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In this paper, we address the Continuous Multifacility Monotone Ordered Median Problem. This problem minimizes a monotone ordered weighted median function of the distances between given demand points in $\mathbb{R}^d$ and its closest…

Optimization and Control · Mathematics 2021-08-03 Víctor Blanco , Ricardo Gázquez , Diego Ponce , Justo Puerto

Many-objective optimisation, a subset of multi-objective optimisation, involves optimisation problems with more than three objectives. As the number of objectives increases, the number of solutions needed to adequately represent the entire…

Artificial Intelligence · Computer Science 2026-04-13 Chao Jiang , Jingyu Huang , Miqing Li

Given multiple non-convex objective functions and objective-specific weights, Chebyshev scalarization (CS) is a well-known approach to obtain an Exact Pareto Optimal (EPO), i.e., a solution on the Pareto front (PF) that intersects the ray…

Machine Learning · Computer Science 2023-09-19 Debabrata Mahapatra , Vaibhav Rajan

Traditional robust multi-objective optimization methods typically prioritize convergence while treating robustness as a secondary consideration. This approach can yield solutions that are not genuinely robust optimal under noise-affected…

Computational Engineering, Finance, and Science · Computer Science 2025-12-01 Lihong Xu , Wenxiang Jiang

Reinforcement Learning from Human Feedback (RLHF) has become a cornerstone for aligning large language models (LLMs) with human values. However, existing approaches struggle to capture the multi-dimensional, distributional nuances of human…

Computation and Language · Computer Science 2025-05-20 Zelei Cheng , Xin-Qiang Cai , Yuting Tang , Pushi Zhang , Boming Yang , Masashi Sugiyama , Xinyu Xing

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

Federated learning (FL) is a new distributed learning paradigm, with privacy, utility, and efficiency as its primary pillars. Existing research indicates that it is unlikely to simultaneously attain infinitesimal privacy leakage, utility…

Machine Learning · Computer Science 2023-05-22 Xiaojin Zhang , Anbu Huang , Lixin Fan , Kai Chen , Qiang Yang

A single language model, even when aligned with labelers through reinforcement learning from human feedback (RLHF), may not suit all human preferences. Recent approaches therefore prefer customization, gathering multi-dimensional feedback,…

Machine Learning · Computer Science 2024-08-20 Zhanhui Zhou , Jie Liu , Jing Shao , Xiangyu Yue , Chao Yang , Wanli Ouyang , Yu Qiao

Pareto Front Learning (PFL) was recently introduced as an efficient method for approximating the entire Pareto front, the set of all optimal solutions to a Multi-Objective Optimization (MOO) problem. In the previous work, the mapping…

Optimization and Control · Mathematics 2023-08-15 Tran Anh Tuan , Long P. Hoang , Dung D. Le , Tran Ngoc Thang

In the application of machine learning to real-life decision-making systems, e.g., credit scoring and criminal justice, the prediction outcomes might discriminate against people with sensitive attributes, leading to unfairness. The commonly…

Machine Learning · Computer Science 2022-03-21 Suyun Liu , Luis Nunes Vicente

We consider the problem of multi-objective optimization (MOO) of expensive black-box functions with the goal of discovering high-quality and diverse Pareto fronts where we are allowed to evaluate a batch of inputs. This problem arises in…

Machine Learning · Computer Science 2024-06-14 Alaleh Ahmadianshalchi , Syrine Belakaria , Janardhan Rao Doppa

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

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

Optimization of materials performance for specific applications often requires balancing multiple aspects of materials functionality. Even for the cases where generative physical model of material behavior is known and reliable, this often…

Materials Science · Physics 2021-12-15 Arpan Biswas , Anna N. Morozovska , Maxim Ziatdinov , Eugene A. Eliseev , Sergei V. Kalinin

We present a novel approach to help decision-makers efficiently identify preferred solutions from the Pareto set of a multi-objective optimization problem. Our method uses a Bayesian model to estimate the decision-maker's utility function…

Machine Learning · Statistics 2025-11-13 Felix Huber , Sebastian Rojas Gonzalez , Raul Astudillo

The evaluation of fairness models in Machine Learning involves complex challenges, such as defining appropriate metrics, balancing trade-offs between utility and fairness, and there are still gaps in this stage. This work presents a novel…

Machine Learning · Computer Science 2026-03-03 Gökhan Özbulak , Oscar Jimenez-del-Toro , Maíra Fatoretto , Lilian Berton , André Anjos

Many-Objective Feature Selection (MOFS) approaches use four or more objectives to determine the relevance of a subset of features in a supervised learning task. As a consequence, MOFS typically returns a large set of non-dominated…

Machine Learning · Computer Science 2023-12-01 Uchechukwu F. Njoku , Alberto Abelló , Besim Bilalli , Gianluca Bontempi

In multiparty multiobjective optimization problems, solution sets are usually evaluated using classical performance metrics, aggregated across DMs. However, such mean-based evaluations may be unfair by favoring certain parties, as they…

Neural and Evolutionary Computing · Computer Science 2026-02-02 Zifan Zhao , Peilan Xu , Wenjian Luo

Large language models (LLMs) are increasingly deployed in real-world applications that require careful balancing of multiple, often conflicting, objectives, such as informativeness versus conciseness, or helpfulness versus creativity.…

Machine Learning · Computer Science 2025-08-12 Qiang He , Setareh Maghsudi

We consider the subset selection problem for function $f$ with constraint bound $B$ that changes over time. Within the area of submodular optimization, various greedy approaches are commonly used. For dynamic environments we observe that…

Data Structures and Algorithms · Computer Science 2021-10-12 Vahid Roostapour , Aneta Neumann , Frank Neumann , Tobias Friedrich