Average-Reward Learning and Planning with Options
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Abstract (arXiv)
We extend the options framework for temporal abstraction in reinforcement learning from discounted Markov decision processes (MDPs) to average-reward MDPs. Our contributions include general convergent off-policy inter-option learning algorithms, intra-option algorithms for learning values and models, as well as sample-based planning variants of our learning algorithms. Our algorithms and convergence proofs extend those recently developed by Wan, Naik, and Sutton. We also extend the notion of option-interrupting behavior from the discounted to the average-reward formulation. We show the efficacy of the proposed algorithms with experiments on a continuing version of the Four-Room domain.
Key facts. Cited by 8 papers in the map (data through 7 Oct 2026). Builds on 9 of its 34 references that are in the map. First posted on arXiv 26 Oct 2021.
Builds on
9 of 34 references.
References · 9
- 2018Diversity is All You Need: Learning Skills without a Reward Functioncited by 734
- 2016The Option-Critic Architecturecited by 433
- 2016Variational Intrinsic Controlcited by 262
- 2018Variational Option Discovery Algorithmscited by 121
- 2017A Laplacian Framework for Option Discovery in Reinforcement Learningcited by 108
- 2020Learning and Planning in Average-Reward Markov Decision Processescited by 54
- 2021Average-Reward Off-Policy Policy Evaluation with Function Approximationcited by 30
- 2021Discovery of Options via Meta-Learned Subgoalscited by 27
- 2017Exploration--Exploitation in MDPs with Optionscited by 19
Built on by
Citing papers per year: 2022: 2; 2023: 0; 2024: 4; 2025: 1; 2026: 1.
8 papers.
- 2022Goal-Space Planning with Subgoal Modelscited by 12
- 2024Asymptotic and Finite Sample Analysis of Nonexpansive Stochastic Approximations with Markovian Noisecited by 10
- 2022On Convergence of Average-Reward Off-Policy Control Algorithms in Weakly Communicating MDPscited by 5
- 2024Asynchronous Stochastic Approximation with Applications to Average-Reward Reinforcement Learningcited by 2
- 2026Almost Sure Convergence of Differential Temporal Difference Learning for Average Reward Markov Decision Processescited by 2
- 2024Hierarchical Average-Reward Linearly-solvable Markov Decision Processescited by 1
- 2025Average-reward reinforcement learning in semi-Markov decision processes via relative value iterationcited by 1
- 2024A New View on Planning in Online Reinforcement Learningcited by 0
- 2026Almost Sure Convergence of Differential Temporal Difference Learning for Average Reward Markov Decision Processes18 Feb 2026
- 2025Average-reward reinforcement learning in semi-Markov decision processes via relative value iteration5 Dec 2025
- 2024Asymptotic and Finite Sample Analysis of Nonexpansive Stochastic Approximations with Markovian Noise29 Sep 2024
- 2024Asynchronous Stochastic Approximation with Applications to Average-Reward Reinforcement Learning5 Sep 2024
- 2024Hierarchical Average-Reward Linearly-solvable Markov Decision Processes9 Jul 2024
- 2024A New View on Planning in Online Reinforcement Learning3 Jun 2024
- 2022On Convergence of Average-Reward Off-Policy Control Algorithms in Weakly Communicating MDPs30 Sep 2022
- 2022Goal-Space Planning with Subgoal Models6 Jun 2022