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When function approximation is used, solving the Bellman optimality equation with stability guarantees has remained a major open problem in reinforcement learning for decades. The fundamental difficulty is that the Bellman operator may…

Machine Learning · Computer Science 2018-06-07 Bo Dai , Albert Shaw , Lihong Li , Lin Xiao , Niao He , Zhen Liu , Jianshu Chen , Le Song

The Inverse Reinforcement Learning (\textit{IRL}) problem has seen rapid evolution in the past few years, with important applications in domains like robotics, cognition, and health. In this work, we explore the inefficacy of current IRL…

Machine Learning · Computer Science 2022-09-28 Raeid Saqur

We propose a physics-informed neural network policy iteration (PINN-PI) framework for solving stochastic optimal control problems governed by second-order Hamilton--Jacobi--Bellman (HJB) equations. At each iteration, a neural network is…

Machine Learning · Computer Science 2025-08-05 Yeongjong Kim , Yeoneung Kim , Minseok Kim , Namkyeong Cho

Reinforcement Learning (RL) applications in real-world scenarios must prioritize safety and reliability, which impose strict constraints on agent behavior. Model-based RL leverages predictive world models for action planning and policy…

Artificial Intelligence · Computer Science 2025-06-06 Artem Latyshev , Gregory Gorbov , Aleksandr I. Panov

We study the inverse reinforcement learning (IRL) problem under a transition dynamics mismatch between the expert and the learner. Specifically, we consider the Maximum Causal Entropy (MCE) IRL learner model and provide a tight upper bound…

Machine Learning · Computer Science 2021-12-01 Luca Viano , Yu-Ting Huang , Parameswaran Kamalaruban , Adrian Weller , Volkan Cevher

One of the main challenges in imitation learning is determining what action an agent should take when outside the state distribution of the demonstrations. Inverse reinforcement learning (IRL) can enable generalization to new states by…

Machine Learning · Computer Science 2024-03-04 Daniel S. Brown , Scott Niekum , Marek Petrik

This paper presents a technique for approximating, up to any precision, the set of subgame-perfect equilibria (SPE) in discounted repeated games. The process starts with a single hypercube approximation of the set of SPE. Then the initial…

Computer Science and Game Theory · Computer Science 2010-02-10 Andriy Burkov , Brahim Chaib-draa

Existing reinforcement learning (RL) methods struggle with complex dynamical systems that demand interactions at high frequencies or irregular time intervals. Continuous-time RL (CTRL) has emerged as a promising alternative by replacing…

Machine Learning · Computer Science 2026-02-20 Xuefeng Wang , Lei Zhang , Henglin Pu , Ahmed H. Qureshi , Husheng Li

This paper proposes an off-policy risk-sensitive reinforcement learning based control framework for stabilization of a continuous-time nonlinear system that subjects to additive disturbances, input saturation, and state constraints. By…

Systems and Control · Electrical Eng. & Systems 2022-04-21 Cong Li , Qingchen Liu , Zhehua Zhou , Martin Buss , Fangzhou Liu

We study the problem of inverse reinforcement learning (IRL), where the learning agent recovers a reward function using expert demonstrations. Most of the existing IRL techniques make the often unrealistic assumption that the agent has…

Machine Learning · Computer Science 2021-12-20 Franck Djeumou , Murat Cubuktepe , Craig Lennon , Ufuk Topcu

Reinforcement Learning (RL) has achieved significant success in application domains such as robotics, games and health care. However, training RL agents is very time consuming. Current implementations exhibit poor performance due to…

Machine Learning · Computer Science 2021-12-24 Chi Zhang , Sanmukh Rao Kuppannagari , Viktor K Prasanna

In light of the burgeoning success of reinforcement learning (RL) in diverse real-world applications, considerable focus has been directed towards ensuring RL policies are robust to adversarial attacks during test time. Current approaches…

Machine Learning · Computer Science 2024-02-21 Xiangyu Liu , Chenghao Deng , Yanchao Sun , Yongyuan Liang , Furong Huang

While current software agents powered by large language models (LLMs) and agentic reinforcement learning (RL) can boost programmer productivity, their training data (e.g., GitHub issues and pull requests) and environments (e.g.,…

Software Engineering · Computer Science 2026-05-20 Yuxiang Wei , Zhiqing Sun , Emily McMilin , Jonas Gehring , David Zhang , Gabriel Synnaeve , Daniel Fried , Lingming Zhang , Sida Wang

This paper proposes an inverse reinforcement learning (IRL) framework to accelerate learning when the learner-teacher \textit{interaction} is \textit{limited} during training. Our setting is motivated by the realistic scenarios where a…

Machine Learning · Computer Science 2020-07-02 Martin Troussard , Emmanuel Pignat , Parameswaran Kamalaruban , Sylvain Calinon , Volkan Cevher

Reinforcement learning (RL) is attracting increasing interests in autonomous driving due to its potential to solve complex classification and control problems. However, existing RL algorithms are rarely applied to real vehicles for two…

Machine Learning · Computer Science 2020-03-04 Lu Wen , Jingliang Duan , Shengbo Eben Li , Shaobing Xu , Huei Peng

We present an accelerated algorithm for the solution of static Hamilton-Jacobi-Bellman equations related to optimal control problems. Our scheme is based on a classic policy iteration procedure, which is known to have superlinear…

Optimization and Control · Mathematics 2016-02-22 Alessandro Alla , Maurizio Falcone , Dante Kalise

Equilibrium learning in adversarial games is an important topic widely examined in the fields of game theory and reinforcement learning (RL). Pursuit-evasion game (PEG), as an important class of real-world games from the fields of robotics…

Machine Learning · Computer Science 2025-12-15 Runyu Lu , Peng Zhang , Ruochuan Shi , Yuanheng Zhu , Dongbin Zhao , Yang Liu , Dong Wang , Cesare Alippi

Intraday surgical scheduling is a multi-objective decision problem under uncertainty-balancing elective throughput, urgent and emergency demand, delays, sequence-dependent setups, and overtime. We formulate the problem as a cooperative…

Machine Learning · Computer Science 2025-12-05 Kailiang Liu , Ying Chen , Ralf Borndörfer , Thorsten Koch

Within batch reinforcement learning, safe policy improvement (SPI) seeks to ensure that the learnt policy performs at least as well as the behavior policy that generated the dataset. The core challenge in SPI is seeking improvements while…

Machine Learning · Computer Science 2024-10-15 Abhishek Sharma , Leo Benac , Sonali Parbhoo , Finale Doshi-Velez

Existing data-driven and feedback traffic control strategies do not consider the heterogeneity of real-time data measurements. Besides, traditional reinforcement learning (RL) methods for traffic control usually converge slowly for lacking…

Systems and Control · Electrical Eng. & Systems 2022-09-14 C. Chen , Y. P. Huang , W. H. K. Lam , T. L. Pan , S. C. Hsu , A. Sumalee , R. X. Zhong
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