mlsanityData to 7 Oct 2026

IDQL: Implicit Q-Learning as an Actor-Critic Method with Diffusion Policies

arXiv 2304.10573 ↗First posted 20 Apr 2023cs.LG cs.AIcited by 307

On the map: Diffusion models → Diffusion and flow policies for robotics

also in 1 more
Abstract (arXiv)

Effective offline RL methods require properly handling out-of-distribution actions. Implicit Q-learning (IQL) addresses this by training a Q-function using only dataset actions through a modified Bellman backup. However, it is unclear which policy actually attains the values represented by this implicitly trained Q-function. In this paper, we reinterpret IQL as an actor-critic method by generalizing the critic objective and connecting it to a behavior-regularized implicit actor. This generalization shows how the induced actor balances reward maximization and divergence from the behavior policy, with the specific loss choice determining the nature of this tradeoff. Notably, this actor can exhibit complex and multimodal characteristics, suggesting issues with the conditional Gaussian actor fit with advantage weighted regression (AWR) used in prior methods. Instead, we propose using samples from a diffusion parameterized behavior policy and weights computed from the critic to then importance sampled our intended policy. We introduce Implicit Diffusion Q-learning (IDQL), combining our general IQL critic with the policy extraction method. IDQL maintains the ease of implementation of IQL while outperforming prior offline RL methods and demonstrating robustness to hyperparameters. Code is available at https://github.com/philippe-eecs/IDQL.

Key facts. Cited by 307 papers in the map (data through 7 Oct 2026). Placed in Diffusion and flow policies for robotics, one of 14 directions in Diffusion models. Builds on 41 of its 51 references that are in the map. First posted on arXiv 20 Apr 2023.

Builds on

41 of 51 references.

Closest ancestors · 4

Same direction, newest first

  1. 2023Goal-Conditioned Imitation Learning using Score-based Diffusion Policies5 Apr
  2. 2023Imitating Human Behaviour with Diffusion Models25 Jan
  3. 2022Is Conditional Generative Modeling all you need for Decision-Making?28 Nov
  4. 2022Diffusion Policies as an Expressive Policy Class for Offline Reinforcement Learning12 Aug

Other references · 37

  1. 2015Deep Residual Learning for Image Recognitioncited by 51,809
  2. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  3. 2020Denoising Diffusion Probabilistic Modelscited by 20,851
  4. 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
  5. 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
  6. 2016Layer Normalizationcited by 5,579
  7. 2016SGDR: Stochastic Gradient Descent with Warm Restartscited by 4,993
  8. 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,635
  9. 2021Improved Denoising Diffusion Probabilistic Modelscited by 3,736
  10. 2020Offline Reinforcement Learning: Tutorial, Review, and Perspectives on Open Problemscited by 1,873
  11. 2020Conservative Q-Learning for Offline Reinforcement Learningcited by 1,777
  12. 2021Decision Transformer: Reinforcement Learning via Sequence Modelingcited by 1,528
25 more
  1. 2020D4RL: Datasets for Deep Data-Driven Reinforcement Learningcited by 1,406
  2. 2021Offline Reinforcement Learning with Implicit Q-Learningcited by 1,245
  3. 2018Off-Policy Deep Reinforcement Learning without Explorationcited by 1,227
  4. 2022Planning with Diffusion for Flexible Behavior Synthesiscited by 1,023
  5. 2021A Minimalist Approach to Offline Reinforcement Learningcited by 882
  6. 2019Stabilizing Off-Policy Q-Learning via Bootstrapping Error Reductioncited by 833
  7. 2019Advantage-Weighted Regression: Simple and Scalable Off-Policy Reinforcement Learningcited by 750
  8. 2019Behavior Regularized Offline Reinforcement Learningcited by 654
  9. 2020AWAC: Accelerating Online Reinforcement Learning with Offline Datasetscited by 647
  10. 2021Offline Reinforcement Learning as One Big Sequence Modeling Problemcited by 636
  11. 2017Distributional Reinforcement Learning with Quantile Regressioncited by 464
  12. 2021Implicit Behavioral Cloningcited by 442
  13. 2023Efficient Online Reinforcement Learning with Offline Datacited by 332
  14. 2020Critic Regularized Regressioncited by 269
  15. 2018What is the Effect of Importance Weighting in Deep Learning?cited by 250
  16. 2021Offline Reinforcement Learning with Fisher Divergence Critic Regularizationcited by 237
  17. 2023Cal-QL: Calibrated Offline RL Pre-Training for Efficient Online Fine-Tuningcited by 230
  18. 2022Offline Reinforcement Learning via High-Fidelity Generative Behavior Modelingcited by 177
  19. 2020Controlling Overestimation Bias with Truncated Mixture of Continuous Distributional Quantile Criticscited by 154
  20. 2021Offline RL Without Off-Policy Evaluationcited by 150
  21. 2023Offline RL with No OOD Actions: In-Sample Learning via Implicit Value Regularizationcited by 114
  22. 2020EMaQ: Expected-Max Q-Learning Operator for Simple Yet Effective Offline and Online RLcited by 113
  23. 2023Extreme Q-Learning: MaxEnt RL without Entropycited by 113
  24. 2021Understanding the role of importance weighting for deep learningcited by 38
  25. 2022Know Your Boundaries: The Necessity of Explicit Behavioral Cloning in Offline RLcited by 21

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2023: 24; 2024: 69; 2025: 105; 2026: 109.

307 papers.

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  1. 2023Training Diffusion Models with Reinforcement Learningcited by 939
  2. 2023BridgeData V2: A Dataset for Robot Learning at Scalecited by 634
  3. 20243D Diffuser Actor: Policy Diffusion with 3D Scene Representationscited by 278
  4. 2024Diffusion Policy Policy Optimizationcited by 255
  5. 2023NoMaD: Goal Masked Diffusion Policies for Navigation and Explorationcited by 234
  6. 2025Flow Q-Learningcited by 162
  7. 2025Steering Your Diffusion Policy with Latent Space Reinforcement Learningcited by 149
  8. 2023Learning a Diffusion Model Policy from Rewards via Q-Score Matchingcited by 126
  9. 2024Steering Your Generalists: Improving Robotic Foundation Models via Value Guidancecited by 100
  10. 2024Diffusion-based Reinforcement Learning via Q-weighted Variational Policy Optimizationcited by 99
  11. 2023Consistency Models as a Rich and Efficient Policy Class for Reinforcement Learningcited by 93
  12. 2024Understanding Reinforcement Learning-Based Fine-Tuning of Diffusion Models: A Tutorial and Reviewcited by 92
38 more
  1. 2023Diffusion Models for Reinforcement Learning: A Surveycited by 84
  2. 2024One-Step Diffusion Policy: Fast Visuomotor Policies via Diffusion Distillationcited by 83
  3. 2025ReinFlow: Fine-tuning Flow Matching Policy with Online Reinforcement Learningcited by 83
  4. 2024Is Value Learning Really the Main Bottleneck in Offline RL?cited by 82
  5. 2024From Imitation to Refinement -- Residual RL for Precise Assemblycited by 80
  6. 2024An Overview of Diffusion Models: Applications, Guided Generation, Statistical Rates and Optimizationcited by 72
  7. 2024Policy Agnostic RL: Offline RL and Online RL Fine-Tuning of Any Class and Backbonecited by 71
  8. 2024Amortizing intractable inference in diffusion models for vision, language, and controlcited by 70
  9. 2025Energy-Weighted Flow Matching for Offline Reinforcement Learningcited by 70
  10. 2023Score Regularized Policy Optimization through Diffusion Behaviorcited by 67
  11. 2023Elastic Decision Transformercited by 66
  12. 2024Safe Offline Reinforcement Learning with Feasibility-Guided Diffusion Modelcited by 62
  13. 2025Efficient Online Reinforcement Learning for Diffusion Policycited by 61
  14. 2024Policy Decorator: Model-Agnostic Online Refinement for Large Policy Modelcited by 60
  15. 2024Unveil Conditional Diffusion Models with Classifier-free Guidance: A Sharp Statistical Theorycited by 58
  16. 2023Diffusion Reward: Learning Rewards via Conditional Video Diffusioncited by 56
  17. 2025Horizon Reduction Makes RL Scalablecited by 55
  18. 2025DIME:Diffusion-Based Maximum Entropy Reinforcement Learningcited by 52
  19. 2025Diffusion Guidance Is a Controllable Policy Improvement Operatorcited by 51
  20. 2024AdaFlow: Imitation Learning with Variance-Adaptive Flow-Based Policiescited by 50
  21. 2024Learning Multimodal Behaviors from Scratch with Diffusion Policy Gradientcited by 49
  22. 2023PlayFusion: Skill Acquisition via Diffusion from Language-Annotated Playcited by 48
  23. 2024Bidirectional Decoding: Improving Action Chunking via Guided Test-Time Samplingcited by 46
  24. 2024Diffusion-DICE: In-Sample Diffusion Guidance for Offline Reinforcement Learningcited by 42
  25. 2025Residual Off-Policy RL for Finetuning Behavior Cloning Policiescited by 42
  26. 2024Diffusion Policies creating a Trust Region for Offline Reinforcement Learningcited by 41
  27. 2024CleanDiffuser: An Easy-to-use Modularized Library for Diffusion Models in Decision Makingcited by 38
  28. 2025What Makes a Good Diffusion Planner for Decision Making?cited by 37
  29. 2023Boosting Continuous Control with Consistency Policycited by 36
  30. 2024Stochastic Runge-Kutta Methods: Provable Acceleration of Diffusion Modelscited by 35
  31. 2025Hyperspherical Normalization for Scalable Deep Reinforcement Learningcited by 35
  32. 2023World Models via Policy-Guided Trajectory Diffusioncited by 34
  33. 2023Provable Guarantees for Generative Behavior Cloning: Bridging Low-Level Stability and High-Level Behaviorcited by 33
  34. 2024Diffusion Actor-Critic: Formulating Constrained Policy Iteration as Diffusion Noise Regression for Offline Reinforcement Learningcited by 33
  35. 2026Q-learning with Adjoint Matchingcited by 33
  36. 2024Diffusion World Model: Future Modeling Beyond Step-by-Step Rollout for Offline Reinforcement Learningcited by 31
  37. 2025Diffusion Tree Sampling: Scalable inference-time alignment of diffusion modelscited by 31
  38. 2025EXPO: Stable Reinforcement Learning with Expressive Policiescited by 30

50 most cited of 307 All 307 (JSON)

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  1. 2025PIQL: Projective Implicit Q-Learning with Support Constraint for Offline Reinforcement Learning
  2. 2023LS-IQ: Implicit Reward Regularization for Inverse Reinforcement Learning
  3. 2025Actor-Critic without Actor
  4. 2025Behavior-Adaptive Q-Learning: A Unifying Framework for Offline-to-Online RL
  5. 2023IQL-TD-MPC: Implicit Q-Learning for Hierarchical Model Predictive Control
  6. 2026Offline Reinforcement Learning of High-Quality Behaviors Under Robust Style Alignment
  7. 2026Explicit Critic Guidance for Aligning Diffusion Models
  8. 2025BiCQL-ML: A Bi-Level Conservative Q-Learning Framework for Maximum Likelihood Inverse Reinforcement Learning