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This paper provides a pedagogical introduction to classical sheaf theory and sheaf cohomology, followed by a research prospectus exploring potential applications to multi-agent artificial intelligence systems. The first section offers a…

Optimization and Control · Mathematics 2025-04-25 Eric Schmid

Interacting agent and particle systems are extensively used to model complex phenomena in science and engineering. We consider the problem of learning interaction kernels in these dynamical systems constrained to evolve on Riemannian…

Machine Learning · Computer Science 2021-03-08 Mauro Maggioni , Jason Miller , Hongda Qiu , Ming Zhong

In a complex system, the interactions between individual agents often lead to emergent collective behavior like spontaneous synchronization, swarming, and pattern formation. The topology of the network of interactions can have a dramatic…

Adaptation and Self-Organizing Systems · Physics 2022-07-25 Mark J Panaggio , Maria-Veronica Ciocanel , Lauren Lazarus , Chad M Topaz , Bin Xu

Reconstructing the parameters that encode the influence between model variables based on time-series measurements represents an outstanding question in the theory of complex network-coupled systems. Here, we propose a solution to this…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Melvyn Tyloo

We propose a framework for the joint inference of network topology, multi-type interaction kernels, and latent type assignments in heterogeneous interacting particle systems from multi-trajectory data. This learning task is a challenging…

Machine Learning · Statistics 2026-02-05 Quanjun Lang , Xiong Wang , Fei Lu , Mauro Maggioni

The interaction topology among the constituents of a complex network plays a crucial role in the network's evolutionary mechanisms and functional behaviors. However, some network topologies are usually unknown or uncertain. Meanwhile,…

Chaotic Dynamics · Physics 2016-06-22 Yingfei Wang , Xiaoqun Wu , Hui Feng , Jun-an Lu , Yuhua Xu

Dynamical systems across many disciplines are modeled as interacting particles or agents, with interaction rules that depend on a very small number of variables (e.g. pairwise distances, pairwise differences of phases, etc...), functions of…

Machine Learning · Computer Science 2022-08-05 Jinchao Feng , Mauro Maggioni , Patrick Martin , Ming Zhong

Revealing the interaction topology underlying strategic behavior is fundamental to prediction, intervention, and policy design in networked systems. Yet the interaction matrix is often unobservable, and passive observation of repeated…

Optimization and Control · Mathematics 2026-05-01 Xiaoyu Xin , Longxu Zhang , Jinlong Lei , Yiguang Hong

This work proposes a neural network architecture that learns policies for multiple agent classes in a heterogeneous multi-agent reinforcement setting. The proposed network uses directed labeled graph representations for states, encodes…

Artificial Intelligence · Computer Science 2020-10-22 Douglas De Rizzo Meneghetti , Reinaldo Augusto da Costa Bianchi

Coordinating multiple autonomous agents to reach a target region while avoiding collisions and maintaining communication connectivity is a core problem in multi-agent systems. In practice, agents have a limited communication range. Thus,…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Shiyu Cheng , Luyao Niu , Bhaskar Ramasubramanian , Andrew Clark , Radha Poovendran

Accurately identifying the underlying graph structures of multi-agent systems remains a difficult challenge. Our work introduces a novel machine learning-based solution that leverages the attention mechanism to predict future states of…

Multiagent Systems · Computer Science 2024-10-29 Akshay Kolli , Reza Azadeh , Kshitj Jerath

Due to the complex interactions between agents, learning multi-agent control policy often requires a prohibited amount of data. This paper aims to enable multi-agent systems to effectively utilize past memories to adapt to novel…

Robotics · Computer Science 2025-01-28 So Kuroki , Mai Nishimura , Tadashi Kozuno

While multi-agent interactions can be naturally modeled as a graph, the environment has traditionally been considered as a black box. We propose to create a shared agent-entity graph, where agents and environmental entities form vertices,…

Machine Learning · Computer Science 2019-06-05 Akshat Agarwal , Sumit Kumar , Katia Sycara

Most previous studies on multi-agent reinforcement learning focus on deriving decentralized and cooperative policies to maximize a common reward and rarely consider the transferability of trained policies to new tasks. This prevents such…

Machine Learning · Computer Science 2019-11-28 Heechang Ryu , Hayong Shin , Jinkyoo Park

The shift from monolithic LLMs to distributed multi-agent architectures demands new frameworks for verifying and securing autonomous coordination. Unlike traditional multi-agent systems focused on cooperative state alignment, modern LLM…

Multiagent Systems · Computer Science 2026-03-06 Muhammad Umar Javed

We consider a fully cooperative multi-agent system where agents cooperate to maximize a system's utility in a partial-observable environment. We propose that multi-agent systems must have the ability to (1) communicate and understand the…

Artificial Intelligence · Computer Science 2021-01-01 Jianyu Su , Stephen Adams , Peter A. Beling

In this paper we present a decentralized algorithm to estimate the eigenvalues of the Laplacian matrix that encodes the network topology of a multi-agent system. We consider network topologies modeled by undirected graphs. The basic idea is…

Systems and Control · Computer Science 2012-06-21 Mauro Franceschelli , Andrea Gasparri , Alessandro Giua , Carla Seatzu

Scientists often search for phenomena of interest while exploring new environments. Autonomous vehicles are deployed to explore such areas where human-operated vehicles would be costly or dangerous. Online control of autonomous vehicles for…

Multiagent Systems · Computer Science 2025-09-12 Jake Olkin , Viraj Parimi , Brian Williams

This article studies the problem of reconstructing the topology of a network of interacting agents via observations of the state-evolution of the agents. We focus on the large-scale network setting with the additional constraint of…

Multiagent Systems · Computer Science 2019-10-22 Augusto Santos , Vincenzo Matta , Ali H. Sayed

Accurate prediction of others' trajectories is essential for autonomous driving. Trajectory prediction is challenging because it requires reasoning about agents' past movements, social interactions among varying numbers and kinds of agents,…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Tianyang Zhao , Yifei Xu , Mathew Monfort , Wongun Choi , Chris Baker , Yibiao Zhao , Yizhou Wang , Ying Nian Wu