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Tasks in multi-task learning often correlate, conflict, or even compete with each other. As a result, a single solution that is optimal for all tasks rarely exists. Recent papers introduced the concept of Pareto optimality to this field and…

机器学习 · 计算机科学 2020-08-28 Pingchuan Ma , Tao Du , Wojciech Matusik

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.…

神经与进化计算 · 计算机科学 2024-07-15 Noor A. Rashed , Yossra H. Ali , Tarik A. Rashid , A. Salih

Multi-Objective Markov Decision Processes (MO-MDPs) are receiving increasing attention, as real-world decision-making problems often involve conflicting objectives that cannot be addressed by a single-objective MDP. The Pareto front…

机器学习 · 计算机科学 2025-02-11 Yining Li , Peizhong Ju , Ness B. Shroff

Fairness is a major concern in contemporary decision problems. In these situations, the objective is to maximize fairness while preserving the efficacy of the underlying decision-making problem. This paper examines repeated decisions on…

最优化与控制 · 数学 2022-12-21 Andrea Lodi , Sriram Sankaranarayanan , Guanyi Wang

The facility location problems (FLPs) are a typical class of NP-hard combinatorial optimization problems, which are widely seen in the supply chain and logistics. Many mathematical and heuristic algorithms have been developed for optimizing…

机器学习 · 计算机科学 2022-10-28 Shiqing Liu , Xueming Yan , Yaochu Jin

We present a multi-objective Bayesian optimisation algorithm that allows the user to express preference-order constraints on the objectives of the type "objective A is more important than objective B". These preferences are defined based on…

机器学习 · 计算机科学 2019-11-14 Majid Abdolshah , Alistair Shilton , Santu Rana , Sunil Gupta , Svetha Venkatesh

When a robot autonomously performs a complex task, it frequently must balance competing objectives while maintaining safety. This becomes more difficult in uncertain environments with stochastic outcomes. Enhancing transparency in the…

机器人学 · 计算机科学 2024-06-19 Peter Amorese , Shohei Wakayama , Nisar Ahmed , Morteza Lahijanian

In this work, we consider multiobjective optimization problems with both bound constraints on the variables and general nonlinear constraints, where objective and constraint function values can only be obtained by querying a black box.…

最优化与控制 · 数学 2022-04-15 Giampaolo Liuzzi , Stefano Lucidi

In this paper, we consider black-box multiobjective optimization problems in which all objective functions are not given analytically. In multiobjective optimization, it is important to produce a set of uniformly distributed discrete…

最优化与控制 · 数学 2022-02-11 Kwang-Hui Ju , Ju-Song Kim

Reliability assessment of engineering systems often requires repeated evaluations of limit-state functions that may rely on computationally expensive high-fidelity models, rendering direct sampling-based reliability analysis impractical. An…

计算工程、金融与科学 · 计算机科学 2026-05-13 Jonathan A. Moran , Pablo G. Morato

We consider the problem of black-box multi-objective optimization (MOO) using expensive function evaluations (also referred to as experiments), where the goal is to approximate the true Pareto set of solutions by minimizing the total…

机器学习 · 计算机科学 2021-11-05 Syrine Belakaria , Aryan Deshwal , Janardhan Rao Doppa

The design of mobile autonomous robots is challenging due to the limited on-board resources such as processing power and energy. A promising approach is to generate intelligent schedules that reduce the resource consumption while…

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

We present MOSS, a multi-objective optimization framework for constructing stable sets of decision rules. MOSS incorporates three important criteria for interpretability: sparsity, accuracy, and stability, into a single multi-objective…

最优化与控制 · 数学 2025-07-31 Brian Liu , Rahul Mazumder

In LLM alignment and many other ML applications, one often faces the Multi-Objective Fine-Tuning (MOFT) problem, i.e., fine-tuning an existing model with datasets labeled w.r.t. different objectives simultaneously. To address the challenge,…

机器学习 · 计算机科学 2025-06-23 Yinuo Ren , Tesi Xiao , Michael Shavlovsky , Lexing Ying , Holakou Rahmanian

Balancing safety, efficiency, and operational costs in highway driving poses a challenging decision-making problem for heavy-duty vehicles. A central difficulty is that conventional scalar reward formulations, obtained by aggregating these…

机器学习 · 计算机科学 2026-01-27 Deepthi Pathare , Leo Laine , Morteza Haghir Chehreghani

We propose to control handoffs (HOs) in user-centric cell-free massive MIMO networks through a partially observable Markov decision process (POMDP) with the state space representing the discrete versions of the large-scale fading (LSF) and…

In this study, we consider the subset selection problems with submodular or monotone discrete objective functions under partition matroid constraints where the thresholds are dynamic. We focus on POMC, a simple Pareto optimization approach…

神经与进化计算 · 计算机科学 2020-12-17 Anh Viet Do , Frank Neumann

A traditional and intuitively appealing Multi-Task Multiple Kernel Learning (MT-MKL) method is to optimize the sum (thus, the average) of objective functions with (partially) shared kernel function, which allows information sharing amongst…

机器学习 · 计算机科学 2014-04-14 Cong Li , Michael Georgiopoulos , Georgios C. Anagnostopoulos

Multi-objective optimization problems can be found in many real-world applications, where the objectives often conflict each other and cannot be optimized by a single solution. In the past few decades, numerous methods have been proposed to…

机器学习 · 计算机科学 2024-07-24 Xi Lin , Xiaoyuan Zhang , Zhiyuan Yang , Fei Liu , Zhenkun Wang , Qingfu Zhang