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The Quality-Diversity (QD) optimization aims to discover a collection of high-performing solutions that simultaneously exhibit diverse behaviors within a user-defined behavior space. This paradigm has stimulated significant research…

Machine Learning · Computer Science 2026-02-03 Xi Lin , Ping Guo , Yilu Liu , Qingfu Zhang , Jianyong Sun

Constrained multiobjective optimization has gained much interest in the past few years. However, constrained multiobjective optimization problems (CMOPs) are still unsatisfactorily understood. Consequently, the choice of adequate CMOPs for…

Neural and Evolutionary Computing · Computer Science 2023-02-07 Aljoša Vodopija , Tea Tušar , Bogdan Filipič

Choices in scientific research and management require balancing multiple, often competing objectives.Multiple-objective optimization (MOO) provides a unifying framework for solving multiple objective problems. Model selection is a critical…

Applications · Statistics 2018-10-26 Perry Williams , William Kendall , Mevin Hooten

Niching is an important and widely used technique in evolutionary multi-objective optimization. Its applications mainly focus on maintaining diversity and avoiding early convergence to local optimum. Recently, a special class of…

Neural and Evolutionary Computing · Computer Science 2021-02-02 Yiming Peng , Hisao Ishibuchi

Multi-objective optimization aims at finding trade-off solutions to conflicting objectives. These constitute the Pareto optimal set. In the context of expensive-to-evaluate functions, it is impossible and often non-informative to look for…

Machine Learning · Statistics 2020-02-20 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

Multi-Objective Optimization (MOO) techniques have become increasingly popular in recent years due to their potential for solving real-world problems in various fields, such as logistics, finance, environmental management, and engineering.…

Neural and Evolutionary Computing · Computer Science 2024-07-15 Noor A. Rashed , Yossra H. Ali , Tarik A. Rashid , A. Salih

Multi-objective combinatorial optimization seeks Pareto-optimal solutions over exponentially large discrete spaces, yet existing methods sacrifice generality, scalability, or theoretical guarantees. We reformulate it as an online learning…

Machine Learning · Computer Science 2026-02-13 Esha Singh , Dongxia Wu , Chien-Yi Yang , Tajana Rosing , Rose Yu , Yi-An Ma

We present a review that unifies decision-support methods for exploring the solutions produced by multi-objective optimization (MOO) algorithms. As MOO is applied to solve diverse problems, approaches for analyzing the trade-offs offered by…

Artificial Intelligence · Computer Science 2023-11-21 Zuzanna Osika , Jazmin Zatarain Salazar , Diederik M. Roijers , Frans A. Oliehoek , Pradeep K. Murukannaiah

We present MOSS, a multi-objective optimization framework for constructing stable sets of decision rules. MOSS incorporates three important criteria for interpretability: sparsity, accuracy, and stability, into a single multi-objective…

Optimization and Control · Mathematics 2025-07-31 Brian Liu , Rahul Mazumder

Bayesian optimization (BO) is a popular approach for sample-efficient optimization of black-box objective functions. While BO has been successfully applied to a wide range of scientific applications, traditional approaches to…

Machine Learning · Computer Science 2023-05-04 Natalie Maus , Kaiwen Wu , David Eriksson , Jacob Gardner

Given a finite set $N$ of feasible points of a multi-objective optimization (MOO) problem, the search region corresponds to the part of the objective space containing all the points that are not dominated by any point of $N$, i.e. the part…

Discrete Mathematics · Computer Science 2015-04-14 Kathrin Klamroth , Renaud Lacour , Daniel Vanderpooten

The emergence of optical intelligent reflecting surface (OIRS) technologies marks a milestone in optical wireless communication (OWC) systems, enabling enhanced control over light propagation in indoor environments. This capability allows…

Signal Processing · Electrical Eng. & Systems 2025-01-08 Jalal Jalali , Hina Tabassum , Jeroen Famaey , Walid Saad , Murat Uysal

Efficiently solving multi-objective optimization problems for simulation optimization of important scientific and engineering applications such as materials design is becoming an increasingly important research topic. This is due largely to…

Artificial Intelligence · Computer Science 2023-06-27 Eric Hans Lee , Bolong Cheng , Michael McCourt

Offline multi-objective optimization aims to identify Pareto-optimal solutions given a dataset of designs and their objective values. In this work, we propose a preference-guided diffusion model that generates Pareto-optimal designs by…

Machine Learning · Computer Science 2025-12-19 Yashas Annadani , Syrine Belakaria , Stefano Ermon , Stefan Bauer , Barbara E Engelhardt

Many real world applications can be framed as multi-objective optimization problems, where we wish to simultaneously optimize for multiple criteria. Bayesian optimization techniques for the multi-objective setting are pertinent when the…

Machine Learning · Computer Science 2019-06-24 Biswajit Paria , Kirthevasan Kandasamy , Barnabás Póczos

In contrast to single-objective optimization (SOO), multi-objective optimization (MOO) requires an optimizer to find the Pareto frontier, a subset of feasible solutions that are not dominated by other feasible solutions. In this paper, we…

Machine Learning · Computer Science 2024-08-13 Yiyang Zhao , Linnan Wang , Kevin Yang , Tianjun Zhang , Tian Guo , Yuandong Tian

Multiobjective optimization problems (MOPs) are prevalent in machine learning, with applications in multi-task learning, learning under fairness or robustness constraints, etc. Instead of reducing multiple objective functions into a scalar…

Mathematical Software · Computer Science 2024-10-14 Xiaoyuan Zhang , Liang Zhao , Yingying Yu , Xi Lin , Yifan Chen , Han Zhao , Qingfu Zhang

Multi-objective optimization (MOO) arises in many real-world applications where trade-offs between competing objectives must be carefully balanced. In the offline setting, where only a static dataset is available, the main challenge is…

Machine Learning · Computer Science 2026-02-16 Jatan Shrestha , Santeri Heiskanen , Kari Hepola , Severi Rissanen , Pekka Jääskeläinen , Joni Pajarinen

In this work, we consider the problem of Quality-Diversity (QD) optimization with multiple objectives. QD algorithms have been proposed to search for a large collection of both diverse and high-performing solutions instead of a single set…

Artificial Intelligence · Computer Science 2022-06-01 Thomas Pierrot , Guillaume Richard , Karim Beguir , Antoine Cully

Multi-objective reinforcement learning (MORL) is the generalization of standard reinforcement learning (RL) approaches to solve sequential decision making problems that consist of several, possibly conflicting, objectives. Generally, in…

Artificial Intelligence · Computer Science 2019-10-08 Xi Chen , Ali Ghadirzadeh , Mårten Björkman , Patric Jensfelt
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