Error Bounds of Imitating Policies and Environments
On the map: Offline RL and imitation learning from data → Imitation learning methods
Abstract (arXiv)
Imitation learning trains a policy by mimicking expert demonstrations. Various imitation methods were proposed and empirically evaluated, meanwhile, their theoretical understanding needs further studies. In this paper, we firstly analyze the value gap between the expert policy and imitated policies by two imitation methods, behavioral cloning and generative adversarial imitation. The results support that generative adversarial imitation can reduce the compounding errors compared to behavioral cloning, and thus has a better sample complexity. Noticed that by considering the environment transition model as a dual agent, imitation learning can also be used to learn the environment model. Therefore, based on the bounds of imitating policies, we further analyze the performance of imitating environments. The results show that environment models can be more effectively imitated by generative adversarial imitation than behavioral cloning, suggesting a novel application of adversarial imitation for model-based reinforcement learning. We hope these results could inspire future advances in imitation learning and model-based reinforcement learning.
Key facts. Cited by 90 papers in the map (data through 14 Oct 2026). Placed in Imitation learning methods, one of 13 directions in Offline RL and imitation learning from data. First posted on arXiv 22 Oct 2020.
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Citing papers per year: 2021: 5; 2022: 19; 2023: 23; 2024: 24; 2025: 11; 2026: 8.
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- 2021Bridging Offline Reinforcement Learning and Imitation Learning: A Tale of Pessimismcited by 279
- 2026Self-Distillation Enables Continual Learningcited by 247
- 2024Preserving Diversity in Supervised Fine-Tuning of Large Language Modelscited by 70
- 2024Policy Decorator: Model-Agnostic Online Refinement for Large Policy Modelcited by 70
- 2022How Far I'll Go: Offline Goal-Conditioned Reinforcement Learning via f-Advantage Regressioncited by 66
- 2022A Survey on Model-based Reinforcement Learningcited by 66
- 2021NeoRL: A Near Real-World Benchmark for Offline Reinforcement Learningcited by 63
- 2023What is Essential for Unseen Goal Generalization of Offline Goal-conditioned RL?cited by 36
- 2025Generalist Reward Models: Found Inside Large Language Modelscited by 34
- 2022Active Exploration for Inverse Reinforcement Learningcited by 27
- 2022Proximal Point Imitation Learningcited by 26
- 2023When Demonstrations Meet Generative World Models: A Maximum Likelihood Framework for Offline Inverse Reinforcement Learningcited by 26
38 more
- 2023Towards Robust Offline Reinforcement Learning under Diverse Data Corruptioncited by 24
- 2023State Regularized Policy Optimization on Data with Dynamics Shiftcited by 23
- 2023Coherent Soft Imitation Learningcited by 22
- 2024Imitating Language via Scalable Inverse Reinforcement Learningcited by 21
- 2022Offline Reinforcement Learning with Causal Structured World Modelscited by 19
- 2024Vision-Language Navigation with Energy-Based Policycited by 19
- 2022A Ranking Game for Imitation Learningcited by 18
- 2023Plan To Predict: Learning an Uncertainty-Foreseeing Model for Model-Based Reinforcement Learningcited by 17
- 2024Off-Dynamics Reinforcement Learning via Domain Adaptation and Reward Augmented Imitationcited by 17
- 2022Delayed Reinforcement Learning by Imitationcited by 16
- 2023Provably Efficient Adversarial Imitation Learning with Unknown Transitionscited by 16
- 2022Rethinking ValueDice: Does It Really Improve Performance?cited by 15
- 2025Generative Models in Decision Making: A Surveycited by 15
- 2022Understanding Adversarial Imitation Learning in Small Sample Regime: A Stage-coupled Analysiscited by 13
- 2021Provably Breaking the Quadratic Error Compounding Barrier in Imitation Learning, Optimallycited by 12
- 2023Reward-Consistent Dynamics Models are Strongly Generalizable for Offline Reinforcement Learningcited by 12
- 2021Provably Efficient Generative Adversarial Imitation Learning for Online and Offline Setting with Linear Function Approximationcited by 11
- 2022Robust Imitation Learning from Corrupted Demonstrationscited by 10
- 2023On Imitation in Mean-field Gamescited by 10
- 2024Efficient Recurrent Off-Policy RL Requires a Context-Encoder-Specific Learning Ratecited by 10
- 2024OASIS: Conditional Distribution Shaping for Offline Safe Reinforcement Learningcited by 10
- 2023A Unified View on Solving Objective Mismatch in Model-Based Reinforcement Learningcited by 9
- 2023Time-series Generation by Contrastive Imitationcited by 9
- 2024Learning from Sparse Offline Datasets via Conservative Density Estimationcited by 9
- 2024Active Fine-Tuning of Multi-Task Policiescited by 9
- 2023How To Guide Your Learner: Imitation Learning with Active Adaptive Expert Involvementcited by 8
- 2024Offline Imitation Learning with Model-based Reverse Augmentationcited by 8
- 2022RITA: Boost Driving Simulators with Realistic Interactive Traffic Flowcited by 7
- 2023A Survey on Offline Model-Based Reinforcement Learningcited by 7
- 2023Adversarial Constrained Bidding via Minimax Regret Optimization with Causality-Aware Reinforcement Learningcited by 7
- 2024Latent Safety-Constrained Policy Approach for Safe Offline Reinforcement Learningcited by 7
- 2026On-Policy Distillation with Best-of-N Teacher Rollout Selectioncited by 7
- 2022Model-based Reinforcement Learning with Multi-step Plan Value Estimationcited by 6
- 2022Tight Performance Guarantees of Imitator Policies with Continuous Actionscited by 6
- 2024Provably and Practically Efficient Adversarial Imitation Learning with General Function Approximationcited by 6
- 2022Transferable Reward Learning by Dynamics-Agnostic Discriminator Ensemblecited by 5
- 2022On Efficient Online Imitation Learning via Classificationcited by 5
- 2023Sim2Rec: A Simulator-based Decision-making Approach to Optimize Real-World Long-term User Engagement in Sequential Recommender Systemscited by 5
50 most cited of 90 All 90 (JSON)
- 2026Provably Efficient Policy-Reward Co-Pretraining for Adversarial Imitation Learning20 Jun 2026
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- 2026Adversarial Imitation Learning with General Function Approximation: Theoretical Analysis and Practical Algorithms3 May 2026
- 2026Build on Priors: Vision--Language--Guided Neuro-Symbolic Imitation Learning for Data-Efficient Real-World Robot Manipulation4 Apr 2026
- 2026Non-Adversarial Imitation Learning Provably Free of Compounding Errors: The Value Flow Mechanism24 Mar 2026
- 2026Towards Practical World Model-based Reinforcement Learning for Vision-Language-Action Models21 Mar 2026
- 2026Bridging Dynamics Gaps via Diffusion Schr"odinger Bridge for Cross-Domain Reinforcement Learning27 Feb 2026
- 2026Self-Distillation Enables Continual Learning27 Jan 2026
- 2025Continuous Vision-Language-Action Co-Learning with Semantic-Physical Alignment for Behavioral Cloning18 Nov 2025
- 2025Blindfolded Experts Generalize Better: Insights from Robotic Manipulation and Videogames28 Oct 2025
- 2025Few-Shot Neuro-Symbolic Imitation Learning for Long-Horizon Planning and Acting29 Aug 2025
- 2025Generalist Reward Models: Found Inside Large Language Models29 Jun 2025
38 more
- 2025Beyond-Expert Performance with Limited Demonstrations: Efficient Imitation Learning with Double Exploration25 Jun 2025
- 2025Beyond the Proxy: Trajectory-Distilled Guidance for Offline GFlowNet Training26 May 2025
- 2025Curiosity-Diffuser: Curiosity Guide Diffusion Models for Reliability19 Mar 2025
- 2025Policy Regularization on Globally Accessible States in Cross-Dynamics Reinforcement Learning10 Mar 2025
- 2025Generative Models in Decision Making: A Survey24 Feb 2025
- 2025Towards Large-Scale In-Context Reinforcement Learning by Meta-Training in Randomized Worlds5 Feb 2025
- 2025On Generalization and Distributional Update for Mimicking Observations with Adequate Exploration22 Jan 2025
- 2024Policy Decorator: Model-Agnostic Online Refinement for Large Policy Model18 Dec 2024
- 2024Latent Safety-Constrained Policy Approach for Safe Offline Reinforcement Learning11 Dec 2024
- 2024Learning for Long-Horizon Planning via Neuro-Symbolic Abductive Imitation27 Nov 2024
- 2024Off-Dynamics Reinforcement Learning via Domain Adaptation and Reward Augmented Imitation15 Nov 2024
- 2024Problem Space Transformations for Out-of-Distribution Generalisation in Behavioural Cloning6 Nov 2024
- 2024Provably and Practically Efficient Adversarial Imitation Learning with General Function Approximation1 Nov 2024
- 2024Offline Behavior Distillation30 Oct 2024
- 2024Offline-to-online Reinforcement Learning for Image-based Grasping with Scarce Demonstrations19 Oct 2024
- 2024Vision-Language Navigation with Energy-Based Policy18 Oct 2024
- 2024Active Fine-Tuning of Multi-Task Policies7 Oct 2024
- 2024Imitating Language via Scalable Inverse Reinforcement Learning2 Sep 2024
- 2024Preserving Diversity in Supervised Fine-Tuning of Large Language Models29 Aug 2024
- 2024OASIS: Conditional Distribution Shaping for Offline Safe Reinforcement Learning19 Jul 2024
- 2024Offline Imitation Learning with Model-based Reverse Augmentation18 Jun 2024
- 2024An Imitative Reinforcement Learning Framework for Pursuit-Lock-Launch Missions17 Jun 2024
- 2024Provably Efficient Off-Policy Adversarial Imitation Learning with Convergence Guarantees26 May 2024
- 2024Efficient Recurrent Off-Policy RL Requires a Context-Encoder-Specific Learning Rate24 May 2024
- 2024Stealthy Imitation: Reward-guided Environment-free Policy Stealing11 May 2024
- 2024Overcoming Knowledge Barriers: Online Imitation Learning from Visual Observation with Pretrained World Models29 Apr 2024
- 2024Automated Feature Selection for Inverse Reinforcement Learning22 Mar 2024
- 2024Differentially Private Deep Model-Based Reinforcement Learning8 Feb 2024
- 2024Visual Imitation Learning with Calibrated Contrastive Representation21 Jan 2024
- 2024Offline Imitation Learning by Controlling the Effective Planning Horizon18 Jan 2024
- 2024Learning from Sparse Offline Datasets via Conservative Density Estimation16 Jan 2024
- 2023Exploring Gradient Explosion in Generative Adversarial Imitation Learning: A Probabilistic Perspective18 Dec 2023
- 2023A Statistical Guarantee for Representation Transfer in Multitask Imitation Learning2 Nov 2023
- 2023Time-series Generation by Contrastive Imitation2 Nov 2023
- 2023Towards Robust Offline Reinforcement Learning under Diverse Data Corruption19 Oct 2023
- 2023Imitation Learning from Purified Demonstrations11 Oct 2023
- 2023A Unified View on Solving Objective Mismatch in Model-Based Reinforcement Learning10 Oct 2023
- 2023Reward-Consistent Dynamics Models are Strongly Generalizable for Offline Reinforcement Learning9 Oct 2023
50 newest of 90 All 90 (JSON)
- 2021Bridging Offline Reinforcement Learning and Imitation Learning: A Tale of Pessimismcited by 279
- 2026Self-Distillation Enables Continual Learningcited by 247
- 2024Policy Decorator: Model-Agnostic Online Refinement for Large Policy Modelcited by 70
- 2022How Far I'll Go: Offline Goal-Conditioned Reinforcement Learning via f-Advantage Regressioncited by 66
- 2021NeoRL: A Near Real-World Benchmark for Offline Reinforcement Learningcited by 63
- 2023What is Essential for Unseen Goal Generalization of Offline Goal-conditioned RL?cited by 36
- 2022Active Exploration for Inverse Reinforcement Learningcited by 27
- 2022Proximal Point Imitation Learningcited by 26
- 2023Towards Robust Offline Reinforcement Learning under Diverse Data Corruptioncited by 24
- 2023Coherent Soft Imitation Learningcited by 22
- 2024Imitating Language via Scalable Inverse Reinforcement Learningcited by 21
- 2022A Ranking Game for Imitation Learningcited by 18
12 most cited of 60 All 60 (JSON)
- 2026Provably Efficient Policy-Reward Co-Pretraining for Adversarial Imitation Learning20 Jun 2026
- 2026Adversarial Imitation Learning with General Function Approximation: Theoretical Analysis and Practical Algorithms3 May 2026
- 2026Build on Priors: Vision--Language--Guided Neuro-Symbolic Imitation Learning for Data-Efficient Real-World Robot Manipulation4 Apr 2026
- 2026Non-Adversarial Imitation Learning Provably Free of Compounding Errors: The Value Flow Mechanism24 Mar 2026
- 2026Self-Distillation Enables Continual Learning27 Jan 2026
- 2025Blindfolded Experts Generalize Better: Insights from Robotic Manipulation and Videogames28 Oct 2025
- 2025Few-Shot Neuro-Symbolic Imitation Learning for Long-Horizon Planning and Acting29 Aug 2025
- 2025Beyond-Expert Performance with Limited Demonstrations: Efficient Imitation Learning with Double Exploration25 Jun 2025
- 2025Policy Regularization on Globally Accessible States in Cross-Dynamics Reinforcement Learning10 Mar 2025
- 2025On Generalization and Distributional Update for Mimicking Observations with Adequate Exploration22 Jan 2025
- 2024Policy Decorator: Model-Agnostic Online Refinement for Large Policy Model18 Dec 2024
- 2024Latent Safety-Constrained Policy Approach for Safe Offline Reinforcement Learning11 Dec 2024
12 newest of 60 All 60 (JSON)
- 2024Efficient Recurrent Off-Policy RL Requires a Context-Encoder-Specific Learning Ratecited by 10
- 2025Towards Large-Scale In-Context Reinforcement Learning by Meta-Training in Randomized Worldscited by 4
- 2024Offline Behavior Distillationcited by 2
- 2024An Imitative Reinforcement Learning Framework for Pursuit-Lock-Launch Missionscited by 0
- 2026Bridging Dynamics Gaps via Diffusion Schr"odinger Bridge for Cross-Domain Reinforcement Learningcited by 0
- 2026Bridging Dynamics Gaps via Diffusion Schr"odinger Bridge for Cross-Domain Reinforcement Learning27 Feb 2026
- 2025Towards Large-Scale In-Context Reinforcement Learning by Meta-Training in Randomized Worlds5 Feb 2025
- 2024Offline Behavior Distillation30 Oct 2024
- 2024An Imitative Reinforcement Learning Framework for Pursuit-Lock-Launch Missions17 Jun 2024
- 2024Efficient Recurrent Off-Policy RL Requires a Context-Encoder-Specific Learning Rate24 May 2024
- 2022A Survey on Model-based Reinforcement Learningcited by 66
- 2023When Demonstrations Meet Generative World Models: A Maximum Likelihood Framework for Offline Inverse Reinforcement Learningcited by 26
- 2022Offline Reinforcement Learning with Causal Structured World Modelscited by 19
- 2026Towards Practical World Model-based Reinforcement Learning for Vision-Language-Action Modelscited by 4
- 2024Overcoming Knowledge Barriers: Online Imitation Learning from Visual Observation with Pretrained World Modelscited by 2
- 2026Towards Practical World Model-based Reinforcement Learning for Vision-Language-Action Models21 Mar 2026
- 2024Overcoming Knowledge Barriers: Online Imitation Learning from Visual Observation with Pretrained World Models29 Apr 2024
- 2023When Demonstrations Meet Generative World Models: A Maximum Likelihood Framework for Offline Inverse Reinforcement Learning15 Feb 2023
- 2022A Survey on Model-based Reinforcement Learning19 Jun 2022
- 2022Offline Reinforcement Learning with Causal Structured World Models3 Jun 2022
- 2024Preserving Diversity in Supervised Fine-Tuning of Large Language Modelscited by 70
- 2023State Regularized Policy Optimization on Data with Dynamics Shiftcited by 23
- 2024Vision-Language Navigation with Energy-Based Policycited by 19
- 2023Plan To Predict: Learning an Uncertainty-Foreseeing Model for Model-Based Reinforcement Learningcited by 17
- 2022Delayed Reinforcement Learning by Imitationcited by 16
- 2025Generative Models in Decision Making: A Surveycited by 15
- 2023A Unified View on Solving Objective Mismatch in Model-Based Reinforcement Learningcited by 9
- 2023Time-series Generation by Contrastive Imitationcited by 9
- 2022RITA: Boost Driving Simulators with Realistic Interactive Traffic Flowcited by 7
- 2023Adversarial Constrained Bidding via Minimax Regret Optimization with Causality-Aware Reinforcement Learningcited by 7
- 2022Model-based Reinforcement Learning with Multi-step Plan Value Estimationcited by 6
- 2023Sim2Rec: A Simulator-based Decision-making Approach to Optimize Real-World Long-term User Engagement in Sequential Recommender Systemscited by 5
12 most cited of 14 All 14 (JSON)
- 2025Beyond the Proxy: Trajectory-Distilled Guidance for Offline GFlowNet Training26 May 2025
- 2025Generative Models in Decision Making: A Survey24 Feb 2025
- 2024Learning for Long-Horizon Planning via Neuro-Symbolic Abductive Imitation27 Nov 2024
- 2024Vision-Language Navigation with Energy-Based Policy18 Oct 2024
- 2024Preserving Diversity in Supervised Fine-Tuning of Large Language Models29 Aug 2024
- 2023Time-series Generation by Contrastive Imitation2 Nov 2023
- 2023A Unified View on Solving Objective Mismatch in Model-Based Reinforcement Learning10 Oct 2023
- 2023Adversarial Constrained Bidding via Minimax Regret Optimization with Causality-Aware Reinforcement Learning12 Jun 2023
- 2023State Regularized Policy Optimization on Data with Dynamics Shift6 Jun 2023
- 2023Sim2Rec: A Simulator-based Decision-making Approach to Optimize Real-World Long-term User Engagement in Sequential Recommender Systems3 May 2023
- 2023Plan To Predict: Learning an Uncertainty-Foreseeing Model for Model-Based Reinforcement Learning20 Jan 2023
- 2022RITA: Boost Driving Simulators with Realistic Interactive Traffic Flow7 Nov 2022
12 newest of 14 All 14 (JSON)
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