mlsanityData to 14 Oct 2026

MURAL: Meta-Learning Uncertainty-Aware Rewards for Outcome-Driven Reinforcement Learning

arXiv 2107.07184 ↗First posted 15 Jul 2021cs.LG cs.ROcited by 24

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Abstract (arXiv)

Exploration in reinforcement learning is a challenging problem: in the worst case, the agent must search for high-reward states that could be hidden anywhere in the state space. Can we define a more tractable class of RL problems, where the agent is provided with examples of successful outcomes? In this problem setting, the reward function can be obtained automatically by training a classifier to categorize states as successful or not. If trained properly, such a classifier can provide a well-shaped objective landscape that both promotes progress toward good states and provides a calibrated exploration bonus. In this work, we show that an uncertainty aware classifier can solve challenging reinforcement learning problems by both encouraging exploration and provided directed guidance towards positive outcomes. We propose a novel mechanism for obtaining these calibrated, uncertainty-aware classifiers based on an amortized technique for computing the normalized maximum likelihood (NML) distribution. To make this tractable, we propose a novel method for computing the NML distribution by using meta-learning. We show that the resulting algorithm has a number of intriguing connections to both count-based exploration methods and prior algorithms for learning reward functions, while also providing more effective guidance towards the goal. We demonstrate that our algorithm solves a number of challenging navigation and robotic manipulation tasks which prove difficult or impossible for prior methods.

Key facts. Cited by 24 papers in the map (data through 14 Oct 2026). Builds on 36 of its 59 references that are in the map. First posted on arXiv 15 Jul 2021.

Builds on

36 of 59 references.

References · 36

  1. 2017Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networkscited by 4,897
  2. 2016OpenAI Gymcited by 1,736
  3. 2016Generative Adversarial Imitation Learningcited by 1,597
  4. 2018Soft Actor-Critic Algorithms and Applicationscited by 1,240
  5. 2019Meta-World: A Benchmark and Evaluation for Multi-Task and Meta Reinforcement Learningcited by 1,204
  6. 2017Curiosity-driven Exploration by Self-supervised Predictioncited by 1,194
  7. 2017Hindsight Experience Replaycited by 1,136
  8. 2018Exploration by Random Network Distillationcited by 993
  9. 2015End-to-End Training of Deep Visuomotor Policiescited by 875
  10. 2017Learning Complex Dexterous Manipulation with Deep Reinforcement Learning and Demonstrationscited by 715
  11. 2018Learning Dexterous In-Hand Manipulationcited by 687
  12. 2016Unifying Count-Based Exploration and Intrinsic Motivationcited by 639
24 more
  1. 2019A Simple Baseline for Bayesian Uncertainty in Deep Learningcited by 560
  2. 2016Deep Exploration via Bootstrapped DQNcited by 527
  3. 2018Reinforcement Learning and Control as Probabilistic Inference: Tutorial and Reviewcited by 482
  4. 2017Towards Principled Methods for Training Generative Adversarial Networkscited by 464
  5. 2016Target-driven Visual Navigation in Indoor Scenes using Deep Reinforcement Learningcited by 366
  6. 2016#Exploration: A Study of Count-Based Exploration for Deep Reinforcement Learningcited by 309
  7. 2018Visual Reinforcement Learning with Imagined Goalscited by 251
  8. 2013(More) Efficient Reinforcement Learning via Posterior Samplingcited by 233
  9. 2019Skew-Fit: State-Covering Self-Supervised Reinforcement Learningcited by 174
  10. 2015Incentivizing Exploration In Reinforcement Learning With Deep Predictive Modelscited by 154
  11. 2019End-to-End Robotic Reinforcement Learning without Reward Engineeringcited by 122
  12. 2020The Ingredients of Real-World Robotic Reinforcement Learningcited by 117
  13. 2019Kinematic State Abstraction and Provably Efficient Rich-Observation Reinforcement Learningcited by 114
  14. 2018Unsupervised Control Through Non-Parametric Discriminative Rewardscited by 102
  15. 2018CURIOUS: Intrinsically Motivated Modular Multi-Goal Reinforcement Learningcited by 79
  16. 2018Variational Inverse Control with Events: A General Framework for Data-Driven Reward Definitioncited by 69
  17. 2017EX2: Exploration with Exemplar Models for Deep Reinforcement Learningcited by 42
  18. 2017Hindsight policy gradientscited by 37
  19. 2018Variational Bayesian Reinforcement Learning with Regret Boundscited by 31
  20. 2019Learning to Reach Goals via Iterated Supervised Learningcited by 26
  21. 2018Many-Goals Reinforcement Learningcited by 22
  22. 2019Deep pNML: Predictive Normalized Maximum Likelihood for Deep Neural Networkscited by 12
  23. 2019Learning latent state representation for speeding up explorationcited by 8
  24. 2020Amortized Conditional Normalized Maximum Likelihood: Reliable Out of Distribution Uncertainty Estimationcited by 6

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2022: 7; 2023: 6; 2024: 3; 2025: 5; 2026: 3.

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  1. 2022A Comprehensive Survey of Few-shot Learning: Evolution, Applications, Challenges, and Opportunitiescited by 163
  2. 2024SERL: A Software Suite for Sample-Efficient Robotic Reinforcement Learningcited by 136
  3. 2022Unpacking Reward Shaping: Understanding the Benefits of Reward Engineering on Sample Complexitycited by 62
  4. 2022UMIX: Improving Importance Weighting for Subpopulation Shift via Uncertainty-Aware Mixupcited by 34
  5. 2024COME: Test-time adaption by Conservatively Minimizing Entropycited by 31
  6. 2022Dexterous Manipulation from Images: Autonomous Real-World RL via Substep Guidancecited by 23
  7. 2025Rapidly Adapting Policies to the Real World via Simulation-Guided Fine-Tuningcited by 17
  8. 2023Outcome-directed Reinforcement Learning by Uncertainty & Temporal Distance-Aware Curriculum Goal Generationcited by 15
  9. 2025Uncertainty Quantification for Machine Learning in Healthcare: A Surveycited by 14
  10. 2023CQM: Curriculum Reinforcement Learning with a Quantized World Modelcited by 11
  11. 2022From Psychological Curiosity to Artificial Curiosity: Curiosity-Driven Learning in Artificial Intelligence Taskscited by 6
  12. 2025Guaranteeing Out-Of-Distribution Detection in Deep RL via Transition Estimationcited by 6
12 more
  1. 2022Open-Ended Reinforcement Learning with Neural Reward Functionscited by 5
  2. 2022CCLF: A Contrastive-Curiosity-Driven Learning Framework for Sample-Efficient Reinforcement Learningcited by 4
  3. 2023Diversify & Conquer: Outcome-directed Curriculum RL via Out-of-Distribution Disagreementcited by 4
  4. 2024BAMDP Shaping: a Unified Framework for Intrinsic Motivation and Reward Shapingcited by 4
  5. 2023Contrastive Example-Based Controlcited by 3
  6. 2023A Simple Solution for Offline Imitation from Observations and Examples with Possibly Incomplete Trajectoriescited by 3
  7. 2023Reweighted Mixup for Subpopulation Shiftcited by 2
  8. 2025Quantifying First-Order Markov Violations in Noisy Reinforcement Learning: A Causal Discovery Approachcited by 1
  9. 2026Learning Process Rewards via Success Visitation Matching for Efficient RLcited by 1
  10. 2025Elements of Active Continuous Learning and Uncertainty Self-Awareness: a Narrow Implementation for Face and Facial Expression Recognitioncited by 0
  11. 2026Latent Wasserstein Adversarial Imitation Learningcited by 0
  12. 2026Integrating Novelty and Surprise for Experience Prioritization and Exploration in Image-Based Reinforcement Learningcited by 0