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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…

Machine Learning · Computer Science 2020-08-28 Pingchuan Ma , Tao Du , Wojciech Matusik

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…

Machine Learning · Computer Science 2022-10-28 Shiqing Liu , Xueming Yan , Yaochu Jin

The optimal assignment of Large Language Models (LLMs) to specialized roles in multi-agent systems is a significant challenge, defined by a vast combinatorial search space, expensive black-box evaluations, and an inherent trade-off between…

Multiagent Systems · Computer Science 2025-11-18 Antonio Sabbatella

Coordinating the behaviour of self-interested agents in the presence of multiple Nash equilibria is a major research challenge for multi-agent systems. Pre-game communication between all the players can aid coordination in cases where the…

Computer Science and Game Theory · Computer Science 2025-02-18 Wei-Chen Lee , Alessandro Abate , Michael Wooldridge

Optimal Experiment Design for parameter estimation in water networks has been traditionally formulated to maximize either hydraulic model accuracy or spatial coverage. Because a unique sensor configuration that optimizes both objectives may…

Optimization and Control · Mathematics 2023-02-08 Filippo Pecci , Ivan Stoianov

Multi-objective optimization (MOO) problems are prevalent in machine learning. These problems have a set of optimal solutions, called the Pareto front, where each point on the front represents a different trade-off between possibly…

Machine Learning · Computer Science 2021-04-27 Aviv Navon , Aviv Shamsian , Gal Chechik , Ethan Fetaya

In this paper, a hybrid method for solving multi-objective problem has been provided. The proposed method is combining the {\epsilon}-Constraint and the Cuckoo algorithm. First the multi objective problem transfers into a single-objective…

Neural and Evolutionary Computing · Computer Science 2015-09-29 Mahdi parvizi , Elham Shadkam , Niloofar Jahani

In decision-making problems, the outcome of an intervention often depends on the causal relationships between system components and is highly costly to evaluate. In such settings, causal Bayesian optimization (CBO) can exploit the causal…

Machine Learning · Statistics 2025-02-21 Shriya Bhatija , Paul-David Zuercher , Jakob Thumm , Thomas Bohné

Allocation and planning with a collection of tasks and a group of agents is an important problem in multiagent systems. One commonly faced bottleneck is scalability, as in general the multiagent model increases exponentially in size with…

Multiagent Systems · Computer Science 2023-05-09 Thomas Robinson , Guoxin Su

This article introduces a generalized framework for Decentralized Learning formulated as a Multi-Objective Optimization problem, in which both distributed agents and a central coordinator contribute independent, potentially conflicting…

Optimization and Control · Mathematics 2025-07-21 Roberto Morales , Umberto Biccari

Pareto optimization via evolutionary multi-objective algorithms has been shown to efficiently solve constrained monotone submodular functions. Traditionally when solving multiple problems, the algorithm is run for each problem separately.…

Neural and Evolutionary Computing · Computer Science 2026-04-17 Liam Wigney , Frank Neumann

We present novel mathematical models for inventory management within a reverse logistics system. Technological advancements, sustainability initiatives, and evolving customer behaviours have significantly increased the demand for repaired…

Optimization and Control · Mathematics 2024-06-21 I. B. Wadhawan , M. M. Rizvi

Expensive multi-objective optimization problems can be found in many real-world applications, where their objective function evaluations involve expensive computations or physical experiments. It is desirable to obtain an approximate Pareto…

Neural and Evolutionary Computing · Computer Science 2022-10-18 Xi Lin , Zhiyuan Yang , Xiaoyuan Zhang , Qingfu Zhang

We consider a multi-location inventory system where inventory choices at each location are centrally coordinated. Lateral transshipments are allowed as recourse actions within the same echelon in the inventory system to reduce costs and…

Artificial Intelligence · Computer Science 2011-02-10 Nabil Belgasmi , Lamjed Ben Said , Khaled Ghédira

There are a lot of real-world black-box optimization problems that need to optimize multiple criteria simultaneously. However, in a multi-objective optimization (MOO) problem, identifying the whole Pareto front requires the prohibitive…

Machine Learning · Computer Science 2023-11-23 Ryota Ozaki , Kazuki Ishikawa , Youhei Kanzaki , Shinya Suzuki , Shion Takeno , Ichiro Takeuchi , Masayuki Karasuyama

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

Advances in inference methods have enabled language models to improve their predictions without additional training. These methods often prioritize raw performance over cost-effective compute usage. However, computational efficiency is key…

Artificial Intelligence · Computer Science 2026-05-05 Florian Valentin Wunderlich , Lars Benedikt Kaesberg , Jan Philip Wahle , Terry Ruas , Bela Gipp

Optimization under uncertainty is important in many applications, particularly to inform policy and decision making in areas such as public health. A key source of uncertainty arises from the incorporation of environmental variables as…

Methodology · Statistics 2024-10-25 Daria Semochkina , Alexander I. J. Forrester , David C Woods

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

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…

Artificial Intelligence · Computer Science 2023-06-27 Eric Hans Lee , Bolong Cheng , Michael McCourt