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In this paper, an off-policy reinforcement learning algorithm is designed to solve the continuous-time LQR problem using only input-state data measured from the system. Different from other algorithms in the literature, we propose the use…

Systems and Control · Electrical Eng. & Systems 2023-04-03 Victor G. Lopez , Matthias A. Müller

Off-policy evaluation (OPE) holds the promise of being able to leverage large, offline datasets for both evaluating and selecting complex policies for decision making. The ability to learn offline is particularly important in many…

We study the problem of off-policy evaluation in the multi-armed bandit model with bounded rewards, and develop minimax rate-optimal procedures under three settings. First, when the behavior policy is known, we show that the Switch…

Machine Learning · Statistics 2021-01-20 Cong Ma , Banghua Zhu , Jiantao Jiao , Martin J. Wainwright

We study the off-policy evaluation (OPE) problem in an infinite-horizon Markov decision process with continuous states and actions. We recast the $Q$-function estimation into a special form of the nonparametric instrumental variables (NPIV)…

Statistics Theory · Mathematics 2022-06-28 Xiaohong Chen , Zhengling Qi

Offline policy evaluation is a fundamental statistical problem in reinforcement learning that involves estimating the value function of some decision-making policy given data collected by a potentially different policy. In order to tackle…

Machine Learning · Computer Science 2022-12-20 Juan C. Perdomo , Akshay Krishnamurthy , Peter Bartlett , Sham Kakade

Policy evaluation algorithms are essential to reinforcement learning due to their ability to predict the performance of a policy. However, there are two long-standing issues lying in this prediction problem that need to be tackled:…

Machine Learning · Computer Science 2021-12-30 Daoming Lyu , Bo Liu , Matthieu Geist , Wen Dong , Saad Biaz , Qi Wang

Estimating the value function for a fixed policy is a fundamental problem in reinforcement learning. Policy evaluation algorithms---to estimate value functions---continue to be developed, to improve convergence rates, improve stability and…

Machine Learning · Statistics 2018-08-29 Touqir Sajed , Wesley Chung , Martha White

Off-policy evaluation of sequential decision policies from observational data is necessary in applications of batch reinforcement learning such as education and healthcare. In such settings, however, unobserved variables confound observed…

Machine Learning · Computer Science 2020-07-14 Nathan Kallus , Angela Zhou

Many sequential decision-making systems leverage data collected using prior policies to propose a new policy. For critical applications, it is important that high-confidence guarantees on the new policy's behavior are provided before…

Machine Learning · Computer Science 2021-01-26 Yash Chandak , Shiv Shankar , Philip S. Thomas

Evaluating a policy by deploying it in the real world can be risky and costly. Off-policy policy evaluation (OPE) algorithms use historical data collected from running a previous policy to evaluate a new policy, which provides a means for…

Artificial Intelligence · Computer Science 2017-12-07 Zhaohan Daniel Guo , Philip S. Thomas , Emma Brunskill

Constructing confidence intervals for the value of an (unknown) optimal treatment policy is a fundamental problem in causal inference. Insight into the optimal policy value can guide the development of reward-maximizing, individualized…

Econometrics · Economics 2026-04-01 Justin Whitehouse , Qizhao Chen , Morgane Austern , Vasilis Syrgkanis

Most of the policy evaluation algorithms are based on the theories of Bellman Expectation and Optimality Equation, which derive two popular approaches - Policy Iteration (PI) and Value Iteration (VI). However, multi-step bootstrapping is…

Machine Learning · Computer Science 2021-12-16 Yuhui Wang , Qingyuan Wu , Pengcheng He , Xiaoyang Tan

This paper investigates the problem of online prediction learning, where learning proceeds continuously as the agent interacts with an environment. The predictions made by the agent are contingent on a particular way of behaving,…

Machine Learning · Computer Science 2018-11-08 Sina Ghiassian , Andrew Patterson , Martha White , Richard S. Sutton , Adam White

The problem of estimating a linear functional based on observational data is canonical in both the causal inference and bandit literatures. We analyze a broad class of two-stage procedures that first estimate the treatment effect function,…

Statistics Theory · Mathematics 2022-09-28 Wenlong Mou , Martin J. Wainwright , Peter L. Bartlett

Off-Policy Evaluation (OPE) serves as one of the cornerstones in Reinforcement Learning (RL). Fitted Q Evaluation (FQE) with various function approximators, especially deep neural networks, has gained practical success. While statistical…

Machine Learning · Statistics 2022-02-11 Ruiqi Zhang , Xuezhou Zhang , Chengzhuo Ni , Mengdi Wang

We introduce in this paper an optimal first-order method that allows an easy and cheap evaluation of the local Lipschitz constant of the objective's gradient. This constant must ideally be chosen at every iteration as small as possible,…

Optimization and Control · Mathematics 2012-07-18 Michel Baes , Michael Buergisser

Policy iteration is one of the classical frameworks of reinforcement learning, which requires a known initial stabilizing control. However, finding the initial stabilizing control depends on the known system model. To relax this requirement…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Dongdong Li , Jiuxiang Dong

Off-policy policy optimization is a challenging problem in reinforcement learning (RL). The algorithms designed for this problem often suffer from high variance in their estimators, which results in poor sample efficiency, and have issues…

Machine Learning · Computer Science 2020-09-15 Daoming Lyu , Qi Qi , Mohammad Ghavamzadeh , Hengshuai Yao , Tianbao Yang , Bo Liu

Off-policy evaluation methods are important in recommendation systems and search engines, where data collected under an existing logging policy is used to estimate the performance of a new proposed policy. A common approach to this problem…

Machine Learning · Computer Science 2023-01-04 Jaron J. R. Lee , David Arbour , Georgios Theocharous

Off-policy evaluation (OPE) is the method that attempts to estimate the performance of decision making policies using historical data generated by different policies without conducting costly online A/B tests. Accurate OPE is essential in…

Artificial Intelligence · Computer Science 2021-09-20 Yuta Saito , Takuma Udagawa , Kei Tateno