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Expensive multi-objective optimization problems can be found in many real-world applications, where their objective function evaluations involve expensive computations or physical experiments. It is desirable to obtain an approximate Pareto…

Neural and Evolutionary Computing · Computer Science 2022-10-18 Xi Lin , Zhiyuan Yang , Xiaoyuan Zhang , Qingfu Zhang

In several multiobjective decision problems Pairwise Comparison Matrices (PCM) are applied to evaluate the decision variants. The problem that arises very often is the inconsistency of a given PCM. In such a situation it is important to…

Optimization and Control · Mathematics 2024-12-10 Marcin Anholcer , Janos Fülöp

This paper investigates multi-objective reinforcement learning (MORL), which focuses on learning Pareto optimal policies in the presence of multiple reward functions. Despite MORL's significant empirical success, there is still a lack of…

Machine Learning · Computer Science 2024-07-25 Shuang Qiu , Dake Zhang , Rui Yang , Boxiang Lyu , Tong Zhang

The balance between convergence and diversity is a key issue of evolutionary multi-objective optimization. The recently proposed stable matching-based selection provides a new perspective to handle this balance under the framework of…

Neural and Evolutionary Computing · Computer Science 2017-01-26 Mengyuan Wu , Ke Li , Sam Kwong , Yu Zhou , Qingfu Zhang

Black-box and preference-based optimization algorithms are global optimization procedures that aim to find the global solutions of an optimization problem using, respectively, the least amount of function evaluations or sample comparisons…

Optimization and Control · Mathematics 2022-02-04 Davide Previtali , Mirko Mazzoleni , Antonio Ferramosca , Fabio Previdi

The paper considers the problem of multi-objective decision support when outcomes are uncertain. We extend the concept of Pareto-efficient decisions to take into account the uncertainty of decision outcomes across varying contexts. This…

Machine Learning · Statistics 2021-10-20 Sofia Ek , Dave Zachariah , Petre Stoica

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

Optimization of three-dimensional road alignments is a nonlinear non-convex optimization problem. The development of models that fully optimize a three-dimensional road alignment problem is challenging due to numerous factors involved and…

Optimization and Control · Mathematics 2016-02-04 D. Hirpa , W. Hare , Y. Lucet , Y. Pushak , S. Tesfamariam

Model merging has shown great promise at combining expert models, but the benefit of merging is unclear when merging "generalist" models trained on many tasks. We explore merging in the context of large (~100B) models, by recycling…

Computation and Language · Computer Science 2025-02-05 Muhammad Khalifa , Yi-Chern Tan , Arash Ahmadian , Tom Hosking , Honglak Lee , Lu Wang , Ahmet Üstün , Tom Sherborne , Matthias Gallé

The fairness-accuracy trade-off is a key challenge in NLP tasks. Current work focuses on finding a single "optimal" solution to balance the two objectives, which is limited considering the diverse solutions on the Pareto front. This work…

Machine Learning · Computer Science 2025-09-18 Yongkang Du , Jieyu Zhao , Yijun Yang , Tianyi Zhou

Stochastic Multi-Objective Optimization (SMOO) is critical for decision-making trading off multiple potentially conflicting objectives in uncertain environments. SMOO aims at identifying the Pareto frontier, which contains all mutually…

Machine Learning · Computer Science 2026-04-02 Jinzhao Li , Nan Jiang , Yexiang Xue

Finding specific preference-guided Pareto solutions that represent different trade-offs among multiple objectives is critical yet challenging in multi-objective problems. Existing methods are restrictive in preference definitions and/or…

Machine Learning · Computer Science 2025-03-28 Lisha Chen , AFM Saif , Yanning Shen , Tianyi Chen

Multi-objective optimization (MOO) problems are prevalent in machine learning. These problems have a set of optimal solutions, called the Pareto front, where each point on the front represents a different trade-off between possibly…

Machine Learning · Computer Science 2021-04-27 Aviv Navon , Aviv Shamsian , Gal Chechik , Ethan Fetaya

This paper studies a class of multi-robot coordination problems where a team of robots aim to reach their goal regions with minimum time and avoid collisions with obstacles and other robots. A novel numerical algorithm is proposed to…

Optimization and Control · Mathematics 2020-09-02 Guoxiang Zhao , Minghui Zhu

Optimization of accelerator performance parameters is limited by numerous trade-offs and finding the appropriate balance between optimization goals for an unknown system is challenging to achieve. Here we show that multi-objective Bayesian…

Accelerator Physics · Physics 2023-03-29 F. Irshad , C. Eberle , F. M. Foerster , K. v. Grafenstein , F. Haberstroh , E. Travac , N. Weisse , S. Karsch , A. Döpp

In this paper, we propose a variable metric method for unconstrained multiobjective optimization problems (MOPs). First, a sequence of points is generated using different positive definite matrices in the generic framework. It is proved…

Optimization and Control · Mathematics 2022-07-18 Jian Chen , Gaoxi Li , Xinmin Yang

In evolutionary multi-objective optimization, the indicator-based subset selection problem involves finding a subset of points that maximizes a given quality indicator. Local search is an effective approach for obtaining a high-quality…

Neural and Evolutionary Computing · Computer Science 2025-03-07 Keisuke Korogi , Ryoji Tanabe

Human preferences are not always represented via complete linear orders: It is natural to employ partially-ordered preferences for expressing incomparable outcomes. In this work, we consider decision-making and probabilistic planning in…

Robotics · Computer Science 2024-10-21 Hazhar Rahmani , Abhishek N. Kulkarni , Jie Fu

Real-world optimization problems often do not just involve multiple objectives but also uncertain parameters. In this case, the goal is to find Pareto-optimal solutions that are robust, i.e., reasonably good under all possible realizations…

Optimization and Control · Mathematics 2023-11-06 Fabian Chlumsky-Harttmann , Marie Schmidt , Anita Schöbel

In the a posteriori approach of multiobjective optimization the Pareto front is approximated by a finite set of solutions in the objective space. The quality of the approximation can be measured by different indicators that take into…

Artificial Intelligence · Computer Science 2015-03-27 Luis Marti , Christian Grimme , Pascal Kerschke , Heike Trautmann , Günter Rudolph