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In this paper, we are concerned with a worst-case complexity analysis of a-posteriori algorithms for unconstrained multiobjective optimization. Specifically, we propose an algorithmic framework that generates sets of points by means of…

Optimization and Control · Mathematics 2025-06-16 Andrea Cristofari , Marianna De Santis , Stefano Lucidi , Giampaolo Liuzzi

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

We study Pareto optimality in multi-objective multi-armed bandit by providing a formulation of adversarial multi-objective multi-armed bandit and defining its Pareto regrets that can be applied to both stochastic and adversarial settings.…

Machine Learning · Computer Science 2023-06-01 Mengfan Xu , Diego Klabjan

Maximizing a single submodular set function subject to a cardinality constraint is a well-studied and central topic in combinatorial optimization. However, finding a set that maximizes multiple functions at the same time is much less…

Data Structures and Algorithms · Computer Science 2025-05-16 Fabian Spaeh , Atsushi Miyauchi

Many real-world applications require solving families of expensive multi-objective optimization problems~(EMOPs) under varying operational conditions. This can be formulated as parametric expensive multi-objective optimization problems…

Machine Learning · Computer Science 2026-05-11 Tingyang Wei , Jiao Liu , Abhishek Gupta , Chin Chun Ooi , Puay Siew Tan , Yew-Soon Ong

Society increasingly relies on machine learning models for automated decision making. Yet, efficiency gains from automation have come paired with concern for algorithmic discrimination that can systematize inequality. Recent work has…

Computers and Society · Computer Science 2018-11-08 Alejandro Noriega-Campero , Michiel A. Bakker , Bernardo Garcia-Bulle , Alex Pentland

The goal of diagnosis is to compute good repair strategies in response to anomalous system behavior. In a decision theoretic framework, a good repair strategy has low expected cost. In a general formulation of the problem, the computation…

Artificial Intelligence · Computer Science 2013-02-21 Sampath Srinivas

Multi-objective optimization is central to many engineering and machine learning applications, where multiple objectives must be optimized in balance. While multi-gradient based optimization methods combine these objectives in each step,…

Optimization and Control · Mathematics 2026-05-13 Trang H. Tran , Luis Nunes Vicente

Sequential decision-making problems with multiple objectives arise naturally in practice and pose unique challenges for research in decision-theoretic planning and learning, which has largely focused on single-objective settings. This…

Artificial Intelligence · Computer Science 2014-02-05 Diederik Marijn Roijers , Peter Vamplew , Shimon Whiteson , Richard Dazeley

This paper provides a novel framework for solving multiobjective discrete optimization problems with an arbitrary number of objectives. Our framework formulates these problems as network models, in that enumerating the Pareto frontier…

Optimization and Control · Mathematics 2018-09-06 David Bergman , Merve Bodur , Carlos Cardonha , Andre A. Cire

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

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

Software quality estimation is a challenging and time-consuming activity, and models are crucial to face the complexity of such activity on modern software applications. One main challenge is that the improvement of distinctive quality…

Software Engineering · Computer Science 2022-12-19 Vittorio Cortellessa , Daniele Di Pompeo , Vincenzo Stoico , Michele Tucci

It has been shown that dimension reduction methods such as PCA may be inherently prone to unfairness and treat data from different sensitive groups such as race, color, sex, etc., unfairly. In pursuit of fairness-enhancing dimensionality…

Machine Learning · Computer Science 2020-03-10 Mohammad Mahdi Kamani , Farzin Haddadpour , Rana Forsati , Mehrdad Mahdavi

Decision-makers often have access to machine-learned predictions about future demand that can help guide online resource allocation decisions. However, such predictions may be inaccurate. We develop a framework for online resource…

Data Structures and Algorithms · Computer Science 2026-05-19 Negin Golrezaei , Patrick Jaillet , Zijie Zhou

In this work, we study the problem of finding Pareto optimal policies in multi-agent reinforcement learning problems with cooperative reward structures. We show that any algorithm where each agent only optimizes their reward is subject to…

Machine Learning · Computer Science 2024-10-28 Bang Giang Le , Viet Cuong Ta

As generative agents become increasingly capable, alignment of their behavior with complex human values remains a fundamental challenge. Existing approaches often simplify human intent through reduction to a scalar reward, overlooking the…

Machine Learning · Computer Science 2025-07-30 Kalyan Cherukuri , Aarav Lala

Wireless ad hoc networks are seldom characterized by one single performance metric, yet the current literature lacks a flexible framework to assist in characterizing the design tradeoffs in such networks. In this work, we address this…

Networking and Internet Architecture · Computer Science 2010-08-17 Katia Jaffrès-Runser , Cristina Comaniciu , Jean-Marie Gorce

In online minimum cost matching on the line, $n$ requests appear one by one and have to be matched immediately and irrevocably to a given set of servers, all on the real line. The goal is to minimize the sum of distances from the requests…

Data Structures and Algorithms · Computer Science 2020-01-10 Nicole Megow , Lukas Nölke

Selecting a set of alternatives based on the preferences of agents is an important problem in committee selection and beyond. Among the various criteria put forth for the desirability of a committee, Pareto optimality is a minimal and…

Computer Science and Game Theory · Computer Science 2018-03-20 Haris Aziz , Jerome Lang , Jerome Monnot