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Optimization of conflicting functions is of paramount importance in decision making, and real world applications frequently involve data that is uncertain or unknown, resulting in multi-objective optimization (MOO) problems of stochastic…

Numerical Analysis · Mathematics 2021-02-08 Suyun Liu , Luis Nunes Vicente

Pareto optimization via evolutionary multi-objective algorithms has been shown to efficiently solve constrained monotone submodular functions. Traditionally when solving multiple problems, the algorithm is run for each problem separately.…

Neural and Evolutionary Computing · Computer Science 2026-04-17 Liam Wigney , Frank Neumann

In this article using Cuckoo Optimization Algorithm and simple additive weighting method the hybrid COAW algorithm is presented to solve multi-objective problems. Cuckoo algorithm is an efficient and structured method for solving nonlinear…

Neural and Evolutionary Computing · Computer Science 2016-11-03 Zeinab Borhanifar , Elham Shadkam

Hyperparameter optimization constitutes a large part of typical modern machine learning workflows. This arises from the fact that machine learning methods and corresponding preprocessing steps often only yield optimal performance when…

Dynamic multi-objective optimization (DMOO) has recently attracted increasing interest from both academic researchers and engineering practitioners, as numerous real-world applications that evolve over time can be naturally formulated as…

Neural and Evolutionary Computing · Computer Science 2026-01-06 Chang Shao , Qi Zhao , Nana Pu , Shi Cheng , Jing Jiang , Yuhui Shi

Imaging in radioastronomy is an ill-posed inverse problem. Particularly the Event Horizon Telescope (EHT) Collaboration investigated the fidelity of their image reconstructions convincingly by large surveys solving the problem with…

Instrumentation and Methods for Astrophysics · Physics 2023-07-05 Hendrik Müller , Alejandro Mus , Andrei Lobanov

The quality of solution sets generated by decomposition-based evolutionary multiobjective optimisation (EMO) algorithms depends heavily on the consistency between a given problem's Pareto front shape and the specified weights' distribution.…

Neural and Evolutionary Computing · Computer Science 2017-09-11 Miqing Li , Xin Yao

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

Multi-objective Bayesian optimization aims to find the Pareto front of trade-offs between a set of expensive objectives while collecting as few samples as possible. In some cases, it is possible to evaluate the objectives separately, and a…

Machine Learning · Statistics 2025-03-04 Jack M. Buckingham , Sebastian Rojas Gonzalez , Juergen Branke

Many real-world applications involve black-box optimization of multiple objectives using continuous function approximations that trade-off accuracy and resource cost of evaluation. For example, in rocket launching research, we need to find…

Machine Learning · Statistics 2020-11-24 Syrine Belakaria , Aryan Deshwal , Janardhan Rao Doppa

Post-alignment of large language models (LLMs) is critical in improving their utility, safety, and alignment with human intentions. Direct preference optimisation (DPO) has become one of the most widely used algorithms for achieving this…

Machine Learning · Computer Science 2025-01-06 Rasul Tutnov , Antoine Grosnit , Haitham Bou-Ammar

The fitting of physical models is often done only using a single target observable. However, when multiple targets are considered, the fitting procedure becomes cumbersome, there being no easy way to quantify the robustness of the model for…

Chemical Physics · Physics 2022-01-12 Rodrigo A. Vargas-Hernández , Chern Chuang , Paul Brumer

Multi-objective optimization (MOO) aims at finding a set of optimal configurations for a given set of objectives. A recent line of work applies MOO methods to the typical Machine Learning (ML) setting, which becomes multi-objective if a…

Machine Learning · Computer Science 2021-10-15 Michael Ruchte , Josif Grabocka

We propose a novel framework for optimizing injection strategies in large-scale CO$_2$ storage combining multi-agent models with multi-objective optimization, and reservoir simulation. We investigate whether agents should form coalitions…

Numerical Analysis · Mathematics 2024-06-13 Per Pettersson , Sebastian Krumscheid , Sarah Gasda

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

Multimodal multi-objective problems (MMOPs) commonly arise in real-world problems where distant solutions in decision space correspond to very similar objective values. To obtain all solutions for MMOPs, many multimodal multi-objective…

Neural and Evolutionary Computing · Computer Science 2023-01-31 Wenhua Li , Tao Zhang , Rui Wang , Jing Liang

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

This paper introduces the first objective space algorithm which can exactly find all supported and non-supported non-dominated solutions to a mixed-integer multi-objective linear program with an arbitrary number of objective functions. This…

Optimization and Control · Mathematics 2019-09-10 William Pettersson , Melih Ozlen

As machine learning (ML) applications grow increasingly complex in recent years, modern ML frameworks often need to address multiple potentially conflicting objectives with coupled decision variables across different layers. This creates a…

Machine Learning · Computer Science 2025-11-12 Zhiyao Zhang , Zhuqing Liu , Xin Zhang , Wen-Yen Chen , Jiyan Yang , Jia Liu

Most real-world Planning problems are multi-objective, trying to minimize both the makespan of the solution plan, and some cost of the actions involved in the plan. But most, if not all existing approaches are based on single-objective…

Artificial Intelligence · Computer Science 2013-05-07 Mostepha Redouane Khouadjia , Marc Schoenauer , Vincent Vidal , Johann Dréo , Pierre Savéant