From Importance Sampling to Doubly Robust Policy Gradient
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Abstract (arXiv)
We show that on-policy policy gradient (PG) and its variance reduction variants can be derived by taking finite difference of function evaluations supplied by estimators from the importance sampling (IS) family for off-policy evaluation (OPE). Starting from the doubly robust (DR) estimator (Jiang & Li, 2016), we provide a simple derivation of a very general and flexible form of PG, which subsumes the state-of-the-art variance reduction technique (Cheng et al., 2019) as its special case and immediately hints at further variance reduction opportunities overlooked by existing literature. We analyze the variance of the new DR-PG estimator, compare it to existing methods as well as the Cramer-Rao lower bound of policy gradient, and empirically show its effectiveness.
Key facts. Cited by 17 papers in the map (data through 13 Oct 2026). First posted on arXiv 20 Oct 2019.
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Citing papers per year: 2020: 1; 2021: 6; 2022: 2; 2023: 2; 2024: 1; 2025: 2; 2026: 3.
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- 2020Offline Reinforcement Learning: Tutorial, Review, and Perspectives on Open Problemscited by 1,889
- 2021Doubly Robust Off-Policy Actor-Critic: Convergence and Optimalitycited by 20
- 2021Dealing with the Unknown: Pessimistic Offline Reinforcement Learningcited by 18
- 2021Adaptive Importance Sampling meets Mirror Descent: a Bias-variance tradeoffcited by 13
- 2022Offline Policy Optimization with Eligible Actionscited by 7
- 2022Off-Policy Risk Assessment in Markov Decision Processescited by 7
- 2021Unifying Gradient Estimators for Meta-Reinforcement Learning via Off-Policy Evaluationcited by 5
- 2025A Multi-Fidelity Control Variate Approach for Policy Gradient Estimationcited by 2
- 2021A Unified Off-Policy Evaluation Approach for General Value Functioncited by 1
- 2021Coordinate-wise Control Variates for Deep Policy Gradientscited by 1
- 2023Decision-Focused Evaluation: Analyzing Performance of Deployed Restless Multi-Arm Banditscited by 1
- 2023Recent Advances in the Foundations and Applications of Unbiased Learning to Rankcited by 1
5 more
- 2025Seldonian Reinforcement Learning for Ad Hoc Teamworkcited by 1
- 2024Improving Reward-Conditioned Policies for Multi-Armed Bandits using Normalized Weight Functionscited by 0
- 2026Off-Policy Evaluation and Learning for Survival Outcomes under Censoringcited by 0
- 2026Policy Gradient Steering: Interventions from Behavioral Objectivescited by 0
- 2026When Does External Guidance Help LLM Reasoning? A Bias-Variance Theory of Guidance-Augmented GRPOcited by 0
- 2026Policy Gradient Steering: Interventions from Behavioral Objectives30 Jul 2026
- 2026When Does External Guidance Help LLM Reasoning? A Bias-Variance Theory of Guidance-Augmented GRPO8 Jul 2026
- 2026Off-Policy Evaluation and Learning for Survival Outcomes under Censoring24 Mar 2026
- 2025A Multi-Fidelity Control Variate Approach for Policy Gradient Estimation7 Mar 2025
- 2025Seldonian Reinforcement Learning for Ad Hoc Teamwork5 Mar 2025
- 2024Improving Reward-Conditioned Policies for Multi-Armed Bandits using Normalized Weight Functions16 Jun 2024
- 2023Recent Advances in the Foundations and Applications of Unbiased Learning to Rank4 May 2023
- 2023Decision-Focused Evaluation: Analyzing Performance of Deployed Restless Multi-Arm Bandits19 Jan 2023
- 2022Off-Policy Risk Assessment in Markov Decision Processes21 Sep 2022
- 2022Offline Policy Optimization with Eligible Actions1 Jul 2022
- 2021Dealing with the Unknown: Pessimistic Offline Reinforcement Learning9 Nov 2021
- 2021Adaptive Importance Sampling meets Mirror Descent: a Bias-variance tradeoff29 Oct 2021
5 more
- 2021Coordinate-wise Control Variates for Deep Policy Gradients11 Jul 2021
- 2021A Unified Off-Policy Evaluation Approach for General Value Function6 Jul 2021
- 2021Unifying Gradient Estimators for Meta-Reinforcement Learning via Off-Policy Evaluation24 Jun 2021
- 2021Doubly Robust Off-Policy Actor-Critic: Convergence and Optimality23 Feb 2021
- 2020Offline Reinforcement Learning: Tutorial, Review, and Perspectives on Open Problems4 May 2020
- 2020Offline Reinforcement Learning: Tutorial, Review, and Perspectives on Open Problemscited by 1,889
- 2021Dealing with the Unknown: Pessimistic Offline Reinforcement Learningcited by 18
- 2022Offline Policy Optimization with Eligible Actionscited by 7
- 2025Seldonian Reinforcement Learning for Ad Hoc Teamworkcited by 1
- 2025Seldonian Reinforcement Learning for Ad Hoc Teamwork5 Mar 2025
- 2022Offline Policy Optimization with Eligible Actions1 Jul 2022
- 2021Dealing with the Unknown: Pessimistic Offline Reinforcement Learning9 Nov 2021
- 2020Offline Reinforcement Learning: Tutorial, Review, and Perspectives on Open Problems4 May 2020
- 2021Doubly Robust Off-Policy Actor-Critic: Convergence and Optimalitycited by 20
- 2021Adaptive Importance Sampling meets Mirror Descent: a Bias-variance tradeoffcited by 13
- 2022Off-Policy Risk Assessment in Markov Decision Processescited by 7
- 2021Unifying Gradient Estimators for Meta-Reinforcement Learning via Off-Policy Evaluationcited by 5
- 2021A Unified Off-Policy Evaluation Approach for General Value Functioncited by 1
- 2021Coordinate-wise Control Variates for Deep Policy Gradientscited by 1
- 2023Decision-Focused Evaluation: Analyzing Performance of Deployed Restless Multi-Arm Banditscited by 1
- 2023Recent Advances in the Foundations and Applications of Unbiased Learning to Rankcited by 1
- 2026Off-Policy Evaluation and Learning for Survival Outcomes under Censoringcited by 0
- 2026When Does External Guidance Help LLM Reasoning? A Bias-Variance Theory of Guidance-Augmented GRPOcited by 0
- 2026When Does External Guidance Help LLM Reasoning? A Bias-Variance Theory of Guidance-Augmented GRPO8 Jul 2026
- 2026Off-Policy Evaluation and Learning for Survival Outcomes under Censoring24 Mar 2026
- 2023Recent Advances in the Foundations and Applications of Unbiased Learning to Rank4 May 2023
- 2023Decision-Focused Evaluation: Analyzing Performance of Deployed Restless Multi-Arm Bandits19 Jan 2023
- 2022Off-Policy Risk Assessment in Markov Decision Processes21 Sep 2022
- 2021Adaptive Importance Sampling meets Mirror Descent: a Bias-variance tradeoff29 Oct 2021
- 2021Coordinate-wise Control Variates for Deep Policy Gradients11 Jul 2021
- 2021A Unified Off-Policy Evaluation Approach for General Value Function6 Jul 2021
- 2021Unifying Gradient Estimators for Meta-Reinforcement Learning via Off-Policy Evaluation24 Jun 2021
- 2021Doubly Robust Off-Policy Actor-Critic: Convergence and Optimality23 Feb 2021