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In this paper, we consider a mean field game model inspired by crowd motion in which several interacting populations evolving in $\mathbb R^d$ aim at reaching given target sets in minimal time. The movement of each agent is described by a…

Optimization and Control · Mathematics 2022-08-16 Saeed Sadeghi Arjmand , Guilherme Mazanti

We propose integrating the edge-computing paradigm into the multi-robot collaborative scheduling to maximize resource utilization for complex collaborative tasks, which many robots must perform together. Examples include collaborative…

Robotics · Computer Science 2023-11-20 Nazish Tahir , Ramviyas Parasuraman

This paper presents a distributed optimization scheme over a network of agents in the presence of cost uncertainties and over switching communication topologies. Inspired by recent advances in distributed convex optimization, we propose a…

Optimization and Control · Mathematics 2016-11-15 Saghar Hosseini , Airlie Chapman , Mehran Mesbahi

To date, the multi-objective optimization literature has mainly focused on conflicting objectives, studying the Pareto front, or requiring users to balance tradeoffs. Yet, in machine learning practice, there are many scenarios where such…

Machine Learning · Computer Science 2025-03-05 Yonathan Efroni , Ben Kretzu , Daniel Jiang , Jalaj Bhandari , Zheqing , Zhu , Karen Ullrich

This paper studies distributed algorithms for the extended monotropic optimization problem, which is a general convex optimization problem with a certain separable structure. The considered objective function is the sum of local convex…

Optimization and Control · Mathematics 2016-08-04 Xianlin Zeng , Peng Yi , Yiguang Hong , Lihua Xie

In decision support systems, it is essential to get a candidate solution fast, even if it means resorting to an approximation. This constraint introduces a scalability requirement with regard to the kind of heuristics which can be used in…

Multiagent Systems · Computer Science 2014-05-22 D. Krzywicki , Ł. Faber , A. Byrski , M. Kisiel-Dorohinicki

Mean field theory provides an effective way of scaling multiagent reinforcement learning algorithms to environments with many agents that can be abstracted by a virtual mean agent. In this paper, we extend mean field multiagent algorithms…

Multiagent Systems · Computer Science 2022-06-22 Sriram Ganapathi Subramanian , Pascal Poupart , Matthew E. Taylor , Nidhi Hegde

We introduce a mean field game with rank-based reward: competing agents optimize their effort to achieve a goal, are ranked according to their completion time, and paid a reward based on their relative rank. First, we propose a tractable…

Optimization and Control · Mathematics 2017-08-07 Marcel Nutz , Yuchong Zhang

Multi-objective optimization aims at finding trade-off solutions to conflicting objectives. These constitute the Pareto optimal set. In the context of expensive-to-evaluate functions, it is impossible and often non-informative to look for…

Machine Learning · Statistics 2020-02-20 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

Collusion in market pricing is a concept associated with human actions to raise market prices through artificially limited supply. Recently, the idea of algorithmic collusion was put forward, where the human action in the pricing process is…

Theoretical Economics · Economics 2025-01-29 Suzie Grondin , Arthur Charpentier , Philipp Ratz

In this paper we are concerned with the global minimization of a possibly non-smooth and non-convex objective function constrained on the unit hypersphere by means of a multi-agent derivative-free method. The proposed algorithm falls into…

Optimization and Control · Mathematics 2021-04-02 Massimo Fornasier , Hui Huang , Lorenzo Pareschi , Philippe Sünnen

We analyze an algorithm to numerically solve the mean-field optimal control problems by approximating the optimal feedback controls using neural networks with problem specific architectures. We approximate the model by an $N$-particle…

Optimization and Control · Mathematics 2025-03-25 H. Mete Soner , Josef Teichmann , Qinxin Yan

This paper fully studies distributed optimal consensus problem in non-directed dynamical networks. We consider a group of networked agents that are supposed to rendezvous at the optimal point of a collective convex objective function. Each…

Optimization and Control · Mathematics 2017-12-22 Amir Adibzadeh , Amir A. Suratgar , Mohammad B. Menhaja , Mohsen Zamani

Generating competitive strategies and performing continuous motion planning simultaneously in an adversarial setting is a challenging problem. In addition, understanding the intent of other agents is crucial to deploying autonomous systems…

Robotics · Computer Science 2023-10-12 Hongrui Zheng , Zhijun Zhuang , Johannes Betz , Rahul Mangharam

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

Scaling laws for inference compute in multi-agent systems remain under-explored compared to single-agent scenarios. This work aims to bridge this gap by investigating the problem of data synthesis through multi-agent sampling, where…

Computation and Language · Computer Science 2025-05-20 Hai Ye , Mingbao Lin , Hwee Tou Ng , Shuicheng Yan

In this work, a new multiobjective optimization algorithm called multiobjective learner performance-based behavior algorithm is proposed. The proposed algorithm is based on the process of transferring students from high school to college.…

Neural and Evolutionary Computing · Computer Science 2022-01-31 Chnoor M. Rahman , Tarik A. Rashid , Aram Mahmood Ahmed , Seyedali Mirjalili

We study distributed composite optimization over networks: agents minimize the sum of a smooth (strongly) convex function, the agents' sum-utility, plus a non-smooth (extended-valued) convex one. We propose a general algorithmic framework…

Optimization and Control · Mathematics 2019-10-23 Jinming Xu , Ying Sun , Ye Tian , Gesualdo Scutari

In recent years, reinforcement learning and its multi-agent analogue have achieved great success in solving various complex control problems. However, multi-agent reinforcement learning remains challenging both in its theoretical analysis…

Robotics · Computer Science 2023-02-10 Kai Cui , Mengguang Li , Christian Fabian , Heinz Koeppl

This paper studies the distributed mode consensus problem in a multi-agent system, in which the agents each possess a certain attribute and they aim to agree upon the mode (the most frequent attribute owned by the agents) via distributed…

Systems and Control · Electrical Eng. & Systems 2024-03-04 Chao Huang , Hyungbo Shim , Siliang Yu , Brian D. O. Anderson