Off-policy Evaluation in Infinite-Horizon Reinforcement Learning with Latent Confounders
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Abstract (arXiv)
Off-policy evaluation (OPE) in reinforcement learning is an important problem in settings where experimentation is limited, such as education and healthcare. But, in these very same settings, observed actions are often confounded by unobserved variables making OPE even more difficult. We study an OPE problem in an infinite-horizon, ergodic Markov decision process with unobserved confounders, where states and actions can act as proxies for the unobserved confounders. We show how, given only a latent variable model for states and actions, policy value can be identified from off-policy data. Our method involves two stages. In the first, we show how to use proxies to estimate stationary distribution ratios, extending recent work on breaking the curse of horizon to the confounded setting. In the second, we show optimal balancing can be combined with such learned ratios to obtain policy value while avoiding direct modeling of reward functions. We establish theoretical guarantees of consistency, and benchmark our method empirically.
Key facts. Cited by 40 papers in the map (data through 7 Oct 2026). First posted on arXiv 27 Jul 2020.
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Citing papers per year: 2021: 10; 2022: 11; 2023: 8; 2024: 4; 2025: 5; 2026: 2.
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- 2022A Review of Off-Policy Evaluation in Reinforcement Learningcited by 92
- 2021Universal Off-Policy Evaluationcited by 43
- 2023A Survey on Causal Reinforcement Learningcited by 43
- 2021Proximal Reinforcement Learning: Efficient Off-Policy Evaluation in Partially Observed Markov Decision Processescited by 40
- 2021Causal Reinforcement Learning using Observational and Interventional Datacited by 38
- 2021Instrumental Variable Value Iteration for Causal Offline Reinforcement Learningcited by 35
- 2021A Minimax Learning Approach to Off-Policy Evaluation in Confounded Partially Observable Markov Decision Processescited by 34
- 2022Off-Policy Confidence Interval Estimation with Confounded Markov Decision Processcited by 31
- 2022Pessimism in the Face of Confounders: Provably Efficient Offline Reinforcement Learning in Partially Observable Markov Decision Processescited by 26
- 2021On Instrumental Variable Regression for Deep Offline Policy Evaluationcited by 22
- 2023Causal Reinforcement Learning: A Surveycited by 22
- 2021A Spectral Approach to Off-Policy Evaluation for POMDPscited by 20
28 more
- 2022Future-Dependent Value-Based Off-Policy Evaluation in POMDPscited by 20
- 2022An Instrumental Variable Approach to Confounded Off-Policy Evaluationcited by 20
- 2022Offline Policy Evaluation and Optimization under Confoundingcited by 12
- 2023Robust Fitted-Q-Evaluation and Iteration under Sequentially Exogenous Unobserved Confounderscited by 12
- 2021Training a Resilient Q-Network against Observational Interferencecited by 9
- 2022Strategic Decision-Making in the Presence of Information Asymmetry: Provably Efficient RL with Algorithmic Instrumentscited by 9
- 2022Functional Generalized Empirical Likelihood Estimation for Conditional Moment Restrictionscited by 8
- 2023Delphic Offline Reinforcement Learning under Nonidentifiable Hidden Confoundingcited by 7
- 2024Off-Policy Evaluation in Markov Decision Processes under Weak Distributional Overlapcited by 7
- 2021Ambiguous Dynamic Treatment Regimes: A Reinforcement Learning Approachcited by 6
- 2025Confounding Robust Deep Reinforcement Learning: A Causal Approachcited by 6
- 2021Causal Forecasting:Generalization Bounds for Autoregressive Modelscited by 5
- 2022A Reinforcement Learning Approach to Estimating Long-term Treatment Effectscited by 5
- 2023HOPE: Human-Centric Off-Policy Evaluation for E-Learning and Healthcarecited by 5
- 2023Estimation Beyond Data Reweighting: Kernel Method of Momentscited by 5
- 2024Learning Decision Policies with Instrumental Variables through Double Machine Learningcited by 5
- 2025Efficient and Sharp Off-Policy Learning under Unobserved Confoundingcited by 5
- 2023Offline Recommender System Evaluation under Unobserved Confoundingcited by 4
- 2024Advancing Investment Frontiers: Industry-grade Deep Reinforcement Learning for Portfolio Optimizationcited by 4
- 2025Reinforcement Learning with Continuous Actions Under Unmeasured Confoundingcited by 3
- 2023Off-Policy Evaluation for Action-Dependent Non-Stationary Environmentscited by 2
- 2024Sequential Decision Making with Expert Demonstrations under Unobserved Heterogeneitycited by 1
- 2025Unifying Causal Reinforcement Learning: Survey, Taxonomy, Algorithms and Applicationscited by 1
- 2026Causal Flow Q-Learning for Robust Offline Reinforcement Learningcited by 1
- 2022Statistical Estimation of Confounded Linear MDPs: An Instrumental Variable Approachcited by 0
- 2022Offline Reinforcement Learning for Human-Guided Human-Machine Interaction with Private Informationcited by 0
- 2025The Sample Complexity of Online Strategic Decision Making with Information Asymmetry and Knowledge Transportabilitycited by 0
- 2026Off-Policy Evaluation for Missingness-Aware Policies in MDPs with Rewards Missing Not at Randomcited by 0
- 2026Off-Policy Evaluation for Missingness-Aware Policies in MDPs with Rewards Missing Not at Random18 Jun 2026
- 2026Causal Flow Q-Learning for Robust Offline Reinforcement Learning2 Feb 2026
- 2025Unifying Causal Reinforcement Learning: Survey, Taxonomy, Algorithms and Applications19 Dec 2025
- 2025Confounding Robust Deep Reinforcement Learning: A Causal Approach24 Oct 2025
- 2025The Sample Complexity of Online Strategic Decision Making with Information Asymmetry and Knowledge Transportability11 Jun 2025
- 2025Reinforcement Learning with Continuous Actions Under Unmeasured Confounding1 May 2025
- 2025Efficient and Sharp Off-Policy Learning under Unobserved Confounding18 Feb 2025
- 2024Learning Decision Policies with Instrumental Variables through Double Machine Learning14 May 2024
- 2024Sequential Decision Making with Expert Demonstrations under Unobserved Heterogeneity10 Apr 2024
- 2024Advancing Investment Frontiers: Industry-grade Deep Reinforcement Learning for Portfolio Optimization27 Feb 2024
- 2024Off-Policy Evaluation in Markov Decision Processes under Weak Distributional Overlap13 Feb 2024
- 2023Offline Recommender System Evaluation under Unobserved Confounding8 Sep 2023
28 more
- 2023Causal Reinforcement Learning: A Survey4 Jul 2023
- 2023Delphic Offline Reinforcement Learning under Nonidentifiable Hidden Confounding1 Jun 2023
- 2023Estimation Beyond Data Reweighting: Kernel Method of Moments18 May 2023
- 2023HOPE: Human-Centric Off-Policy Evaluation for E-Learning and Healthcare18 Feb 2023
- 2023A Survey on Causal Reinforcement Learning10 Feb 2023
- 2023Robust Fitted-Q-Evaluation and Iteration under Sequentially Exogenous Unobserved Confounders1 Feb 2023
- 2023Off-Policy Evaluation for Action-Dependent Non-Stationary Environments24 Jan 2023
- 2022An Instrumental Variable Approach to Confounded Off-Policy Evaluation29 Dec 2022
- 2022Offline Reinforcement Learning for Human-Guided Human-Machine Interaction with Private Information23 Dec 2022
- 2022A Review of Off-Policy Evaluation in Reinforcement Learning13 Dec 2022
- 2022Offline Policy Evaluation and Optimization under Confounding29 Nov 2022
- 2022A Reinforcement Learning Approach to Estimating Long-term Treatment Effects14 Oct 2022
- 2022Statistical Estimation of Confounded Linear MDPs: An Instrumental Variable Approach12 Sep 2022
- 2022Strategic Decision-Making in the Presence of Information Asymmetry: Provably Efficient RL with Algorithmic Instruments23 Aug 2022
- 2022Future-Dependent Value-Based Off-Policy Evaluation in POMDPs26 Jul 2022
- 2022Functional Generalized Empirical Likelihood Estimation for Conditional Moment Restrictions11 Jul 2022
- 2022Pessimism in the Face of Confounders: Provably Efficient Offline Reinforcement Learning in Partially Observable Markov Decision Processes26 May 2022
- 2022Off-Policy Confidence Interval Estimation with Confounded Markov Decision Process22 Feb 2022
- 2021Ambiguous Dynamic Treatment Regimes: A Reinforcement Learning Approach8 Dec 2021
- 2021Causal Forecasting:Generalization Bounds for Autoregressive Models18 Nov 2021
- 2021A Minimax Learning Approach to Off-Policy Evaluation in Confounded Partially Observable Markov Decision Processes12 Nov 2021
- 2021Proximal Reinforcement Learning: Efficient Off-Policy Evaluation in Partially Observed Markov Decision Processes28 Oct 2021
- 2021A Spectral Approach to Off-Policy Evaluation for POMDPs22 Sep 2021
- 2021Causal Reinforcement Learning using Observational and Interventional Data28 Jun 2021
- 2021On Instrumental Variable Regression for Deep Offline Policy Evaluation21 May 2021
- 2021Universal Off-Policy Evaluation26 Apr 2021
- 2021Instrumental Variable Value Iteration for Causal Offline Reinforcement Learning19 Feb 2021
- 2021Training a Resilient Q-Network against Observational Interference18 Feb 2021
- 2021Proximal Reinforcement Learning: Efficient Off-Policy Evaluation in Partially Observed Markov Decision Processescited by 40
- 2021Instrumental Variable Value Iteration for Causal Offline Reinforcement Learningcited by 35
- 2022Pessimism in the Face of Confounders: Provably Efficient Offline Reinforcement Learning in Partially Observable Markov Decision Processescited by 26
- 2022Offline Policy Evaluation and Optimization under Confoundingcited by 12
- 2023Robust Fitted-Q-Evaluation and Iteration under Sequentially Exogenous Unobserved Confounderscited by 12
- 2022Strategic Decision-Making in the Presence of Information Asymmetry: Provably Efficient RL with Algorithmic Instrumentscited by 9
- 2023Delphic Offline Reinforcement Learning under Nonidentifiable Hidden Confoundingcited by 7
- 2022Offline Reinforcement Learning for Human-Guided Human-Machine Interaction with Private Informationcited by 0
- 2026Off-Policy Evaluation for Missingness-Aware Policies in MDPs with Rewards Missing Not at Randomcited by 0
- 2026Off-Policy Evaluation for Missingness-Aware Policies in MDPs with Rewards Missing Not at Random18 Jun 2026
- 2023Delphic Offline Reinforcement Learning under Nonidentifiable Hidden Confounding1 Jun 2023
- 2023Robust Fitted-Q-Evaluation and Iteration under Sequentially Exogenous Unobserved Confounders1 Feb 2023
- 2022Offline Reinforcement Learning for Human-Guided Human-Machine Interaction with Private Information23 Dec 2022
- 2022Offline Policy Evaluation and Optimization under Confounding29 Nov 2022
- 2022Strategic Decision-Making in the Presence of Information Asymmetry: Provably Efficient RL with Algorithmic Instruments23 Aug 2022
- 2022Pessimism in the Face of Confounders: Provably Efficient Offline Reinforcement Learning in Partially Observable Markov Decision Processes26 May 2022
- 2021Proximal Reinforcement Learning: Efficient Off-Policy Evaluation in Partially Observed Markov Decision Processes28 Oct 2021
- 2021Instrumental Variable Value Iteration for Causal Offline Reinforcement Learning19 Feb 2021
- 2022A Review of Off-Policy Evaluation in Reinforcement Learningcited by 92
- 2021Universal Off-Policy Evaluationcited by 43
- 2023A Survey on Causal Reinforcement Learningcited by 43
- 2021Causal Reinforcement Learning using Observational and Interventional Datacited by 38
- 2021A Minimax Learning Approach to Off-Policy Evaluation in Confounded Partially Observable Markov Decision Processescited by 34
- 2022Off-Policy Confidence Interval Estimation with Confounded Markov Decision Processcited by 31
- 2021On Instrumental Variable Regression for Deep Offline Policy Evaluationcited by 22
- 2023Causal Reinforcement Learning: A Surveycited by 22
- 2021A Spectral Approach to Off-Policy Evaluation for POMDPscited by 20
- 2022Future-Dependent Value-Based Off-Policy Evaluation in POMDPscited by 20
- 2022An Instrumental Variable Approach to Confounded Off-Policy Evaluationcited by 20
- 2021Training a Resilient Q-Network against Observational Interferencecited by 9
12 most cited of 30 All 30 (JSON)
- 2025Unifying Causal Reinforcement Learning: Survey, Taxonomy, Algorithms and Applications19 Dec 2025
- 2025Confounding Robust Deep Reinforcement Learning: A Causal Approach24 Oct 2025
- 2025The Sample Complexity of Online Strategic Decision Making with Information Asymmetry and Knowledge Transportability11 Jun 2025
- 2025Reinforcement Learning with Continuous Actions Under Unmeasured Confounding1 May 2025
- 2025Efficient and Sharp Off-Policy Learning under Unobserved Confounding18 Feb 2025
- 2024Learning Decision Policies with Instrumental Variables through Double Machine Learning14 May 2024
- 2024Sequential Decision Making with Expert Demonstrations under Unobserved Heterogeneity10 Apr 2024
- 2024Advancing Investment Frontiers: Industry-grade Deep Reinforcement Learning for Portfolio Optimization27 Feb 2024
- 2024Off-Policy Evaluation in Markov Decision Processes under Weak Distributional Overlap13 Feb 2024
- 2023Offline Recommender System Evaluation under Unobserved Confounding8 Sep 2023
- 2023Causal Reinforcement Learning: A Survey4 Jul 2023
- 2023Estimation Beyond Data Reweighting: Kernel Method of Moments18 May 2023
12 newest of 30 All 30 (JSON)