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The Option Keyboard: Combining Skills in Reinforcement Learning

arXiv 2106.13105 ↗First posted 24 Jun 2021cs.AI cs.LGcited by 65

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Abstract (arXiv)

The ability to combine known skills to create new ones may be crucial in the solution of complex reinforcement learning problems that unfold over extended periods. We argue that a robust way of combining skills is to define and manipulate them in the space of pseudo-rewards (or "cumulants"). Based on this premise, we propose a framework for combining skills using the formalism of options. We show that every deterministic option can be unambiguously represented as a cumulant defined in an extended domain. Building on this insight and on previous results on transfer learning, we show how to approximate options whose cumulants are linear combinations of the cumulants of known options. This means that, once we have learned options associated with a set of cumulants, we can instantaneously synthesise options induced by any linear combination of them, without any learning involved. We describe how this framework provides a hierarchical interface to the environment whose abstract actions correspond to combinations of basic skills. We demonstrate the practical benefits of our approach in a resource management problem and a navigation task involving a quadrupedal simulated robot.

Key facts. Cited by 65 papers in the map (data through 7 Oct 2026). Builds on 14 of its 35 references that are in the map. First posted on arXiv 24 Jun 2021.

Builds on

14 of 35 references.

References · 14

  1. 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,635
  2. 2015High-Dimensional Continuous Control Using Generalized Advantage Estimationcited by 1,916
  3. 2017Reinforcement Learning with Deep Energy-Based Policiescited by 659
  4. 2016The Option-Critic Architecturecited by 433
  5. 2016Successor Features for Transfer in Reinforcement Learningcited by 331
  6. 2017FeUdal Networks for Hierarchical Reinforcement Learningcited by 328
  7. 2015Taming the Noise in Reinforcement Learning via Soft Updatescited by 125
  8. 2018Universal Successor Features Approximatorscited by 102
  9. 2017Meta Learning Shared Hierarchiescited by 93
  10. 2019Transfer in Deep Reinforcement Learning Using Successor Features and Generalised Policy Improvementcited by 88
  11. 2018Composable Deep Reinforcement Learning for Robotic Manipulationcited by 70
  12. 2018Latent Space Policies for Hierarchical Reinforcement Learningcited by 66
2 more
  1. 2016Learning and Transfer of Modulated Locomotor Controllerscited by 59
  2. 2018Composing Entropic Policies using Divergence Correctioncited by 1

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 9; 2022: 19; 2023: 14; 2024: 8; 2025: 7; 2026: 8.

65 papers.

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  1. 2021Scalable Evaluation of Multi-Agent Reinforcement Learning with Melting Potcited by 97
  2. 2021Temporal Abstraction in Reinforcement Learning with the Successor Representationcited by 52
  3. 2022Melting Pot 2.0cited by 37
  4. 2022Discovering Policies with DOMiNO: Diversity Optimization Maintaining Near Optimalitycited by 35
  5. 2023Contrastive Difference Predictive Codingcited by 35
  6. 2023Behavior Contrastive Learning for Unsupervised Skill Discoverycited by 26
  7. 2021Value Function Spaces: Skill-Centric State Abstractions for Long-Horizon Reasoningcited by 25
  8. 2021When should agents explore?cited by 20
  9. 2022The Alberta Plan for AI Researchcited by 17
  10. 2022The Effectiveness of World Models for Continual Reinforcement Learningcited by 15
  11. 2023Diversifying AI: Towards Creative Chess with AlphaZerocited by 15
  12. 2021Constructing a Good Behavior Basis for Transfer using Generalized Policy Updatescited by 14
38 more
  1. 2021A New Representation of Successor Features for Transfer across Dissimilar Environmentscited by 13
  2. 2022Goal-Space Planning with Subgoal Modelscited by 12
  3. 2023Combining Behaviors with the Successor Features Keyboardcited by 12
  4. 2022Generalised Policy Improvement with Geometric Policy Compositioncited by 11
  5. 2022Continual Auxiliary Task Learningcited by 9
  6. 2024Disentangled Unsupervised Skill Discovery for Efficient Hierarchical Reinforcement Learningcited by 9
  7. 2023Shattering the Agent-Environment Interface for Fine-Tuning Inclusive Language Modelscited by 8
  8. 2022Lazy-MDPs: Towards Interpretable Reinforcement Learning by Learning When to Actcited by 7
  9. 2022Skill Machines: Temporal Logic Skill Composition in Reinforcement Learningcited by 7
  10. 2022Meta-Learning Parameterized Skillscited by 7
  11. 2022ASPiRe:Adaptive Skill Priors for Reinforcement Learningcited by 7
  12. 2023Composing Task Knowledge with Modular Successor Feature Approximatorscited by 7
  13. 2021Globally Optimal Hierarchical Reinforcement Learning for Linearly-Solvable Markov Decision Processescited by 6
  14. 2021Successor Feature Representationscited by 6
  15. 2022Value Function Decomposition for Iterative Design of Reinforcement Learning Agentscited by 6
  16. 2023Counting Reward Automata: Sample Efficient Reinforcement Learning Through the Exploitation of Reward Function Structurecited by 6
  17. 2022A Look at Value-Based Decision-Time vs. Background Planning Methods Across Different Settingscited by 5
  18. 2025Self-Improving Skill Learning for Robust Skill-based Meta-Reinforcement Learningcited by 5
  19. 2022Probing Transfer in Deep Reinforcement Learning without Task Engineeringcited by 4
  20. 2024Planning with a Learned Policy Basis to Optimally Solve Complex Taskscited by 4
  21. 2026Compositional Planning with Jumpy World Modelscited by 4
  22. 2022Beyond Rewards: a Hierarchical Perspective on Offline Multiagent Behavioral Analysiscited by 3
  23. 2023Bounding the Optimal Value Function in Compositional Reinforcement Learningcited by 3
  24. 2024Learning Uncertainty-Aware Temporally-Extended Actionscited by 3
  25. 2024Unsupervised Skill Discovery for Robotic Manipulation through Automatic Task Generationcited by 3
  26. 2025Toward Agents That Reason About Their Computationcited by 3
  27. 2022Exploring with Sticky Mittens: Reinforcement Learning with Expert Interventions via Option Templatescited by 2
  28. 2023Diversity Through Exclusion (DTE): Niche Identification for Reinforcement Learning through Value-Decompositioncited by 2
  29. 2023Scaling Goal-based Exploration via Pruning Proto-goalscited by 2
  30. 2024When Do Skills Help Reinforcement Learning? A Theoretical Analysis of Temporal Abstractionscited by 2
  31. 2025Behaviour Discovery and Attribution for Explainable Reinforcement Learningcited by 2
  32. 2025Constructing an Optimal Behavior Basis for the Option Keyboardcited by 2
  33. 2021Option Transfer and SMDP Abstraction with Successor Featurescited by 1
  34. 2022Task Relabelling for Multi-task Transfer using Successor Featurescited by 1
  35. 2023Uncertainty-aware transfer across tasks using hybrid model-based successor feature reinforcement learningcited by 1
  36. 2024Hierarchical Average-Reward Linearly-solvable Markov Decision Processescited by 1
  37. 2025Energy-Based Transfer for Reinforcement Learningcited by 1
  38. 2025Learning Parameterized Skills from Demonstrationscited by 1

50 most cited of 65 All 65 (JSON)