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Scalarization is a general, parallizable technique that can be deployed in any multiobjective setting to reduce multiple objectives into one, yet some have dismissed this versatile approach because linear scalarizations cannot explore…

机器学习 · 计算机科学 2024-11-06 Qiuyi Zhang

Linear scalarization, i.e., combining all loss functions by a weighted sum, has been the default choice in the literature of multi-task learning (MTL) since its inception. In recent years, there is a surge of interest in developing…

机器学习 · 计算机科学 2023-09-25 Yuzheng Hu , Ruicheng Xian , Qilong Wu , Qiuling Fan , Lang Yin , Han Zhao

The goal of multi-objective optimisation is to identify the Pareto front surface which is the set obtained by connecting the best trade-off points. Typically this surface is computed by evaluating the objectives at different points and then…

机器学习 · 统计学 2024-06-24 Ben Tu , Nikolas Kantas , Robert M. Lee , Behrang Shafei

Robust optimisation is a well-established framework for optimising functions in the presence of uncertainty. The inherent goal of this problem is to identify a collection of inputs whose outputs are both desirable for the decision maker,…

最优化与控制 · 数学 2025-05-27 Ben Tu , Nikolas Kantas , Robert M. Lee , Behrang Shafei

Pareto Front Learning (PFL) was recently introduced as an efficient method for approximating the entire Pareto front, the set of all optimal solutions to a Multi-Objective Optimization (MOO) problem. In the previous work, the mapping…

最优化与控制 · 数学 2023-08-15 Tran Anh Tuan , Long P. Hoang , Dung D. Le , Tran Ngoc Thang

Many real world applications can be framed as multi-objective optimization problems, where we wish to simultaneously optimize for multiple criteria. Bayesian optimization techniques for the multi-objective setting are pertinent when the…

机器学习 · 计算机科学 2019-06-24 Biswajit Paria , Kirthevasan Kandasamy , Barnabás Póczos

Scalarization allows to solve a multi-objective optimization problem by solving many single-objective sub-problems, uniquely determined by some parameters. In this work, we propose several adaptive strategies to select such parameters in…

最优化与控制 · 数学 2022-11-08 Giacomo Borghi

We study a general scalarization approach via utility functions in multi-objective optimization. It consists of maximizing utility which is obtained from the objectives' bargaining with regard to a disagreement reference point. The…

最优化与控制 · 数学 2024-01-26 Lorenzo Lampariello , Simone Sagratella , Valerio Giuseppe Sasso , Vladimir Shikhman

Many problems in robotics seek to simultaneously optimize several competing objectives under constraints. A conventional approach to solving such multi-objective optimization problems is to create a single cost function comprised of the…

机器人学 · 计算机科学 2022-06-02 Alexander Botros , Armin Sadeghi , Nils Wilde , Javier Alonso-Mora , Stephen L. Smith

Classification, recommendation, and ranking problems often involve competing goals with additional constraints (e.g., to satisfy fairness or diversity criteria). Such optimization problems are quite challenging, often involving non-convex…

机器学习 · 计算机科学 2021-02-16 Gurpreet Singh , Soumyajit Gupta , Matthew Lease , Clint Dawson

Scalarisation functions are widely employed in MORL algorithms to enable intelligent decision-making. However, these functions often struggle to approximate the Pareto front accurately, rendering them unideal in complex, uncertain…

机器学习 · 计算机科学 2025-11-21 Muhammad Sa'ood Shah , Asad Jeewa

We study shortest-path routing in large weighted, undirected graphs, where expanding search frontiers raise time and memory costs for exact solvers. We propose \emph{SPHERE}, a query-aware partitioning heuristic that adaptively splits the…

分布式、并行与集群计算 · 计算机科学 2026-03-16 Robert Fabian Lindermann , Paul-Niklas Ken Kandora , Simon Caspar Zeller , Adrian Asmund Fessler , Steffen Rebennack

Multi-objective optimisation problems involve finding solutions with varying trade-offs between multiple and often conflicting objectives. Ising machines are physical devices that aim to find the absolute or approximate ground states of an…

In Multi-Task Learning (MTL), tasks may compete and limit the performance achieved on each other, rather than guiding the optimization to a solution, superior to all its single-task trained counterparts. Since there is often not a unique…

机器学习 · 计算机科学 2023-06-16 Nikolaos Dimitriadis , Pascal Frossard , François Fleuret

Algorithmic fairness seeks to identify and correct sources of bias in machine learning algorithms. Confoundingly, ensuring fairness often comes at the cost of accuracy. We provide formal tools in this work for reconciling this fundamental…

机器学习 · 计算机科学 2021-11-22 Susan Wei , Marc Niethammer

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,…

机器学习 · 统计学 2019-07-16 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

As algorithmic decision-making systems are becoming more pervasive, it is crucial to ensure such systems do not become mechanisms of unfair discrimination on the basis of gender, race, ethnicity, religion, etc. Moreover, due to the inherent…

机器学习 · 计算机科学 2021-04-06 Mohammad Mahdi Kamani , Rana Forsati , James Z. Wang , Mehrdad Mahdavi

Efficiently solving multi-objective optimization problems for simulation optimization of important scientific and engineering applications such as materials design is becoming an increasingly important research topic. This is due largely to…

人工智能 · 计算机科学 2023-06-27 Eric Hans Lee , Bolong Cheng , Michael McCourt

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,…

最优化与控制 · 数学 2026-04-06 Hans van Rooij , Christof Vermeersch , Marie Deferme , Bart De Moor

Sample- and computationally-efficient distribution estimation is a fundamental tenet in statistics and machine learning. We present SURF, an algorithm for approximating distributions by piecewise polynomials. SURF is: simple, replacing…

机器学习 · 统计学 2021-02-15 Yi Hao , Ayush Jain , Alon Orlitsky , Vaishakh Ravindrakumar
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