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Convex quadratic objective functions are an important base case in state-of-the-art benchmark collections for single-objective optimization on continuous domains. Although often considered rather simple, they represent the highly relevant…

Neural and Evolutionary Computing · Computer Science 2019-04-04 Tobias Glasmachers

While real-world decisions involve many competing objectives, algorithmic decisions are often evaluated with a single objective function. In this paper, we study algorithmic policies which explicitly trade off between a private objective…

Machine Learning · Computer Science 2020-07-17 Esther Rolf , Max Simchowitz , Sarah Dean , Lydia T. Liu , Daniel Björkegren , Moritz Hardt , Joshua Blumenstock

Recently, there has been a renewed interest in decomposition-based approaches for evolutionary multiobjective optimization. However, the impact of the choice of the underlying scalarizing function(s) is still far from being well understood.…

Artificial Intelligence · Computer Science 2014-09-22 Bilel Derbel , Dimo Brockhoff , Arnaud Liefooghe , Sébastien Verel

Multi-objective symbolic regression has the advantage that while the accuracy of the learned models is maximized, the complexity is automatically adapted and need not be specified a-priori. The result of the optimization is not a single…

Machine Learning · Computer Science 2021-09-02 Michael Kommenda , Andreas Beham , Michael Affenzeller , Gabriel Kronberger

In general, a multi-objective optimization problem does not have a single optimal solution but a set of Pareto optimal solutions, which forms the Pareto front in the objective space. Various evolutionary algorithms have been proposed to…

Neural and Evolutionary Computing · Computer Science 2020-06-16 Hisao Ishibuchi , Lie Meng Pang , Ke Shang

When a robot autonomously performs a complex task, it frequently must balance competing objectives while maintaining safety. This becomes more difficult in uncertain environments with stochastic outcomes. Enhancing transparency in the…

Robotics · Computer Science 2024-06-19 Peter Amorese , Shohei Wakayama , Nisar Ahmed , Morteza Lahijanian

Multi-objective reinforcement learning (MORL) plays a pivotal role in addressing multi-criteria decision-making problems in the real world. The multi-policy (MP) based methods are widely used to obtain high-quality Pareto front…

Machine Learning · Computer Science 2025-08-05 Zeyu Zhao , Yueling Che , Kaichen Liu , Jian Li , Junmei Yao

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

Evolutionary algorithms are popular algorithms for multiobjective optimisation (also called Pareto optimisation) as they use a population to store trade-offs between different objectives. Despite their popularity, the theoretical foundation…

Neural and Evolutionary Computing · Computer Science 2023-12-05 Duc-Cuong Dang , Andre Opris , Dirk Sudholt

Expensive multi-objective optimization is a prevalent and crucial concern in many real-world scenarios, where sample-efficiency is vital due to the limited evaluations to recover the true Pareto front for decision making. Existing works…

Machine Learning · Computer Science 2026-02-03 Yiming Yao , Fei Liu , Liang Zhao , Xi Lin , Yilu Liu , 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

The paper is devoted to the study of regularized versions of multiobjective optimization problems described by directionally Lipschitzian functions. Such regularizations appear in proximal-type algorithms of multiobjective optimization,…

Optimization and Control · Mathematics 2025-11-21 G. C. Bento , J. X. Cruz Neto , J. O. Lopes , B. S. Mordukhovich , P. R. Silva Filho

Aligning large language models with multiple human expectations and values is crucial for ensuring that they adequately serve a variety of user needs. To this end, offline multiobjective alignment algorithms such as the Rewards-in-Context…

Machine Learning · Computer Science 2026-01-01 Haoran Gu , Handing Wang , Yi Mei , Mengjie Zhang , Yaochu Jin

Designing fair algorithmic decision systems requires balancing model performance with fairness toward affected individuals: More fairness might require sacrificing some performance and vice versa, yet the space of possible trade-offs is…

Machine Learning · Computer Science 2026-05-12 Mieke Wilms , Christoph Heitz

Allocation and planning with a collection of tasks and a group of agents is an important problem in multiagent systems. One commonly faced bottleneck is scalability, as in general the multiagent model increases exponentially in size with…

Multiagent Systems · Computer Science 2023-05-09 Thomas Robinson , Guoxin Su

Hyperparameter optimization (HPO) is important to leverage the full potential of machine learning (ML). In practice, users are often interested in multi-objective (MO) problems, i.e., optimizing potentially conflicting objectives, like…

Machine Learning · Computer Science 2024-01-12 Joseph Giovanelli , Alexander Tornede , Tanja Tornede , Marius Lindauer

Rapid development of evolutionary algorithms in handling many-objective optimization problems requires viable methods of visualizing a high-dimensional solution set. Parallel coordinates which scale well to high-dimensional data are such a…

Neural and Evolutionary Computing · Computer Science 2017-05-02 Miqing Li , Liangli Zhen , Xin Yao

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

Multi-modal multi-objective optimization is to locate (almost) equivalent Pareto optimal solutions as many as possible. Some evolutionary algorithms for multi-modal multi-objective optimization have been proposed in the literature. However,…

Neural and Evolutionary Computing · Computer Science 2020-10-02 Ryoji Tanabe , Hisao Ishibuchi

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