives is a common challenge. When the number of experiments is severely restricted and/or when the number of objectives increases,…

Machine Learning · Statistics 2019-07-16 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

Population-based evolutionary algorithms are often considered when approaching computationally expensive black-box optimization problems. They employ a selection mechanism to choose the best solutions from a given population after comparing…

Neural and Evolutionary Computing · Computer Science 2024-01-30 Judith Echevarrieta , Etor Arza , Aritz Pérez

Multi-objective optimization (MOO) is a prevalent challenge for Deep Learning, however, there exists no scalable MOO solution for truly deep neural networks. Prior work either demand optimizing a new network for every point on the Pareto…

Machine Learning · Computer Science 2021-10-15 Michael Ruchte , Josif Grabocka

In recent years, convolutional neural networks (CNNs) have become deeper in order to achieve better classification accuracy in image classification. However, it is difficult to deploy the state-of-the-art deep CNNs for industrial use due to…

Neural and Evolutionary Computing · Computer Science 2019-04-23 Bin Wang , Yanan Sun , Bing Xue , Mengjie Zhang

Hypervolume indicator is a commonly accepted quality measure for comparing Pareto approximation set generated by multi-objective optimizers. The best known algorithm to calculate it for $n$ points in $d$-dimensional space has a run time of…

Computational Geometry · Computer Science 2007-05-23 Qing Yang , Shengchao Ding

Recently, it has been proven that evolutionary algorithms produce good results for a wide range of combinatorial optimization problems. Some of the considered problems are tackled by evolutionary algorithms that use a representation which…

Neural and Evolutionary Computing · Computer Science 2013-01-18 Benjamin Doerr , Anton Eremeev , Frank Neumann , Madeleine Theile , Christian Thyssen

This paper looks in detail at how an evolutionary algorithm attempts to solve instances from the multimodal problem generator. The paper shows that in order to consistently reach the global optimum, an evolutionary algorithm requires a…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Fernando G. Lobo , Claudio F. Lima

In this paper, a branch and bound algorithm that incorporates the decision maker's preference information is proposed for multiobjective optimization. In the proposed algorithm, a new discarding test is designed to check whether a box…

Optimization and Control · Mathematics 2023-02-28 Weitian Wu , Xinmin Yang

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

In multi-objective optimization, computing the entire non-dominated set (also known as the Pareto front or the Pareto frontier) is often intractable. However, for any multiplicative factor greater than one, an approximation set can be…

Optimization and Control · Mathematics 2026-04-30 Levin Nemesch , Stefan Ruzika , Clemens Thielen , Alina Wittmann

The ultimate goal of multi-objective optimisation is to help a decision maker (DM) identify solution(s) of interest (SOI) achieving satisfactory trade-offs among multiple conflicting criteria. This can be realised by leveraging DM's…

Neural and Evolutionary Computing · Computer Science 2019-10-01 Ke Li , Minhui Liao , Kalyanmoy Deb , Geyong Min , Xin Yao

Large-scale multi-objective optimization poses challenges to existing evolutionary algorithms in maintaining the performances of convergence and diversity because of high dimensional decision variables. Inspired by the motion of particles…

Neural and Evolutionary Computing · Computer Science 2025-09-22 Jia-Cheng Li , Min-Rong Chen , Guo-Qiang Zeng , Jian Weng , Man Wang , Jia-Lin Mai

Most existing studies on evolutionary multi-objective optimization focus on approximating the whole Pareto-optimal front. Nevertheless, rather than the whole front, which demands for too many points (especially in a high-dimensional space),…

Neural and Evolutionary Computing · Computer Science 2017-01-24 Ke Li , Kalyanmoy Deb , Xin Yao

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

In multi-objective optimization, the set of optimal trade-offs -- the Pareto front -- often contains regions that are extremely steep or flat. The Pareto optimal points in these regions are typically of limited interest for decision-making,…

Optimization and Control · Mathematics 2026-02-26 Markus Herrmann-Wicklmayr , Kathrin Flaßkamp

Flower pollination algorithm is a new nature-inspired algorithm, based on the characteristics of flowering plants. In this paper, we extend this flower algorithm to solve multi-objective optimization problems in engineering. By using the…

Neural and Evolutionary Computing · Computer Science 2014-04-04 Xin-She Yang , M. Karamanoglu , Xingshi He

We investigate an evolutionary multi-objective approach to good micro for real-time strategy games. Good micro helps a player win skirmishes and is one of the keys to developing better real-time strategy game play. In prior work, the same…

Neural and Evolutionary Computing · Computer Science 2018-03-29 Rahul Dubey , Joseph Ghantous , Sushil Louis , Siming Liu

The decomposition-based method has been recognized as a major approach for multi-objective optimization. It decomposes a multi-objective optimization problem into several single-objective optimization subproblems, each of which is usually…

Neural and Evolutionary Computing · Computer Science 2017-04-11 Mengyuan Wu , Ke Li , Sam Kwong , Qingfu Zhang

In this paper, we scale evolutionary algorithms to high-dimensional optimization problems that deceptively possess a low effective dimensionality (certain dimensions do not significantly affect the objective function). To this end, an…

Neural and Evolutionary Computing · Computer Science 2024-01-02 Yaqing Hou , Mingyang Sun , Abhishek Gupta , Yaochu Jin , Haiyin Piao , Hongwei Ge , Qiang Zhang

During the past two decades, multi-agent optimization problems have drawn increased attention from the research community. When multiple objective functions are present among agents, many works optimize the sum of these objective functions.…

Multiagent Systems · Computer Science 2020-10-13 M. J. Blondin , M. T. Hale