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Multi-task learning, which optimizes performance across multiple tasks, is inherently a multi-objective optimization problem. Various algorithms are developed to provide discrete trade-off solutions on the Pareto front. Recently, continuous…

Machine Learning · Computer Science 2024-07-31 Weiyu Chen , James T. Kwok

Multiobjective combinatorial optimization deals with problems considering more than one viewpoint or scenario. The problem of aggregating multiple criteria to obtain a globalizing objective function is of special interest when the number of…

Optimization and Control · Mathematics 2013-06-07 Elena Fernández , Miguel A. Pozo , Justo Puerto

Most existing studies on evolutionary multi-objective optimization focus on approximating the whole Pareto-optimal front. Nevertheless, rather than the whole front, which demands for too many points (especially in a high-dimensional space),…

Neural and Evolutionary Computing · Computer Science 2017-01-24 Ke Li , Kalyanmoy Deb , Xin Yao

We consider bi-objective ranking and selection problems, where the goal is to correctly identify the Pareto optimal solutions among a finite set of candidates for which the two objective outcomes have been observed with uncertainty (e.g.,…

Machine Learning · Statistics 2024-03-29 Sebastian Rojas Gonzalez , Juergen Branke , Inneke van Nieuwenhuyse

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

In multi-task learning, multiple tasks are solved jointly, sharing inductive bias between them. Multi-task learning is inherently a multi-objective problem because different tasks may conflict, necessitating a trade-off. A common compromise…

Machine Learning · Computer Science 2019-01-14 Ozan Sener , Vladlen Koltun

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

The issue of fairness in recommendation is becoming increasingly essential as Recommender Systems touch and influence more and more people in their daily lives. In fairness-aware recommendation, most of the existing algorithmic approaches…

Information Retrieval · Computer Science 2022-01-04 Yingqiang Ge , Xiaoting Zhao , Lucia Yu , Saurabh Paul , Diane Hu , Chu-Cheng Hsieh , Yongfeng Zhang

Autonomous navigation often requires the simultaneous optimization of multiple objectives. The most common approach scalarizes these into a single cost function using a weighted sum, but this method is unable to find all possible trade-offs…

Robotics · Computer Science 2026-04-07 Krishna Kalavadia , Shamak Dutta , Yash Vardhan Pant , Stephen L. Smith

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

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…

Artificial Intelligence · Computer Science 2012-10-19 Radu Marinescu , Abdul Razak , Nic Wilson

An important benefit of multi-objective search is that it maintains a diverse population of candidates, which helps in deceptive problems in particular. Not all diversity is useful, however: candidates that optimize only one objective while…

Neural and Evolutionary Computing · Computer Science 2019-06-11 Hormoz Shahrzad , Daniel Fink , Risto Miikkulainen

Multi-task learning solves multiple correlated tasks. However, conflicts may exist between them. In such circumstances, a single solution can rarely optimize all the tasks, leading to performance trade-offs. To arrive at a set of optimized…

Artificial Intelligence · Computer Science 2024-03-26 Lu Bai , Abhishek Gupta , Yew-Soon Ong

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

Optimizing nonlinear systems involving expensive computer experiments with regard to conflicting objectives is a common challenge. When the number of experiments is severely restricted and/or when the number of objectives increases,…

Machine Learning · Statistics 2019-07-16 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

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…

Machine Learning · Computer Science 2026-02-13 Esha Singh , Dongxia Wu , Chien-Yi Yang , Tajana Rosing , Rose Yu , Yi-An Ma

Many-objective optimisation, a subset of multi-objective optimisation, involves optimisation problems with more than three objectives. As the number of objectives increases, the number of solutions needed to adequately represent the entire…

Artificial Intelligence · Computer Science 2026-04-13 Chao Jiang , Jingyu Huang , Miqing Li

We propose a novel numerical approach to compute the Pareto front in multivariate polynomial multi-objective optimization problems. When the objective functions and (equality) constraints are multivariate polynomials, the Pareto front,…

Optimization and Control · Mathematics 2026-04-06 Hans van Rooij , Christof Vermeersch , Marie Deferme , Bart De Moor

We present a novel approach to help decision-makers efficiently identify preferred solutions from the Pareto set of a multi-objective optimization problem. Our method uses a Bayesian model to estimate the decision-maker's utility function…

Machine Learning · Statistics 2025-11-13 Felix Huber , Sebastian Rojas Gonzalez , Raul Astudillo

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