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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

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

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

Problems defined on binary decision spaces have been intensively studied in the theory of multi-objective evolutionary algorithms (MOEAs). In contrast, no mathematical runtime analyses exist so far for MOEAs dealing with decision variables…

Neural and Evolutionary Computing · Computer Science 2026-05-15 Mingfeng Li , Zheng Cheng , Weijie Zheng , Benjamin Doerr

Recent decades have witnessed great advancements in multiobjective evolutionary algorithms (MOEAs) for multiobjective optimization problems (MOPs). However, these progressively improved MOEAs have not necessarily been equipped with scalable…

Neural and Evolutionary Computing · Computer Science 2023-02-28 Songbai Liu , Qiuzhen Lin , Jianqiang Li , Kay Chen Tan

Multi-objective optimization has burgeoned as a potent methodology for informed decision-making in enhanced geothermal systems, aiming to concurrently maximize economic yield, ensure enduring geothermal energy provision, and curtail carbon…

Neural and Evolutionary Computing · Computer Science 2024-11-04 Guodong Chen , Jiu Jimmy Jiao , Qiqi Liu , Zhongzheng Wang , Yaochu Jin

Python has become the programming language of choice for research and industry projects related to data science, machine learning, and deep learning. Since optimization is an inherent part of these research fields, more optimization related…

Neural and Evolutionary Computing · Computer Science 2020-05-25 Julian Blank , Kalyanmoy Deb

Large-scale sparse multi-objective optimization problems (LSMOPs) are prevalent in real-world applications, where optimal solutions typically contain only a few nonzero variables, such as in adversarial attacks, critical node detection, and…

Neural and Evolutionary Computing · Computer Science 2026-03-13 Shuai Shao , Yuhao Sun , Xing Chen , Ye Tian , Guan Wang , Jin Li

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

The evolutionary diversity optimization aims at finding a diverse set of solutions which satisfy some constraint on their fitness. In the context of multi-objective optimization this constraint can require solutions to be Pareto-optimal. In…

Neural and Evolutionary Computing · Computer Science 2023-07-17 Denis Antipov , Aneta Neumann , Frank Neumann

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 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…

Model merging, which combines multiple models into a single model, has gained popularity in recent years. By efficiently integrating the capabilities of various models, this significantly reduces the parameter count and memory usage.…

Machine Learning · Computer Science 2025-02-11 Weiyu Chen , James Kwok

Multimodal multi-objective problems (MMOPs) commonly arise in real-world problems where distant solutions in decision space correspond to very similar objective values. To obtain all solutions for MMOPs, many multimodal multi-objective…

Neural and Evolutionary Computing · Computer Science 2023-01-31 Wenhua Li , Tao Zhang , Rui Wang , Jing Liang

Optimizing multiple, non-preferential objectives for mixed-variable, expensive black-box problems is important in many areas of engineering and science. The expensive, noisy, black-box nature of these problems makes them ideal candidates…

Machine Learning · Computer Science 2022-11-15 Haris Moazam Sheikh , Philip S. Marcus

Multi-objective Bayesian optimization (MOBO) provides a principled framework for optimizing expensive black-box functions with multiple objectives. However, existing MOBO methods often struggle with coverage, scalability with respect to the…

Machine Learning · Computer Science 2026-04-20 Yaohong Yang , Sammie Katt , Samuel Kaski

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 the issue of intensification/diversification balance in the context of a memetic algorithm for the multiobjective optimization of investment portfolios with cardinality constraints. We approach this issue in this work by…

Neural and Evolutionary Computing · Computer Science 2024-12-06 Feijoo Colomine Durán , Carlos Cotta , Antonio J. Fernández-Leiva

Traditional multiobjective optimization problems (MOPs) are insufficiently equipped for scenarios involving multiple decision makers (DMs), which are prevalent in many practical applications. These scenarios are categorized as multiparty…

Neural and Evolutionary Computing · Computer Science 2026-03-31 Kesheng Chen , Wenjian Luo , Qi Zhou , Yujiang liu , Peilan Xu , Yuhui Shi

Evolutionary Computation algorithms have been used to solve optimization problems in relation with architectural, hyper-parameter or training configuration, forging the field known today as Neural Architecture Search. These algorithms have…

Neural and Evolutionary Computing · Computer Science 2024-02-06 Javier Poyatos , Daniel Molina , Aitor Martínez , Javier Del Ser , Francisco Herrera