Finding Options that Minimize Planning Time
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Abstract (arXiv)
We formalize the problem of selecting the optimal set of options for planning as that of computing the smallest set of options so that planning converges in less than a given maximum of value-iteration passes. We first show that the problem is NP-hard, even if the task is constrained to be deterministic---the first such complexity result for option discovery. We then present the first polynomial-time boundedly suboptimal approximation algorithm for this setting, and empirically evaluate it against both the optimal options and a representative collection of heuristic approaches in simple grid-based domains including the classic four-rooms problem.
Key facts. Cited by 17 papers in the map (data through 14 Oct 2026). First posted on arXiv 16 Oct 2018.
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Citing papers per year: 2021: 1; 2022: 4; 2023: 5; 2024: 3; 2025: 1; 2026: 3.
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- 2021Temporal Abstraction in Reinforcement Learning with the Successor Representationcited by 54
- 2023Decomposing the Enigma: Subgoal-based Demonstration Learning for Formal Theorem Provingcited by 37
- 2022Humans decompose tasks by trading off utility and computational costcited by 18
- 2023Scalable Multi-agent Covering Option Discovery based on Kronecker Graphscited by 9
- 2026Compositional Planning with Jumpy World Modelscited by 7
- 2026Laplacian Representations for Decision-Time Planningcited by 5
- 2022Learning Multi-agent Skills for Tabular Reinforcement Learning using Factor Graphscited by 4
- 2026Intelligence as Managed Autonomy: Failure, Escalation, and Governance for Agentic AI Systemscited by 4
- 2022Toward Discovering Options that Achieve Faster Planningcited by 3
- 2025OptionZero: Planning with Learned Optionscited by 2
- 2023Offline Skill Graph (OSG): A Framework for Learning and Planning using Offline Reinforcement Learning Skillscited by 1
- 2023Iterative Option Discovery for Planning, by Planningcited by 1
5 more
- 2023SEGO: Sequential Subgoal Optimization for Mathematical Problem-Solvingcited by 1
- 2024MENTOR: Guiding Hierarchical Reinforcement Learning with Human Feedback and Dynamic Distance Constraintcited by 1
- 2024Subgoal Discovery Using a Free Energy Paradigm and State Aggregationscited by 1
- 2022Multi-Task Option Learning and Discovery for Stochastic Path Planningcited by 0
- 2024A New View on Planning in Online Reinforcement Learningcited by 0
- 2026Intelligence as Managed Autonomy: Failure, Escalation, and Governance for Agentic AI Systems26 May 2026
- 2026Compositional Planning with Jumpy World Models23 Feb 2026
- 2026Laplacian Representations for Decision-Time Planning4 Feb 2026
- 2025OptionZero: Planning with Learned Options23 Feb 2025
- 2024Subgoal Discovery Using a Free Energy Paradigm and State Aggregations21 Dec 2024
- 2024A New View on Planning in Online Reinforcement Learning3 Jun 2024
- 2024MENTOR: Guiding Hierarchical Reinforcement Learning with Human Feedback and Dynamic Distance Constraint22 Feb 2024
- 2023SEGO: Sequential Subgoal Optimization for Mathematical Problem-Solving19 Oct 2023
- 2023Iterative Option Discovery for Planning, by Planning2 Oct 2023
- 2023Scalable Multi-agent Covering Option Discovery based on Kronecker Graphs21 Jul 2023
- 2023Offline Skill Graph (OSG): A Framework for Learning and Planning using Offline Reinforcement Learning Skills23 Jun 2023
- 2023Decomposing the Enigma: Subgoal-based Demonstration Learning for Formal Theorem Proving25 May 2023
5 more
- 2022Humans decompose tasks by trading off utility and computational cost7 Nov 2022
- 2022Multi-Task Option Learning and Discovery for Stochastic Path Planning30 Sep 2022
- 2022Toward Discovering Options that Achieve Faster Planning25 May 2022
- 2022Learning Multi-agent Skills for Tabular Reinforcement Learning using Factor Graphs20 Jan 2022
- 2021Temporal Abstraction in Reinforcement Learning with the Successor Representation12 Oct 2021
- 2026Laplacian Representations for Decision-Time Planningcited by 5
- 2025OptionZero: Planning with Learned Optionscited by 2
- 2024Subgoal Discovery Using a Free Energy Paradigm and State Aggregationscited by 1
- 2024A New View on Planning in Online Reinforcement Learningcited by 0
- 2026Laplacian Representations for Decision-Time Planning4 Feb 2026
- 2025OptionZero: Planning with Learned Options23 Feb 2025
- 2024Subgoal Discovery Using a Free Energy Paradigm and State Aggregations21 Dec 2024
- 2024A New View on Planning in Online Reinforcement Learning3 Jun 2024
- 2026Compositional Planning with Jumpy World Modelscited by 7
- 2026Compositional Planning with Jumpy World Models23 Feb 2026
- 2021Temporal Abstraction in Reinforcement Learning with the Successor Representationcited by 54
- 2022Humans decompose tasks by trading off utility and computational costcited by 18
- 2023Scalable Multi-agent Covering Option Discovery based on Kronecker Graphscited by 9
- 2022Learning Multi-agent Skills for Tabular Reinforcement Learning using Factor Graphscited by 4
- 2022Toward Discovering Options that Achieve Faster Planningcited by 3
- 2023Iterative Option Discovery for Planning, by Planningcited by 1
- 2023SEGO: Sequential Subgoal Optimization for Mathematical Problem-Solvingcited by 1
- 2022Multi-Task Option Learning and Discovery for Stochastic Path Planningcited by 0
- 2023SEGO: Sequential Subgoal Optimization for Mathematical Problem-Solving19 Oct 2023
- 2023Iterative Option Discovery for Planning, by Planning2 Oct 2023
- 2023Scalable Multi-agent Covering Option Discovery based on Kronecker Graphs21 Jul 2023
- 2022Humans decompose tasks by trading off utility and computational cost7 Nov 2022
- 2022Multi-Task Option Learning and Discovery for Stochastic Path Planning30 Sep 2022
- 2022Toward Discovering Options that Achieve Faster Planning25 May 2022
- 2022Learning Multi-agent Skills for Tabular Reinforcement Learning using Factor Graphs20 Jan 2022
- 2021Temporal Abstraction in Reinforcement Learning with the Successor Representation12 Oct 2021