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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…

机器学习 · 计算机科学 2024-02-16 Xiaoyuan Zhang , Xi Lin , Yichi Zhang , Yifan Chen , Qingfu Zhang

Real-world decision-making tasks are generally complex, requiring trade-offs between multiple, often conflicting, objectives. Despite this, the majority of research in reinforcement learning and decision-theoretic planning either assumes…

Fusion and inference from multiple and massive disparate data sources - the requirement for our most challenging data analysis problems and the goal of our most ambitious statistical pattern recognition methodologies - -has many and varied…

统计方法学 · 统计学 2011-12-26 Carey E. Priebe , David J. Marchette , Zhiliang Ma , Sancar Adali

In this work we formulate and formally characterize group fairness as a multi-objective optimization problem, where each sensitive group risk is a separate objective. We propose a fairness criterion where a classifier achieves minimax risk…

机器学习 · 统计学 2020-11-04 Natalia Martinez , Martin Bertran , Guillermo Sapiro

The R package micompr implements a procedure for assessing if two or more multivariate samples are drawn from the same distribution. The procedure uses principal component analysis to convert multivariate observations into a set of linearly…

数学软件 · 计算机科学 2021-05-11 Nuno Fachada , João Rodrigues , Vitor V. Lopes , Rui C. Martins , Agostinho C. Rosa

A multi-modal multi-objective optimization problem is a special kind of multi-objective optimization problem with multiple Pareto subsets. In this paper, we propose an efficient multi-modal multi-objective optimization algorithm based on…

神经与进化计算 · 计算机科学 2020-04-22 Yiming Peng , Hisao Ishibuchi

Multi-objective recommender systems address the difficult task of recommending items that are relevant to multiple, possibly conflicting, criteria. However these systems are most often designed to address the objective of one single…

信息检索 · 计算机科学 2017-08-04 Phong Nguyen , John Dines , Jan Krasnodebski

Multi-objective optimization can be found in many real-world applications where some conflicting objectives can not be optimized by a single solution. Existing optimization methods often focus on finding a set of Pareto solutions with…

机器学习 · 计算机科学 2026-01-21 Xi Lin , Yilu Liu , Xiaoyuan Zhang , Fei Liu , Zhenkun Wang , Qingfu Zhang

Achieving a just and sustainable transition requires the pursuit of multiple social and environmental targets. Two primary barriers impede this process: (1) targets are often in conflict with each other, and (2) policies aimed at these…

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…

机器学习 · 计算机科学 2025-05-19 Akhil Agnihotri , Rahul Jain , Deepak Ramachandran , Zheng Wen

Joint object matching, also known as multi-image matching, namely, the problem of finding consistent partial maps among all pairs of objects within a collection, is a crucial task in many areas of computer vision. This problem subsumes…

最优化与控制 · 数学 2022-11-29 Antonio De Rosa , Aida Khajavirad

We propose a new Pareto Local Search Algorithm for the many-objective combinatorial optimization. Pareto Local Search proved to be a very effective tool in the case of the bi-objective combinatorial optimization and it was used in a number…

数据结构与算法 · 计算机科学 2017-12-15 Andrzej Jaszkiewicz

Despite the rapid development of large language models (LLMs), a fundamental challenge persists: the lack of high-quality optimization modeling datasets hampers LLMs' robust modeling of practical optimization problems from natural language…

人工智能 · 计算机科学 2025-02-24 Hongliang Lu , Zhonglin Xie , Yaoyu Wu , Can Ren , Yuxuan Chen , Zaiwen Wen

Multi-objective combinatorial optimization seeks Pareto-optimal solutions over exponentially large discrete spaces, yet existing methods sacrifice generality, scalability, or theoretical guarantees. We reformulate it as an online learning…

机器学习 · 计算机科学 2026-02-13 Esha Singh , Dongxia Wu , Chien-Yi Yang , Tajana Rosing , Rose Yu , Yi-An Ma

Machine learning (ML) models are constructed by expert ML practitioners using various coding languages, in which they tune and select models hyperparameters and learning algorithms for a given problem domain. They also carefully design an…

机器学习 · 计算机科学 2021-03-16 Subhajit Das , Alex Endert

Because of the importance of object oriented methodologies, the research in developing new measure for object oriented system development is getting increased focus. The most of the metrics need to find the interactions between the objects…

软件工程 · 计算机科学 2010-08-11 K. M. Azharul Hasan , Mohammad Sabbir Hasan

Because of the importance of object oriented methodologies, the research in developing new measure for object oriented system development is getting increased focus. The most of the metrics need to find the interactions between the objects…

软件工程 · 计算机科学 2010-07-15 K. M. Azharul Hasan , Mohammad Sabbir Hasan

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…

机器学习 · 计算机科学 2025-12-09 Moxin Li , Yuantao Zhang , Wenjie Wang , Wentao Shi , Zhuo Liu , Fuli Feng , Tat-Seng Chua

We describe multi-objective influence diagrams, based on a set of p objectives, where utility values are vectors in Rp, and are typically only partially ordered. These can still be solved by a variable elimination algorithm, leading to a…

人工智能 · 计算机科学 2012-10-19 Radu Marinescu , Abdul Razak , Nic Wilson

Consider a matching problem on a graph where disjoint sets of vertices are privately owned by self-interested agents. An edge between a pair of vertices indicates compatibility and allows the vertices to match. We seek a mechanism to…

计算机科学与博弈论 · 计算机科学 2016-11-25 Itai Ashlagi , Felix Fischer , Ian A. Kash , Ariel D. Procaccia