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Learning the evolutionary dynamics of Partial Differential Equations (PDEs) is critical in understanding dynamic systems, yet current methods insufficiently learn their representations. This is largely due to the multi-scale nature of the…

Machine Learning · Computer Science 2024-10-16 Aoming Liang , Zhaoyang Mu , Pengxiao Lin , Cong Wang , Mingming Ge , Ling Shao , Dixia Fan , Hao Tang

This paper addresses the problem of robust stabilization for linear hyperbolic Partial Differential Equations (PDEs) with Markov-jumping parameter uncertainty. We consider a 2 x 2 heterogeneous hyperbolic PDE and propose a control law using…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Yihuai Zhang , Jean Auriol , Huan Yu

We develop a learning-based algorithm for the distributed formation control of networked multi-agent systems governed by unknown, nonlinear dynamics. Most existing algorithms either assume certain parametric forms for the unknown dynamic…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Christos K. Verginis , Zhe Xu , Ufuk Topcu

The advent of agentic multimodal models has empowered systems to actively interact with external environments. However, current agents suffer from a profound meta-cognitive deficit: they struggle to arbitrate between leveraging internal…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Shilin Yan , Jintao Tong , Hongwei Xue , Xiaojun Tang , Yangyang Wang , Kunyu Shi , Guannan Zhang , Ruixuan Li , Yixiong Zou

We present a sequential distributed model predictive control (MPC) scheme for cooperative control of multi-agent systems with dynamically decoupled heterogeneous nonlinear agents subject to individual constraints. In the scheme, we explore…

Systems and Control · Electrical Eng. & Systems 2024-06-13 Matthias Köhler , Matthias A. Müller , Frank Allgöwer

Coupled partial differential equations (PDEs) are key tasks in modeling the complex dynamics of many physical processes. Recently, neural operators have shown the ability to solve PDEs by learning the integral kernel directly in…

Machine Learning · Computer Science 2025-01-27 Xiongye Xiao , Defu Cao , Ruochen Yang , Gaurav Gupta , Gengshuo Liu , Chenzhong Yin , Radu Balan , Paul Bogdan

In a multi-agent environment, In order to overcome and alleviate the non-stationarity of the multi-agent environment, the mainstream method is to adopt the framework of Centralized Training Decentralized Execution (CTDE). This thesis is…

Multiagent Systems · Computer Science 2023-05-30 Zeng Da

Policy-based algorithms are among the most widely adopted techniques in model-free RL, thanks to their strong theoretical groundings and good properties in continuous action spaces. Unfortunately, these methods require precise and…

Machine Learning · Computer Science 2023-06-14 Luca Sabbioni , Francesco Corda , Marcello Restelli

We propose a general framework for entropy-regularized average-reward reinforcement learning in Markov decision processes (MDPs). Our approach is based on extending the linear-programming formulation of policy optimization in MDPs to…

Machine Learning · Computer Science 2017-05-23 Gergely Neu , Anders Jonsson , Vicenç Gómez

Value iteration is a commonly used and empirically competitive method in solving many Markov decision process problems. However, it is known that value iteration has only pseudo-polynomial complexity in general. We establish a somewhat…

Artificial Intelligence · Computer Science 2013-01-07 Omid Madani

Cooperative multi-agent reinforcement learning is a decentralized paradigm in sequential decision making where agents distributed over a network iteratively collaborate with neighbors to maximize global (network-wide) notions of rewards.…

Machine Learning · Computer Science 2021-09-27 Carlo Alfano , Patrick Rebeschini

In this paper we design hybrid control policies for hybrid systems whose mathematical models are unknown. Our contributions are threefold. First, we propose a framework for modelling the hybrid control design problem as a single Markov…

Systems and Control · Electrical Eng. & Systems 2020-09-03 Meet Gandhi , Atreyee Kundu , Shalabh Bhatnagar

We consider a finite number of $N$ statistically equal agents, each moving on a finite set of states according to a continuous-time Markov Decision Process (MDP). Transition intensities of the agents and generated rewards depend not only on…

Probability · Mathematics 2025-09-23 Nicole Bäuerle , Sebastian Höfer

Action and observation delays exist prevalently in the real-world cyber-physical systems which may pose challenges in reinforcement learning design. It is particularly an arduous task when handling multi-agent systems where the delay of one…

Machine Learning · Computer Science 2020-09-01 Baiming Chen , Mengdi Xu , Zuxin Liu , Liang Li , Ding Zhao

Reinforcement learning (RL) typically defines a discount factor as part of the Markov Decision Process. The discount factor values future rewards by an exponential scheme that leads to theoretical convergence guarantees of the Bellman…

Machine Learning · Statistics 2019-03-01 William Fedus , Carles Gelada , Yoshua Bengio , Marc G. Bellemare , Hugo Larochelle

We study the synthesis of policies for multi-agent systems to implement spatial-temporal tasks. We formalize the problem as a factored Markov decision process subject to so-called graph temporal logic specifications. The transition function…

Multiagent Systems · Computer Science 2020-01-27 Murat Cubuktepe , Zhe Xu , Ufuk Topcu

Same-Day Delivery services are becoming increasingly popular in recent years. These have been usually modelled by previous studies as a certain class of Dynamic Vehicle Routing Problem (DVRP) where goods must be delivered from a depot to a…

Multiagent Systems · Computer Science 2022-03-23 Elvin Ngu , Leandro Parada , Jose Javier Escribano Macias , Panagiotis Angeloudis

Markov decision processes (MDPs) are standard models for probabilistic systems with non-deterministic behaviours. Mean payoff (or long-run average reward) provides a mathematically elegant formalism to express performance related…

Performance · Computer Science 2017-09-08 Jan Křetínský , Tobias Meggendorfer

Multi-agent reinforcement learning (MARL) becomes more challenging in the presence of more agents, as the capacity of the joint state and action spaces grows exponentially in the number of agents. To address such a challenge of scale, we…

Machine Learning · Computer Science 2021-05-19 Yan Li , Lingxiao Wang , Jiachen Yang , Ethan Wang , Zhaoran Wang , Tuo Zhao , Hongyuan Zha

This paper develops an efficient multi-agent deep reinforcement learning algorithm for cooperative controls in powergrids. Specifically, we consider the decentralized inverter-based secondary voltage control problem in distributed…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Dong Chen , Kaian Chen. Zhaojian Li , Tianshu Chu , Rui Yao , Feng Qiu , Kaixiang Lin