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Bayesian reinforcement learning (BRL) is a method that merges principles from Bayesian statistics and reinforcement learning to make optimal decisions in uncertain environments. As a model-based RL method, it has two key components: (1)…

Machine Learning · Statistics 2025-06-03 Shreya Sinha Roy , Richard G. Everitt , Christian P. Robert , Ritabrata Dutta

Physics-informed machine learning is gaining significant traction for enhancing statistical performance and sample efficiency through the integration of physical knowledge. However, current theoretical analyses often presume complete prior…

Machine Learning · Computer Science 2025-09-17 Takeshi Koshizuka , Issei Sato

We study constrained reinforcement learning (CRL) from a novel perspective by setting constraints directly on state density functions, rather than the value functions considered by previous works. State density has a clear physical and…

Machine Learning · Computer Science 2021-06-25 Zengyi Qin , Yuxiao Chen , Chuchu Fan

Safe reinforcement learning (RL) is a popular and versatile paradigm to learn reward-maximizing policies with safety guarantees. Previous works tend to express the safety constraints in an expectation form due to the ease of implementation,…

Machine Learning · Computer Science 2024-12-18 Chenglin Li , Guangchun Ruan , Hua Geng

We propose a physics-based regularization technique for function learning, inspired by statistical mechanics. By drawing an analogy between optimizing the parameters of an interpolator and minimizing the energy of a system, we introduce…

Machine Learning · Computer Science 2025-08-20 Abhisek Ganguly , Alessandro Gabbana , Vybhav Rao , Sauro Succi , Santosh Ansumali

Reinforcement Learning (RL) algorithms suffer from the dependency on accurately engineered reward functions to properly guide the learning agents to do the required tasks. Preference-based reinforcement learning (PbRL) addresses that by…

Artificial Intelligence · Computer Science 2024-08-23 Youssef Abdelkareem , Shady Shehata , Fakhri Karray

Goal-conditioned reinforcement learning endows an agent with a large variety of skills, but it often struggles to solve tasks that require more temporally extended reasoning. In this work, we propose to incorporate imagined subgoals into…

Machine Learning · Computer Science 2021-07-02 Elliot Chane-Sane , Cordelia Schmid , Ivan Laptev

Learning dynamic whole-body motions for legged robots through reinforcement learning (RL) remains challenging due to the high risk of failure, which makes efficient exploration difficult and often leads to unstable learning. In this paper,…

Robotics · Computer Science 2026-05-12 Keita Yoneda , Kento Kawaharazuka , Kei Okada

We propose \emph{Choquet regularizers} to measure and manage the level of exploration for reinforcement learning (RL), and reformulate the continuous-time entropy-regularized RL problem of Wang et al. (2020, JMLR, 21(198)) in which we…

Machine Learning · Statistics 2022-08-19 Xia Han , Ruodu Wang , Xun Yu Zhou

This paper addresses continuous-time reinforcement learning (CTRL) where the system dynamics are governed by an unknown stochastic differential equation, and only discrete-time observations are available. Existing approaches face…

Optimization and Control · Mathematics 2025-10-14 Yuhua Zhu , Yuming Zhang , Haoyu Zhang

Post-training has split large language model (LLM) alignment into two largely disconnected tracks. Online reinforcement learning (RL) with verifiable rewards drives emergent reasoning on math and code but depends on a programmatic verifier…

Passivity-based control (PBC) for port-Hamiltonian systems provides an intuitive way of achieving stabilization by rendering a system passive with respect to a desired storage function. However, in most instances the control law is obtained…

Systems and Control · Computer Science 2019-03-29 Olivier Sprangers , Gabriel A. D. Lopes , Robert Babuska

Learned representations in deep reinforcement learning (DRL) have to extract task-relevant information from complex observations, balancing between robustness to distraction and informativeness to the policy. Such stable and rich…

Machine Learning · Computer Science 2021-10-28 Mete Kemertas , Tristan Aumentado-Armstrong

The goal of reinforcement learning (RL) is to find a policy that maximizes the expected cumulative return. It has been shown that this objective can be represented as an optimization problem of state-action visitation distribution under…

Machine Learning · Computer Science 2024-01-29 Harshit Sikchi , Qinqing Zheng , Amy Zhang , Scott Niekum

Offline reinforcement learning requires reconciling two conflicting aims: learning a policy that improves over the behavior policy that collected the dataset, while at the same time minimizing the deviation from the behavior policy so as to…

Machine Learning · Computer Science 2021-10-13 Ilya Kostrikov , Ashvin Nair , Sergey Levine

We introduce a novel extension to robust control theory that explicitly addresses uncertainty in the value function's gradient, a form of uncertainty endemic to applications like reinforcement learning where value functions are…

Machine Learning · Computer Science 2025-07-22 Qian Qi

We demonstrate that embedding physics-driven constraints into machine learning process can dramatically improve accuracy and generalizability of the resulting model. Physics-informed learning is illustrated on the example of analysis of…

Computational Physics · Physics 2021-12-16 Abantika Ghosh , Mohannad Elhamod , Jie Bu , Wei-Cheng Lee , Anuj Karpatne , Viktor A Podolskiy

Reinforcement learning (RL) is a control approach that can handle nonlinear stochastic optimal control problems. However, despite the promise exhibited, RL has yet to see marked translation to industrial practice primarily due to its…

Machine Learning · Computer Science 2021-04-15 Elton Pan , Panagiotis Petsagkourakis , Max Mowbray , Dongda Zhang , Antonio del Rio-Chanona

A deep learning approach for the approximation of the Hamilton-Jacobi-Bellman partial differential equation (HJB PDE) associated to the Nonlinear Quadratic Regulator (NLQR) problem. A state-dependent Riccati equation control law is first…

Optimization and Control · Mathematics 2022-07-20 Anastasia Borovykh , Dante Kalise , Alexis Laignelet , Panos Parpas

We consider an infinite horizon discounted optimal control problem for piecewise deterministic Markov processes, where a piecewise open-loop control acts continuously on the jump dynamics and on the deterministic flow. For this class of…

Optimization and Control · Mathematics 2015-12-08 Elena Bandini