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Recently, a theory for stochastic optimal control in non-linear dynamical systems in continuous space-time has been developed (Kappen, 2005). We apply this theory to collaborative multi-agent systems. The agents evolve according to a given…

Multiagent Systems · Computer Science 2012-07-02 Wim Wiegerinck , Bart van den Broek , Hilbert Kappen

We study the problem of estimating a sequence of evolving probability distributions from historical data, where the underlying distribution changes over time in a nonstationary and nonparametric manner. To capture gradual changes, we…

Optimization and Control · Mathematics 2025-12-16 Edward J. Anderson , Dominic S. T. Keehan

We propose a Gaussian variational inference framework for the motion planning problem. In this framework, motion planning is formulated as an optimization over the distribution of the trajectories to approximate the desired trajectory…

Robotics · Computer Science 2023-03-27 Hongzhe Yu , Yongxin Chen

We analyze the dynamics of multi-agent collective behavior models and their control theoretical properties. We first derive a large population limit to parabolic diffusive equations. We also show that the non-local transport equations…

Analysis of PDEs · Mathematics 2019-02-12 Umberto Biccari , Dongnam Ko , Enrique Zuazua

This paper proposes a fully data-driven motion-planning framework for homogeneous linear multi-agent systems that operate in shared, obstacle-filled workspaces without access to explicit system models. Each agent independently learns its…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Babak Esmaeili , Hamidreza Modares

This paper proposes a data-driven distributionally robust shortest path (DRSP) model where the distribution of the travel time in the transportation network can only be partially observed through a finite number of samples. Specifically, we…

Optimization and Control · Mathematics 2019-11-19 Zhuolin Wang , Keyou You , Shiji Song , Yuli Zhang

This work presents MAC-Flow, a simple yet expressive framework for multi-agent coordination. We argue that requirements of effective coordination are twofold: (i) a rich representation of the diverse joint behaviors present in offline data…

Machine Learning · Computer Science 2026-02-02 Dongsu Lee , Daehee Lee , Amy Zhang

We propose a variational finite volume scheme to approximate the solutions to Wasserstein gradient flows. The time discretization is based on an implicit linearization of the Wasserstein distance expressed thanks to Benamou-Brenier formula,…

Numerical Analysis · Mathematics 2019-07-22 Clément Cancès , Thomas O. Gallouët , Gabriele Todeschi

In this paper, a novel hybrid multi-robot motion planner that can be applied under non-communication and local observable conditions is presented. The planner is model-free and can realize the end-to-end mapping of multi-robot state and…

Robotics · Computer Science 2021-12-14 Zichen He , Lu Dong , Chunwei Song , Changyin Sun

We study the TAPF (combined target-assignment and path-finding) problem for teams of agents in known terrain, which generalizes both the anonymous and non-anonymous multi-agent path-finding problems. Each of the teams is given the same…

Artificial Intelligence · Computer Science 2016-12-20 Hang Ma , Sven Koenig

Multi-agent path finding (MAPF) is the problem of planning conflict-free paths from the designated start locations to goal positions for multiple agents. It underlies a variety of real-world tasks, including multi-robot coordination,…

Artificial Intelligence · Computer Science 2025-09-09 Zhanjiang Yang , Yang Shen , Yueming Li , Meng Li , Lijun Sun

Autonomous vehicles that operate in urban environments shall comply with existing rules and reason about the interactions with other decision-making agents. In this paper, we introduce a decentralized and communication-free…

Robotics · Computer Science 2023-07-06 Lucas Streichenberg , Elia Trevisan , Jen Jen Chung , Roland Siegwart , Javier Alonso-Mora

This paper presents a new trajectory planning method for multiple quadrotors in obstacle-dense environments. We suggest a relative safe flight corridor (RSFC) to model safe region between a pair of agents, and it is used to generate linear…

Systems and Control · Electrical Eng. & Systems 2019-09-09 Jungwon Park , H. Jin Kim

We consider optimal swarm control problems where two different classes of agents are present. Continuum idealizations of large-scale swarms are used where the dynamics describe the evolution of the spatially-distributed densities of each…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Max Emerick , Stacy Patterson , Bassam Bamieh

Multi-Agent Pathfinding (MAPF) is the problem of finding paths for multiple agents such that every agent reaches its goal and the agents do not collide. Most prior work on MAPF was on grids, assumed agents' actions have uniform duration,…

Artificial Intelligence · Computer Science 2019-06-17 Anton Andreychuk , Konstantin Yakovlev , Dor Atzmon , Roni Stern

We propose a distributed planning method with asynchronous execution for multi-agent pickup and delivery (MAPD) problems for environments with occasional delays in agents' activities and flexible endpoints. MAPD is a crucial problem…

Multiagent Systems · Computer Science 2023-02-21 Yuki Miyashita , Tomoki Yamauchi , Toshiharu Sugawara

We develop a fast and scalable numerical approach to solve Wasserstein gradient flows (WGFs), particularly suitable for high-dimensional cases. Our approach is to use general reduced-order models, like deep neural networks, to parameterize…

Numerical Analysis · Mathematics 2024-05-24 Yijie Jin , Shu Liu , Hao Wu , Xiaojing Ye , Haomin Zhou

Effective understanding of the environment and accurate trajectory prediction of surrounding dynamic obstacles are indispensable for intelligent mobile systems (like autonomous vehicles and social robots) to achieve safe and high-quality…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Jiachen Li , Hengbo Ma , Zhihao Zhang , Masayoshi Tomizuka

The Multi-Traveling Salesman Problem (MTSP) is a commonly used mathematical model for multi-agent task allocation. However, as the number of agents and task targets increases, existing optimization-based methods often incur prohibitive…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Xiubin Chen

This paper explores the application of Hamilton's rule to altruistic decision-making in multi-agent systems. Inspired by biological altruism, we introduce a framework that evaluates when individual agents should incur costs to benefit their…

Multiagent Systems · Computer Science 2025-05-16 Brooks A. Butler , Magnus Egerstedt