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We develop a general theoretical framework for optimal probability density control on standard measure spaces, aimed at addressing large-scale multi-agent control problems. In particular, we establish a maximum principle (MP) for control…

Optimization and Control · Mathematics 2026-03-10 Nathan Gaby , Xiaojing Ye

Dynamic contracts with multiple agents is a classical decentralized decision-making problem with asymmetric information. In this paper, we extend the single-agent dynamic incentive contract model in continuous-time to a multi-agent scheme…

Econometrics · Economics 2017-10-10 Qi Luo , Romesh Saigal

We consider infinite horizon dynamic programming problems, where the control at each stage consists of several distinct decisions, each one made by one of several agents. In an earlier work we introduced a policy iteration algorithm, where…

Optimization and Control · Mathematics 2020-05-05 Dimitri Bertsekas

We present an algorithm for a multi-agent path planning problem with pattern coordination based on dynamic programming and a Hamilton-Jacobi-Bellman equation. This falls broadly into the class of partial differential equation (PDE) based…

Optimization and Control · Mathematics 2025-03-28 Christian Parkinson , Adan Baca

We identify two issues with the family of algorithms based on the Adversarial Imitation Learning framework. The first problem is implicit bias present in the reward functions used in these algorithms. While these biases might work well for…

Machine Learning · Computer Science 2018-10-16 Ilya Kostrikov , Kumar Krishna Agrawal , Debidatta Dwibedi , Sergey Levine , Jonathan Tompson

Recent successes of Reinforcement Learning (RL) allow an agent to learn policies that surpass human experts but suffers from being time-hungry and data-hungry. By contrast, human learning is significantly faster because prior and general…

Artificial Intelligence · Computer Science 2019-09-23 Daoming Lyu , Fangkai Yang , Bo Liu , Steven Gustafson

Actor-critic (AC) methods are widely used in reinforcement learning (RL) and benefit from the flexibility of using any policy gradient method as the actor and value-based method as the critic. The critic is usually trained by minimizing the…

Machine Learning · Computer Science 2023-11-01 Sharan Vaswani , Amirreza Kazemi , Reza Babanezhad , Nicolas Le Roux

Cooperative problems under continuous control have always been the focus of multi-agent reinforcement learning. Existing algorithms suffer from the problem of uneven learning degree with the increase of the number of agents. In this paper,…

Multiagent Systems · Computer Science 2021-07-05 Kai Liu , Yuyang Zhao , Gang Wang , Bei Peng

Extracting relevant information from a stream of high-dimensional observations is a central challenge for deep reinforcement learning agents. Actor-critic algorithms add further complexity to this challenge, as it is often unclear whether…

This paper focuses on distributed learning-based control of decentralized multi-agent systems where the agents' dynamics are modeled by Gaussian Processes (GPs). Two fundamental problems are considered: the optimal design of experiment for…

Systems and Control · Electrical Eng. & Systems 2021-04-06 Viet-Anh Le , Truong X. Nghiem

In this paper, we present a new intrinsically motivated actor-critic algorithm for learning continuous motor skills directly from raw visual input. Our neural architecture is composed of a critic and an actor network. Both networks receive…

Machine Learning · Computer Science 2019-02-19 Muhammad Burhan Hafez , Cornelius Weber , Matthias Kerzel , Stefan Wermter

The ability to act in multiple environments and transfer previous knowledge to new situations can be considered a critical aspect of any intelligent agent. Towards this goal, we define a novel method of multitask and transfer learning that…

Machine Learning · Computer Science 2016-02-23 Emilio Parisotto , Jimmy Lei Ba , Ruslan Salakhutdinov

In this paper, we devise three actor-critic algorithms with decentralized training for multi-agent reinforcement learning in cooperative, adversarial, and mixed settings with continuous action spaces. To this goal, we adapt the MADDPG…

Machine Learning · Computer Science 2025-03-11 Diego Bolliger , Lorenz Zauter , Robert Ziegler

Deep reinforcement learning has been applied successfully to solve various real-world problems and the number of its applications in the multi-agent settings has been increasing. Multi-agent learning distinctly poses significant challenges…

Machine Learning · Computer Science 2021-02-24 Ngoc Duy Nguyen , Thanh Thi Nguyen , Doug Creighton , Saeid Nahavandi

We propose a new algorithm, Mean Actor-Critic (MAC), for discrete-action continuous-state reinforcement learning. MAC is a policy gradient algorithm that uses the agent's explicit representation of all action values to estimate the gradient…

We propose a fully distributed actor-critic algorithm approximated by deep neural networks, named \textit{Diff-DAC}, with application to single-task and to average multitask reinforcement learning (MRL). Each agent has access to data from…

High-precision control tasks present substantial challenges for reinforcement learning (RL) algorithms, frequently resulting in suboptimal performance attributed to network approximation inaccuracies and inadequate sample quality.These…

Machine Learning · Computer Science 2025-02-05 Donghe Chen , Yubin Peng , Tengjie Zheng , Han Wang , Chaoran Qu , Lin Cheng

[Zhang, ICML 2018] provided the first decentralized actor-critic algorithm for multi-agent reinforcement learning (MARL) that offers convergence guarantees. In that work, policies are stochastic and are defined on finite action spaces. We…

Machine Learning · Computer Science 2021-02-22 Antoine Grosnit , Desmond Cai , Laura Wynter

Deep learning has enabled traditional reinforcement learning methods to deal with high-dimensional problems. However, one of the disadvantages of deep reinforcement learning methods is the limited exploration capacity of learning agents. In…

Machine Learning · Computer Science 2019-07-30 Thanh Nguyen , Ngoc Duy Nguyen , Saeid Nahavandi

We propose a neural network approach for solving high-dimensional optimal control problems. In particular, we focus on multi-agent control problems with obstacle and collision avoidance. These problems immediately become high-dimensional,…

Optimization and Control · Mathematics 2022-05-05 Derek Onken , Levon Nurbekyan , Xingjian Li , Samy Wu Fung , Stanley Osher , Lars Ruthotto