Interpolated Policy Gradient: Merging On-Policy and Off-Policy Gradient Estimation for Deep Reinforcement Learning
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Abstract (arXiv)
Off-policy model-free deep reinforcement learning methods using previously collected data can improve sample efficiency over on-policy policy gradient techniques. On the other hand, on-policy algorithms are often more stable and easier to use. This paper examines, both theoretically and empirically, approaches to merging on- and off-policy updates for deep reinforcement learning. Theoretical results show that off-policy updates with a value function estimator can be interpolated with on-policy policy gradient updates whilst still satisfying performance bounds. Our analysis uses control variate methods to produce a family of policy gradient algorithms, with several recently proposed algorithms being special cases of this family. We then provide an empirical comparison of these techniques with the remaining algorithmic details fixed, and show how different mixing of off-policy gradient estimates with on-policy samples contribute to improvements in empirical performance. The final algorithm provides a generalization and unification of existing deep policy gradient techniques, has theoretical guarantees on the bias introduced by off-policy updates, and improves on the state-of-the-art model-free deep RL methods on a number of OpenAI Gym continuous control benchmarks.
Key facts. Cited by 40 papers in the map (data through 7 Oct 2026). First posted on arXiv 1 Jun 2017.
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Citing papers per year: 2019: 1; 2020: 2; 2021: 11; 2022: 7; 2023: 5; 2024: 5; 2025: 5; 2026: 4.
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- 2020Offline Reinforcement Learning: Tutorial, Review, and Perspectives on Open Problemscited by 1,873
- 2020MOPO: Model-based Offline Policy Optimizationcited by 630
- 2021Generalized Decision Transformer for Offline Hindsight Information Matchingcited by 105
- 2021Generalized Proximal Policy Optimization with Sample Reusecited by 39
- 2025RollPacker: Mitigating Long-Tail Rollouts for Fast, Synchronous RL Post-Trainingcited by 31
- 2025Asymmetric REINFORCE for off-Policy Reinforcement Learning: Balancing positive and negative rewardscited by 29
- 2021Policy Information Capacity: Information-Theoretic Measure for Task Complexity in Deep Reinforcement Learningcited by 15
- 2021Co-Adaptation of Algorithmic and Implementational Innovations in Inference-based Deep Reinforcement Learningcited by 15
- 2021Variational Empowerment as Representation Learning for Goal-Based Reinforcement Learningcited by 15
- 2022Risk-Sensitive Reinforcement Learning with Exponential Criteriacited by 15
- 2019VILD: Variational Imitation Learning with Diverse-quality Demonstrationscited by 12
- 2021A unified view of likelihood ratio and reparameterization gradientscited by 12
28 more
- 2022Evolutionary Deep Reinforcement Learning for Dynamic Slice Management in O-RANcited by 11
- 2023Offline Data Enhanced On-Policy Policy Gradient with Provable Guaranteescited by 11
- 2023Intrinsic Language-Guided Exploration for Complex Long-Horizon Robotic Manipulation Taskscited by 8
- 2023On-Policy Policy Gradient Reinforcement Learning Without On-Policy Samplingcited by 6
- 2021Off-Policy Actor-Critic with Emphatic Weightingscited by 5
- 2021Adaptively Calibrated Critic Estimates for Deep Reinforcement Learningcited by 5
- 2021Combining Off and On-Policy Training in Model-Based Reinforcement Learningcited by 4
- 2024iMTSP: Solving Min-Max Multiple Traveling Salesman Problem with Imperative Learningcited by 4
- 2025Enhancing PPO with Trajectory-Aware Hybrid Policiescited by 4
- 2022Mitigating Off-Policy Bias in Actor-Critic Methods with One-Step Q-learning: A Novel Correction Approachcited by 3
- 2024Revisiting Experience Replayable Conditionscited by 3
- 2021Cautious Actor-Criticcited by 2
- 2022Policy Learning and Evaluation with Randomized Quasi-Monte Carlocited by 2
- 2026SynPlanResearch-R1: Encouraging Tool Exploration for Deep Research with Synthetic Planscited by 2
- 2021Coordinate-wise Control Variates for Deep Policy Gradientscited by 1
- 2022Generalized Policy Improvement Algorithms with Theoretically Supported Sample Reusecited by 1
- 2022Coordinate Ascent for Off-Policy RL with Global Convergence Guaranteescited by 1
- 2023Distillation Policy Optimizationcited by 1
- 2025Enhancing Sample Efficiency in Multi-Agent RL with Uncertainty Quantification and Selective Explorationcited by 1
- 2022Benchmarking Deep Reinforcement Learning Algorithms for Vision-based Roboticscited by 0
- 2023RObotic MAnipulation Network (ROMAN) -- Hybrid Hierarchical Learning for Solving Complex Sequential Taskscited by 0
- 2024Off-OAB: Off-Policy Policy Gradient Method with Optimal Action-Dependent Baselinecited by 0
- 2024Conceptual Belief-Informed Reinforcement Learningcited by 0
- 2024Machine Learning Innovations in CPR: A Comprehensive Survey on Enhanced Resuscitation Techniquescited by 0
- 2025Functional Critics Are Essential for Actor-Critic: From Off-Policy Stability to Efficient Explorationcited by 0
- 2026ExO-PPO: an Extended Off-policy Proximal Policy Optimization Algorithmcited by 0
- 2026SafeExplorer: An Unbiased Policy Gradient for Reinforcement Learning with Recovery Interventionscited by 0
- 2026Reusing Past Samples in Proximal Policy Optimization: When and How Does It Help?cited by 0
- 2026Reusing Past Samples in Proximal Policy Optimization: When and How Does It Help?1 Oct 2026
- 2026SafeExplorer: An Unbiased Policy Gradient for Reinforcement Learning with Recovery Interventions9 Jul 2026
- 2026SynPlanResearch-R1: Encouraging Tool Exploration for Deep Research with Synthetic Plans9 Mar 2026
- 2026ExO-PPO: an Extended Off-policy Proximal Policy Optimization Algorithm10 Feb 2026
- 2025Functional Critics Are Essential for Actor-Critic: From Off-Policy Stability to Efficient Exploration26 Sep 2025
- 2025RollPacker: Mitigating Long-Tail Rollouts for Fast, Synchronous RL Post-Training25 Sep 2025
- 2025Asymmetric REINFORCE for off-Policy Reinforcement Learning: Balancing positive and negative rewards25 Jun 2025
- 2025Enhancing Sample Efficiency in Multi-Agent RL with Uncertainty Quantification and Selective Exploration3 Jun 2025
- 2025Enhancing PPO with Trajectory-Aware Hybrid Policies21 Feb 2025
- 2024Machine Learning Innovations in CPR: A Comprehensive Survey on Enhanced Resuscitation Techniques3 Nov 2024
- 2024Conceptual Belief-Informed Reinforcement Learning2 Oct 2024
- 2024Off-OAB: Off-Policy Policy Gradient Method with Optimal Action-Dependent Baseline4 May 2024
28 more
- 2024iMTSP: Solving Min-Max Multiple Traveling Salesman Problem with Imperative Learning1 May 2024
- 2024Revisiting Experience Replayable Conditions15 Feb 2024
- 2023Offline Data Enhanced On-Policy Policy Gradient with Provable Guarantees14 Nov 2023
- 2023On-Policy Policy Gradient Reinforcement Learning Without On-Policy Sampling14 Nov 2023
- 2023Intrinsic Language-Guided Exploration for Complex Long-Horizon Robotic Manipulation Tasks28 Sep 2023
- 2023RObotic MAnipulation Network (ROMAN) -- Hybrid Hierarchical Learning for Solving Complex Sequential Tasks30 Jun 2023
- 2023Distillation Policy Optimization1 Feb 2023
- 2022Risk-Sensitive Reinforcement Learning with Exponential Criteria18 Dec 2022
- 2022Coordinate Ascent for Off-Policy RL with Global Convergence Guarantees10 Dec 2022
- 2022Evolutionary Deep Reinforcement Learning for Dynamic Slice Management in O-RAN30 Aug 2022
- 2022Mitigating Off-Policy Bias in Actor-Critic Methods with One-Step Q-learning: A Novel Correction Approach1 Aug 2022
- 2022Generalized Policy Improvement Algorithms with Theoretically Supported Sample Reuse28 Jun 2022
- 2022Policy Learning and Evaluation with Randomized Quasi-Monte Carlo16 Feb 2022
- 2022Benchmarking Deep Reinforcement Learning Algorithms for Vision-based Robotics11 Jan 2022
- 2021Adaptively Calibrated Critic Estimates for Deep Reinforcement Learning24 Nov 2021
- 2021Generalized Decision Transformer for Offline Hindsight Information Matching19 Nov 2021
- 2021Off-Policy Actor-Critic with Emphatic Weightings16 Nov 2021
- 2021Generalized Proximal Policy Optimization with Sample Reuse29 Oct 2021
- 2021Cautious Actor-Critic12 Jul 2021
- 2021Coordinate-wise Control Variates for Deep Policy Gradients11 Jul 2021
- 2021Variational Empowerment as Representation Learning for Goal-Based Reinforcement Learning2 Jun 2021
- 2021A unified view of likelihood ratio and reparameterization gradients31 May 2021
- 2021Co-Adaptation of Algorithmic and Implementational Innovations in Inference-based Deep Reinforcement Learning31 Mar 2021
- 2021Policy Information Capacity: Information-Theoretic Measure for Task Complexity in Deep Reinforcement Learning23 Mar 2021
- 2021Combining Off and On-Policy Training in Model-Based Reinforcement Learning24 Feb 2021
- 2020MOPO: Model-based Offline Policy Optimization27 May 2020
- 2020Offline Reinforcement Learning: Tutorial, Review, and Perspectives on Open Problems4 May 2020
- 2019VILD: Variational Imitation Learning with Diverse-quality Demonstrations15 Sep 2019
- 2020Offline Reinforcement Learning: Tutorial, Review, and Perspectives on Open Problemscited by 1,873
- 2020MOPO: Model-based Offline Policy Optimizationcited by 630
- 2021Generalized Decision Transformer for Offline Hindsight Information Matchingcited by 105
- 2019VILD: Variational Imitation Learning with Diverse-quality Demonstrationscited by 12
- 2023Offline Data Enhanced On-Policy Policy Gradient with Provable Guaranteescited by 11
- 2023RObotic MAnipulation Network (ROMAN) -- Hybrid Hierarchical Learning for Solving Complex Sequential Taskscited by 0
- 2023Offline Data Enhanced On-Policy Policy Gradient with Provable Guarantees14 Nov 2023
- 2023RObotic MAnipulation Network (ROMAN) -- Hybrid Hierarchical Learning for Solving Complex Sequential Tasks30 Jun 2023
- 2021Generalized Decision Transformer for Offline Hindsight Information Matching19 Nov 2021
- 2020MOPO: Model-based Offline Policy Optimization27 May 2020
- 2020Offline Reinforcement Learning: Tutorial, Review, and Perspectives on Open Problems4 May 2020
- 2019VILD: Variational Imitation Learning with Diverse-quality Demonstrations15 Sep 2019
- 2021Generalized Proximal Policy Optimization with Sample Reusecited by 39
- 2025Asymmetric REINFORCE for off-Policy Reinforcement Learning: Balancing positive and negative rewardscited by 29
- 2021Policy Information Capacity: Information-Theoretic Measure for Task Complexity in Deep Reinforcement Learningcited by 15
- 2021Co-Adaptation of Algorithmic and Implementational Innovations in Inference-based Deep Reinforcement Learningcited by 15
- 2021Variational Empowerment as Representation Learning for Goal-Based Reinforcement Learningcited by 15
- 2022Risk-Sensitive Reinforcement Learning with Exponential Criteriacited by 15
- 2021A unified view of likelihood ratio and reparameterization gradientscited by 12
- 2022Evolutionary Deep Reinforcement Learning for Dynamic Slice Management in O-RANcited by 11
- 2023Intrinsic Language-Guided Exploration for Complex Long-Horizon Robotic Manipulation Taskscited by 8
- 2023On-Policy Policy Gradient Reinforcement Learning Without On-Policy Samplingcited by 6
- 2021Off-Policy Actor-Critic with Emphatic Weightingscited by 5
- 2021Adaptively Calibrated Critic Estimates for Deep Reinforcement Learningcited by 5
12 most cited of 32 All 32 (JSON)
- 2026Reusing Past Samples in Proximal Policy Optimization: When and How Does It Help?1 Oct 2026
- 2026SafeExplorer: An Unbiased Policy Gradient for Reinforcement Learning with Recovery Interventions9 Jul 2026
- 2026ExO-PPO: an Extended Off-policy Proximal Policy Optimization Algorithm10 Feb 2026
- 2025Functional Critics Are Essential for Actor-Critic: From Off-Policy Stability to Efficient Exploration26 Sep 2025
- 2025Asymmetric REINFORCE for off-Policy Reinforcement Learning: Balancing positive and negative rewards25 Jun 2025
- 2025Enhancing Sample Efficiency in Multi-Agent RL with Uncertainty Quantification and Selective Exploration3 Jun 2025
- 2025Enhancing PPO with Trajectory-Aware Hybrid Policies21 Feb 2025
- 2024Machine Learning Innovations in CPR: A Comprehensive Survey on Enhanced Resuscitation Techniques3 Nov 2024
- 2024Conceptual Belief-Informed Reinforcement Learning2 Oct 2024
- 2024Off-OAB: Off-Policy Policy Gradient Method with Optimal Action-Dependent Baseline4 May 2024
- 2024iMTSP: Solving Min-Max Multiple Traveling Salesman Problem with Imperative Learning1 May 2024
- 2024Revisiting Experience Replayable Conditions15 Feb 2024
12 newest of 32 All 32 (JSON)