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It is a very challenging task to identify the objectives on which a certain decision was based, in particular if several, potentially conflicting criteria are equally important and a continuous set of optimal compromise decisions exists.…

Optimization and Control · Mathematics 2021-03-05 Bennet Gebken , Sebastian Peitz

Prior work in multi-objective reinforcement learning typically uses linear reward scalarization with fixed weights, which provably fails to capture non-convex Pareto fronts and thus yields suboptimal results. This limitation becomes…

Machine Learning · Computer Science 2026-04-01 Yining Lu , Zilong Wang , Shiyang Li , Xin Liu , Changlong Yu , Qingyu Yin , Zhan Shi , Zixuan Zhang , Meng Jiang

We consider the problem of multi-objective (MO) blackbox optimization using expensive function evaluations, where the goal is to approximate the true Pareto set of solutions while minimizing the number of function evaluations. For example,…

Machine Learning · Computer Science 2022-04-13 Syrine Belakaria , Aryan Deshwal , Nitthilan Kannappan Jayakodi , Janardhan Rao Doppa

This study explores the ways to introduce physical interpretability into the process of optimizing operating rules for multireservoir systems with multiple objectives. Prior studies applied the concept of direct policy search (DPS), in…

Physics and Society · Physics 2020-01-28 Josias Ritter , Gerald Corzo , Dimitri P. Solomatine , H. Angarita

This paper tackles the short-term hydro-power unit commitment problem in a multi-reservoir system - a cascade-based operation scenario. For this, we propose a new mathematical modelling in which the goal is to maximize the total energy…

Neural and Evolutionary Computing · Computer Science 2021-10-27 C. G. Marcelino , G. M. C. Leite , C. A. D. M Delgado , L. B. de Oliveira , E. F. Wanner , S. Jiménez-Fernández , S. Salcedo-Sanz

This paper introduces a high-performance hybrid algorithm, called Hybrid Hypervolume Maximization Algorithm (H2MA), for multi-objective optimization that alternates between exploring the decision space and exploiting the already obtained…

Neural and Evolutionary Computing · Computer Science 2015-06-18 Conrado Silva Miranda , Fernando José Von Zuben

In this work, we propose integral global optimality conditions for multiobjective problems not necessarily differentiable. The integral characterization, already known for single objective problems, are extended to multiobjective problems…

Optimization and Control · Mathematics 2025-09-16 Everton J. Silva , Elizabeth W. Karas , Lucelina B. Santos

Neural Architecture Search (NAS) has become a popular method for discovering effective model architectures, especially for target hardware. As such, NAS methods that find optimal architectures under constraints are essential. In our paper,…

Machine Learning · Computer Science 2023-04-25 Yicheng Fan , Dana Alon , Jingyue Shen , Daiyi Peng , Keshav Kumar , Yun Long , Xin Wang , Fotis Iliopoulos , Da-Cheng Juan , Erik Vee

This paper presents a multi-objective version of the Cat Swarm Optimization Algorithm called the Grid-based Multi-objective Cat Swarm Optimization Algorithm (GMOCSO). Convergence and diversity preservation are the two main goals pursued by…

Neural and Evolutionary Computing · Computer Science 2025-02-28 Aram M. Ahmed , Bryar A. Hassan , Tarik A. Rashid , Kaniaw A. Noori , Soran Ab. M. Saeed , Omed H. Ahmed , Shahla U. Umar

In this paper, a discrete state transition algorithm is introduced to solve a multiobjective single machine job shop scheduling problem. In the proposed approach, a non-dominated sort technique is used to select the best from a candidate…

Optimization and Control · Mathematics 2015-09-22 Xiaojun Zhou

When solving large-scale multiobjective optimization problems, solvers can get stuck with the memory or time limit. In such cases, one is left with no information how far is the best feasible solution, found before the optimization process…

Optimization and Control · Mathematics 2017-11-13 Ignacy Kaliszewski

We propose a new algorithm to the problem of polygonal curve approximation based on a multiresolution approach. This algorithm is suboptimal but still maintains some optimality between successive levels of resolution using dynamic…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Pierre-François Marteau , Gilbas Ménier

In addition to the best model architecture and hyperparameters, a full AutoML solution requires selecting appropriate hardware automatically. This can be framed as a multi-objective optimization problem: there is not a single best hardware…

Machine Learning · Computer Science 2021-06-11 David Salinas , Valerio Perrone , Olivier Cruchant , Cedric Archambeau

We present PESMO, a Bayesian method for identifying the Pareto set of multi-objective optimization problems, when the functions are expensive to evaluate. The central idea of PESMO is to choose evaluation points so as to maximally reduce…

Machine Learning · Statistics 2016-02-23 Daniel Hernández-Lobato , José Miguel Hernández-Lobato , Amar Shah , Ryan P. Adams

For general multi-objective optimization problems, we propose a novel performance metric called domination measure to measure the quality of a solution, which can be intuitively interpreted as the size of the portion of the solution space…

Optimization and Control · Mathematics 2016-12-26 Joshua Q Hale , Helin Zhu , Enlu Zhou

Multiobjective design optimization problems require multiobjective optimization techniques to solve, and it is often very challenging to obtain high-quality Pareto fronts accurately. In this paper, the recently developed flower pollination…

Optimization and Control · Mathematics 2014-08-25 Xin-She Yang , M. Karamanoglu , X. S. He

Achieving both high quality and cost-efficiency are two critical yet often conflicting objectives in manufacturing and maintenance processes. Quality standards vary depending on the specific application, while cost-effectiveness remains a…

Optimization and Control · Mathematics 2025-07-30 Wolfgang Rannetbauer , Simon Hubmer , Carina Hambrock , Ronny Ramlau

Recent advancements in quantum computing and quantum-inspired algorithms have sparked renewed interest in binary optimization. These hardware and software innovations promise to revolutionize solution times for complex problems. In this…

Most multi-objective optimisation algorithms maintain an archive explicitly or implicitly during their search. Such an archive can be solely used to store high-quality solutions presented to the decision maker, but in many cases may…

Neural and Evolutionary Computing · Computer Science 2023-09-15 Miqing Li , Manuel López-Ibáñez , Xin Yao

Multi-objective Markov decision processes are a special kind of multi-objective optimization problem that involves sequential decision making while satisfying the Markov property of stochastic processes. Multi-objective reinforcement…

Machine Learning · Computer Science 2023-08-22 Sherif Abdelfattah , Kathryn Kasmarik , Jiankun Hu