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Multi-Objective Optimization (MOO) techniques have become increasingly popular in recent years due to their potential for solving real-world problems in various fields, such as logistics, finance, environmental management, and engineering.…

Neural and Evolutionary Computing · Computer Science 2024-07-15 Noor A. Rashed , Yossra H. Ali , Tarik A. Rashid , A. Salih

Choices in scientific research and management require balancing multiple, often competing objectives.Multiple-objective optimization (MOO) provides a unifying framework for solving multiple objective problems. Model selection is a critical…

Applications · Statistics 2018-10-26 Perry Williams , William Kendall , Mevin Hooten

Multiobjective optimization (MOO) is prevalent in numerous applications, in which a Pareto front (PF) is constructed to display optima under various preferences. Previous methods commonly utilize the set of Pareto objectives (particles on…

Machine Learning · Computer Science 2024-02-16 Xiaoyuan Zhang , Xi Lin , Yichi Zhang , Yifan Chen , Qingfu Zhang

Multiple-objective optimization (MOO) aims to simultaneously optimize multiple conflicting objectives and has found important applications in machine learning, such as minimizing classification loss and discrepancy in treating different…

Machine Learning · Computer Science 2022-09-16 Eric Enouen , Katja Mathesius , Sean Wang , Arielle Carr , Sihong Xie

Many complex systems obey to optimality conditions that are usually not simple. Conflicting traits often interact making a Multi Objective Optimization (MOO) approach necessary. Recent MOO research on complex systems report about the Pareto…

Physics and Society · Physics 2015-09-16 Luís F. Seoane , Ricard Solé

Optimization has found numerous applications in engineering, particularly since 1960s. Many optimization applications in engineering have more than one objective (or performance criterion). Such applications require multi-objective (or…

Chemical Physics · Physics 2024-07-16 Zhiyuan Wang , Seyed Reza Nabavi , Gade Pandu Rangaiah

In contrast to single-objective optimization (SOO), multi-objective optimization (MOO) requires an optimizer to find the Pareto frontier, a subset of feasible solutions that are not dominated by other feasible solutions. In this paper, we…

Machine Learning · Computer Science 2024-08-13 Yiyang Zhao , Linnan Wang , Kevin Yang , Tianjun Zhang , Tian Guo , Yuandong Tian

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

3D Mixed Reality interfaces have nearly unlimited space for layout placement, making automatic UI adaptation crucial for enhancing the user experience. Such adaptation is often formulated as a multi-objective optimization (MOO) problem,…

Human-Computer Interaction · Computer Science 2025-09-24 Yao Song , Christoph Gebhardt , Yi-Chi Liao , Christian Holz

Many machine learning tasks aim to find models that work well not for a single, but for a group of criteria, often opposing ones. One such example is imbalanced data classification, where, on the one hand, we want to achieve the best…

Machine Learning · Computer Science 2025-11-18 Szymon Wojciechowski , Michał Woźniak

Multi-objective optimization is a widely studied problem in diverse fields, such as engineering and finance, that seeks to identify a set of non-dominated solutions that provide optimal trade-offs among competing objectives. However, the…

Neural and Evolutionary Computing · Computer Science 2024-01-15 Arash Heidari , Sebastian Rojas Gonzalez , Tom Dhaene , Ivo Couckuyt

Pareto front profiling in multi-objective optimization (MOO), i.e., finding a diverse set of Pareto optimal solutions, is challenging, especially with expensive objectives that require training a neural network. Typically, in MOO for neural…

Machine Learning · Computer Science 2025-02-06 Rhea Sanjay Sukthanker , Arber Zela , Benedikt Staffler , Samuel Dooley , Josif Grabocka , Frank Hutter

Optimization problems have been the subject of statistical physics approximations. A specially relevant and general scenario is provided by optimization methods considering tradeoffs between cost and efficiency, where optimal solutions…

Statistical Mechanics · Physics 2015-09-16 Luís F. Seoane , Ricard V. Solé

Multi-objective optimization (MOO) is a prevalent challenge for Deep Learning, however, there exists no scalable MOO solution for truly deep neural networks. Prior work either demand optimizing a new network for every point on the Pareto…

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

Multi-objective optimization (MOO) problems require balancing competing objectives, often under constraints. The Pareto optimal solution set defines all possible optimal trade-offs over such objectives. In this work, we present a novel…

Machine Learning · Computer Science 2022-04-19 Soumyajit Gupta , Gurpreet Singh , Raghu Bollapragada , Matthew Lease

Post-training of LLMs with RLHF, and subsequently preference optimization algorithms such as DPO, IPO, etc., made a big difference in improving human alignment. However, all such techniques can only work with a single (human) objective. In…

Machine Learning · Computer Science 2025-05-19 Akhil Agnihotri , Rahul Jain , Deepak Ramachandran , Zheng Wen

There are a lot of real-world black-box optimization problems that need to optimize multiple criteria simultaneously. However, in a multi-objective optimization (MOO) problem, identifying the whole Pareto front requires the prohibitive…

Machine Learning · Computer Science 2023-11-23 Ryota Ozaki , Kazuki Ishikawa , Youhei Kanzaki , Shinya Suzuki , Shion Takeno , Ichiro Takeuchi , Masayuki Karasuyama

Many modern deep learning applications require balancing multiple objectives that are often conflicting. Examples include multi-task learning, fairness-aware learning, and the alignment of Large Language Models (LLMs). This leads to…

Machine Learning · Computer Science 2025-08-07 Weiyu Chen , Baijiong Lin , Xiaoyuan Zhang , Xi Lin , Han Zhao , Qingfu Zhang , James T. Kwok

Multi-Objective Optimization (MOO) is an important problem in real-world applications. However, for a non-trivial problem, no single solution exists that can optimize all the objectives simultaneously. In a typical MOO problem, the goal is…

Machine Learning · Computer Science 2024-09-17 Zhang Haishan , Diptesh Das , Koji Tsuda

Multi-Objective Alignment (MOA) aims to align LLMs' responses with multiple human preference objectives, with Direct Preference Optimization (DPO) emerging as a prominent approach. However, we find that DPO-based MOA approaches suffer from…

Machine Learning · Computer Science 2025-12-09 Moxin Li , Yuantao Zhang , Wenjie Wang , Wentao Shi , Zhuo Liu , Fuli Feng , Tat-Seng Chua
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