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This paper presents the concept of an adaptive safe padding that forces Reinforcement Learning (RL) to synthesise optimal control policies while ensuring safety during the learning process. Policies are synthesised to satisfy a goal,…

机器学习 · 计算机科学 2020-03-24 Mohammadhosein Hasanbeig , Alessandro Abate , Daniel Kroening

Offline reinforcement learning aims to learn an agent from pre-collected datasets, avoiding unsafe and inefficient real-time interaction. However, inevitable access to out-ofdistribution actions during the learning process introduces…

人工智能 · 计算机科学 2026-03-06 Fan Zhang , Baoru Huang , Xin Zhang

In temporal difference (TD) learning, off-policy sampling is known to be more practical than on-policy sampling, and by decoupling learning from data collection, it enables data reuse. It is known that policy evaluation (including…

机器学习 · 计算机科学 2021-06-25 Zaiwei Chen , Siva Theja Maguluri , Sanjay Shakkottai , Karthikeyan Shanmugam

We prove performance guarantees of two algorithms for approximating $Q^\star$ in batch reinforcement learning. Compared to classical iterative methods such as Fitted Q-Iteration---whose performance loss incurs quadratic dependence on…

机器学习 · 计算机科学 2020-08-25 Tengyang Xie , Nan Jiang

This paper introduces new optimality-preserving operators on Q-functions. We first describe an operator for tabular representations, the consistent Bellman operator, which incorporates a notion of local policy consistency. We show that this…

人工智能 · 计算机科学 2015-12-16 Marc G. Bellemare , Georg Ostrovski , Arthur Guez , Philip S. Thomas , Rémi Munos

Reinforcement Learning (RL) has made significant strides in various domains, and policy gradient methods like Proximal Policy Optimization (PPO) have gained popularity due to their balance in performance, training stability, and…

机器学习 · 计算机科学 2025-05-21 Andrei Cozma , Landon Harris , Hairong Qi

In this paper, we introduce Hamilton-Jacobi-Bellman (HJB) equations for Q-functions in continuous time optimal control problems with Lipschitz continuous controls. The standard Q-function used in reinforcement learning is shown to be the…

最优化与控制 · 数学 2020-05-05 Jeongho Kim , Insoon Yang

A temporally abstract action, or an option, is specified by a policy and a termination condition: the policy guides option behavior, and the termination condition roughly determines its length. Generally, learning with longer options (like…

人工智能 · 计算机科学 2017-12-05 Anna Harutyunyan , Peter Vrancx , Pierre-Luc Bacon , Doina Precup , Ann Nowe

The current paper studies the problem of agnostic $Q$-learning with function approximation in deterministic systems where the optimal $Q$-function is approximable by a function in the class $\mathcal{F}$ with approximation error $\delta \ge…

机器学习 · 计算机科学 2020-02-18 Simon S. Du , Jason D. Lee , Gaurav Mahajan , Ruosong Wang

Reinforcement learning (RL) has seen significant research and application results but often requires large amounts of training data. This paper proposes two data-efficient off-policy RL methods that use parametrized Q-learning. In these…

系统与控制 · 电气工程与系统科学 2025-04-09 J. S. van Hulst , W. P. M. H. Heemels , D. J. Antunes

We study the off-policy evaluation (OPE) problem in reinforcement learning with linear function approximation, which aims to estimate the value function of a target policy based on the offline data collected by a behavior policy. We propose…

机器学习 · 计算机科学 2022-01-05 Yifei Min , Tianhao Wang , Dongruo Zhou , Quanquan Gu

One of the most natural approaches to reinforcement learning (RL) with function approximation is value iteration, which inductively generates approximations to the optimal value function by solving a sequence of regression problems. To…

机器学习 · 计算机科学 2024-06-19 Noah Golowich , Ankur Moitra

We consider the problem of quantifying uncertainty over expected cumulative rewards in model-based reinforcement learning. In particular, we focus on characterizing the variance over values induced by a distribution over Markov decision…

机器学习 · 计算机科学 2024-09-18 Carlos E. Luis , Alessandro G. Bottero , Julia Vinogradska , Felix Berkenkamp , Jan Peters

In this paper, we present a framework to understand the convergence of commonly used Q-learning reinforcement learning algorithms in practice. Two salient features of such algorithms are: (i)~the Q-table is recursively updated using an…

机器学习 · 计算机科学 2025-09-04 Amit Sinha , Matthieu Geist , Aditya Mahajan

We study reinforcement learning with linear function approximation and finite-memory approximations for partially observed Markov decision processes (POMDPs). We first present an algorithm for the value evaluation of finite-memory feedback…

最优化与控制 · 数学 2025-05-22 Ali Devran Kara

Reinforcement Learning (RL) has achieved tremendous success in recent years. However, the classical foundations of RL do not account for the risk sensitivity of the objective function, which is critical in various fields, including…

机器学习 · 计算机科学 2025-11-14 Mohammad Alipour-Vaezi , Huaiyang Zhong , Kwok-Leung Tsui , Sajad Khodadadian

Precision medicine aims to tailor therapeutic decisions to individual patient characteristics. This objective is commonly formalized through dynamic treatment regimes, which use statistical and machine learning methods to derive sequential…

机器学习 · 统计学 2026-03-23 Sophia Yazzourh , Erica E. M. Moodie

Off-policy reinforcement learning with eligibility traces is challenging because of the discrepancy between target policy and behavior policy. One common approach is to measure the difference between two policies in a probabilistic way,…

机器学习 · 计算机科学 2019-05-20 Longxiang Shi , Shijian Li , Longbing Cao , Long Yang , Gang Pan

Reliable long-horizon value prediction is difficult in offline reinforcement learning because fitted value methods combine bootstrapping, function approximation, and distribution shift, while standard guarantees often require Bellman…

机器学习 · 统计学 2026-05-11 Lars van der Laan , Nathan Kallus

Temporal-difference and Q-learning play a key role in deep reinforcement learning, where they are empowered by expressive nonlinear function approximators such as neural networks. At the core of their empirical successes is the learned…

机器学习 · 计算机科学 2024-04-02 Yufeng Zhang , Qi Cai , Zhuoran Yang , Yongxin Chen , Zhaoran Wang