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This work uses the entropy-regularised relaxed stochastic control perspective as a principled framework for designing reinforcement learning (RL) algorithms. Herein agent interacts with the environment by generating noisy controls…

Machine Learning · Computer Science 2023-09-18 Lukasz Szpruch , Tanut Treetanthiploet , Yufei Zhang

This paper develops a policy gradient method for entropy-regularized mean-field control in the discounted infinite-horizon setting. We consider randomized feedback policies and a coupled representative-particle/population system, in which…

Optimization and Control · Mathematics 2026-05-21 Erhan Bayraktar , Martin Hernandez , Qinxin Yan , Yuhua Zhu

We consider reinforcement learning (RL) methods for finding optimal policies in linear quadratic (LQ) mean field control (MFC) problems over an infinite horizon in continuous time, with common noise and entropy regularization. We study…

Optimization and Control · Mathematics 2024-08-06 Noufel Frikha , Huyên Pham , Xuanye Song

Regularized Markov Decision Processes serve as models of sequential decision making under uncertainty wherein the decision maker has limited information processing capacity and/or aversion to model ambiguity. With functional approximation,…

Artificial Intelligence · Computer Science 2025-02-11 Jiachen Xi , Alfredo Garcia , Petar Momcilovic

Motivated by the novel paradigm developed by Van Roy and coauthors for reinforcement learning in arbitrary non-Markovian environments, we propose a related formulation and explicitly pin down the error caused by non-Markovianity of…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Siddharth Chandak , Pratik Shah , Vivek S Borkar , Parth Dodhia

Growing advancements in reinforcement learning has led to advancements in control theory. Reinforcement learning has effectively solved the inverted pendulum problem and more recently the double inverted pendulum problem. In reinforcement…

Machine Learning · Computer Science 2021-05-26 Amartya Mukherjee

Popular Maximum Entropy Inverse Reinforcement Learning approaches require the computation of expected state visitation frequencies for the optimal policy under an estimate of the reward function. This usually requires intermediate value…

Machine Learning · Computer Science 2020-08-05 Gabriel Kalweit , Maria Huegle , Moritz Werling , Joschka Boedecker

State-action value functions (i.e., Q-values) are ubiquitous in reinforcement learning (RL), giving rise to popular algorithms such as SARSA and Q-learning. We propose a new notion of action value defined by a Gaussian smoothed version of…

Machine Learning · Computer Science 2018-07-26 Ofir Nachum , Mohammad Norouzi , George Tucker , Dale Schuurmans

In this paper, we place deep Q-learning into a control-oriented perspective and study its learning dynamics with well-established techniques from robust control. We formulate an uncertain linear time-invariant model by means of the neural…

Machine Learning · Computer Science 2022-11-08 Balazs Varga , Balazs Kulcsar , Morteza Haghir Chehreghani

Learning-based predictive control is a promising alternative to optimization-based MPC. However, efficiently learning the optimal control policy, the optimal value function, or the Q-function requires suitable function approximators. Often,…

Systems and Control · Electrical Eng. & Systems 2023-04-14 Dieter Teichrib , Moritz Schulze Darup

In this paper, we address the problem of distributed interference management of cognitive femtocells that share the same frequency range with macrocells (primary user) using distributed multi-agent Q-learning. We formulate and solve three…

Multiagent Systems · Computer Science 2013-03-13 Hussein Saad , Amr Mohamed , Tamer ElBatt

The development of machine learning algorithms has been gathering relevance to address the increasing modelling complexity of manufacturing decision-making problems. Reinforcement learning is a methodology with great potential due to the…

Machine Learning · Computer Science 2023-04-18 Miguel Neves , Miguel Vieira , Pedro Neto

While contemporary reinforcement learning research and applications have embraced policy gradient methods as the panacea of solving learning problems, value-based methods can still be useful in many domains as long as we can wrangle with…

Machine Learning · Computer Science 2024-07-16 Ashwin Ramaswamy , Ransalu Senanayake

We present Q-Cogni, an algorithmically integrated causal reinforcement learning framework that redesigns Q-Learning with an autonomous causal structure discovery method to improve the learning process with causal inference. Q-Cogni achieves…

Machine Learning · Computer Science 2023-02-28 Cris Cunha , Wei Liu , Tim French , Ajmal Mian

The paper considers a class of multi-agent Markov decision processes (MDPs), in which the network agents respond differently (as manifested by the instantaneous one-stage random costs) to a global controlled state and the control actions of…

Machine Learning · Statistics 2015-06-04 Soummya Kar , Jose' M. F. Moura , H. Vincent Poor

This paper is concerned with the linear quadratic optimal control of discrete-time time-varying system with terminal state constraint. The main contribution is to propose a Q-learning algorithm for the optimal controller when the…

Optimization and Control · Mathematics 2023-07-20 Juanjuan Xu , Jingmei Liu , Zhaorong Zhang , Wei Wang

This paper investigates the instability of Q-learning in continuous environments, a challenge frequently encountered by practitioners. Traditionally, this instability is attributed to bootstrapping and regression model errors. Using a…

Machine Learning · Computer Science 2025-02-24 Philipp Wissmann , Daniel Hein , Steffen Udluft , Thomas Runkler

We derive a family of risk-sensitive reinforcement learning methods for agents, who face sequential decision-making tasks in uncertain environments. By applying a utility function to the temporal difference (TD) error, nonlinear…

Machine Learning · Computer Science 2014-10-10 Yun Shen , Michael J. Tobia , Tobias Sommer , Klaus Obermayer

The exploration-exploitation dilemma has been a central challenge in reinforcement learning (RL) with complex model classes. In this paper, we propose a new algorithm, Monotonic Q-Learning with Upper Confidence Bound (MQL-UCB) for RL with…

Machine Learning · Computer Science 2025-10-06 Heyang Zhao , Jiafan He , Quanquan Gu

Q-learning, which seeks to learn the optimal Q-function of a Markov decision process (MDP) in a model-free fashion, lies at the heart of reinforcement learning. When it comes to the synchronous setting (such that independent samples for all…

Machine Learning · Statistics 2025-03-18 Gen Li , Changxiao Cai , Yuxin Chen , Yuting Wei , Yuejie Chi
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