mlsanityData to 7 Oct 2026

Reinforcement Learning via Fenchel-Rockafellar Duality

arXiv 2001.01866 ↗First posted 7 Jan 2020cs.LG stat.MLcited by 100

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Cited by 39 in Offline RL and imitation learning from data, but placed by its own abstract, which didn’t fit.

Abstract (arXiv)

We review basic concepts of convex duality, focusing on the very general and supremely useful Fenchel-Rockafellar duality. We summarize how this duality may be applied to a variety of reinforcement learning (RL) settings, including policy evaluation or optimization, online or offline learning, and discounted or undiscounted rewards. The derivations yield a number of intriguing results, including the ability to perform policy evaluation and on-policy policy gradient with behavior-agnostic offline data and methods to learn a policy via max-likelihood optimization. Although many of these results have appeared previously in various forms, we provide a unified treatment and perspective on these results, which we hope will enable researchers to better use and apply the tools of convex duality to make further progress in RL.

Key facts. Cited by 100 papers in the map (data through 7 Oct 2026). First posted on arXiv 7 Jan 2020.

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2020: 3; 2021: 15; 2022: 22; 2023: 20; 2024: 19; 2025: 18; 2026: 3.

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  1. 2020Offline Reinforcement Learning: Tutorial, Review, and Perspectives on Open Problemscited by 1,873
  2. 2020MOReL : Model-Based Offline Reinforcement Learningcited by 582
  3. 2022VIP: Towards Universal Visual Reward and Representation via Value-Implicit Pre-Trainingcited by 384
  4. 2020Is Pessimism Provably Efficient for Offline RL?cited by 362
  5. 2021Bridging Offline Reinforcement Learning and Imitation Learning: A Tale of Pessimismcited by 275
  6. 2022A Review of Safe Reinforcement Learning: Methods, Theory and Applicationscited by 169
  7. 2022Offline Reinforcement Learning with Realizability and Single-policy Concentrabilitycited by 122
  8. 2021Provable Benefits of Actor-Critic Methods for Offline Reinforcement Learningcited by 109
  9. 2022A Review of Off-Policy Evaluation in Reinforcement Learningcited by 92
  10. 2021A Workflow for Offline Model-Free Robotic Reinforcement Learningcited by 68
  11. 2022How Far I'll Go: Offline Goal-Conditioned Reinforcement Learning via f-Advantage Regressioncited by 65
  12. 2022Making Linear MDPs Practical via Contrastive Representation Learningcited by 49
38 more
  1. 2023Dual RL: Unification and New Methods for Reinforcement and Imitation Learningcited by 48
  2. 2021Twice regularized MDPs and the equivalence between robustness and regularizationcited by 46
  3. 2021Universal Off-Policy Evaluationcited by 43
  4. 2022Versatile Offline Imitation from Observations and Examples via Regularized State-Occupancy Matchingcited by 43
  5. 2024Diffusion-DICE: In-Sample Diffusion Guidance for Offline Reinforcement Learningcited by 42
  6. 2022DARA: Dynamics-Aware Reward Augmentation in Offline Reinforcement Learningcited by 40
  7. 2021The Information Geometry of Unsupervised Reinforcement Learningcited by 36
  8. 2024Diffusion Actor-Critic: Formulating Constrained Policy Iteration as Diffusion Noise Regression for Offline Reinforcement Learningcited by 33
  9. 2022Optimal Conservative Offline RL with General Function Approximation via Augmented Lagrangiancited by 29
  10. 2025Think Smarter not Harder: Adaptive Reasoning with Inference Aware Optimizationcited by 29
  11. 2021Density Constrained Reinforcement Learningcited by 25
  12. 2022Your Policy Regularizer is Secretly an Adversarycited by 21
  13. 2023SMORE: Score Models for Offline Goal-Conditioned Reinforcement Learningcited by 21
  14. 2024ODICE: Revealing the Mystery of Distribution Correction Estimation via Orthogonal-gradient Updatecited by 21
  15. 2022When is Realizability Sufficient for Off-Policy Reinforcement Learning?cited by 17
  16. 2023Offline Primal-Dual Reinforcement Learning for Linear MDPscited by 17
  17. 2024Proto Successor Measure: Representing the Behavior Space of an RL Agentcited by 17
  18. 2023Mind the Gap: Offline Policy Optimization for Imperfect Rewardscited by 15
  19. 2024A Distributional Analogue to the Successor Representationcited by 15
  20. 2022A Unified Framework for Alternating Offline Model Training and Policy Learningcited by 14
  21. 2021Continual Learning In Environments With Polynomial Mixing Timescited by 13
  22. 2024Offline Multi-task Transfer RL with Representational Penalizationcited by 13
  23. 2022Model-Free and Model-Based Policy Evaluation when Causality is Uncertaincited by 12
  24. 2022Bellman Residual Orthogonalization for Offline Reinforcement Learningcited by 10
  25. 2023TOM: Learning Policy-Aware Models for Model-Based Reinforcement Learning via Transition Occupancy Matchingcited by 10
  26. 2023AlberDICE: Addressing Out-Of-Distribution Joint Actions in Offline Multi-Agent RL via Alternating Stationary Distribution Correction Estimationcited by 10
  27. 2023Provable Representation with Efficient Planning for Partial Observable Reinforcement Learningcited by 10
  28. 2024A Dual Approach to Imitation Learning from Observations with Offline Datasetscited by 10
  29. 2024Near-Optimal Policy Identification in Robust Constrained Markov Decision Processes via Epigraph Formcited by 10
  30. 2025Offline Reinforcement Learning in Large State Spaces: Algorithms and Guaranteescited by 10
  31. 2021Efficient Performance Bounds for Primal-Dual Reinforcement Learning from Demonstrationscited by 9
  32. 2023Offline Minimax Soft-Q-learning Under Realizability and Partial Coveragecited by 9
  33. 2023A Unified View on Solving Objective Mismatch in Model-Based Reinforcement Learningcited by 9
  34. 2024Learning from Sparse Offline Datasets via Conservative Density Estimationcited by 9
  35. 2022Beyond the Return: Off-policy Function Estimation under User-specified Error-measuring Distributionscited by 8
  36. 2024ComaDICE: Offline Cooperative Multi-Agent Reinforcement Learning with Stationary Distribution Shift Regularizationcited by 8
  37. 2022A Unified Perspective on Value Backup and Exploration in Monte-Carlo Tree Searchcited by 6
  38. 2023Debiasing Conditional Stochastic Optimizationcited by 6

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