Induction of Subgoal Automata for Reinforcement Learning
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Abstract (arXiv)
In this work we present ISA, a novel approach for learning and exploiting subgoals in reinforcement learning (RL). Our method relies on inducing an automaton whose transitions are subgoals expressed as propositional formulas over a set of observable events. A state-of-the-art inductive logic programming system is used to learn the automaton from observation traces perceived by the RL agent. The reinforcement learning and automaton learning processes are interleaved: a new refined automaton is learned whenever the RL agent generates a trace not recognized by the current automaton. We evaluate ISA in several gridworld problems and show that it performs similarly to a method for which automata are given in advance. We also show that the learned automata can be exploited to speed up convergence through reward shaping and transfer learning across multiple tasks. Finally, we analyze the running time and the number of traces that ISA needs to learn an automata, and the impact that the number of observable events has on the learner's performance.
Key facts. Cited by 17 papers in the map (data through 14 Oct 2026). First posted on arXiv 29 Nov 2019.
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Citing papers per year: 2021: 2; 2022: 5; 2023: 2; 2024: 4; 2025: 3; 2026: 1.
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- 2021Learning Reward Machines: A Study in Partially Observable Reinforcement Learningcited by 16
- 2022Joint Learning of Reward Machines and Policies in Environments with Partially Known Semanticscited by 12
- 2024Reward Machines for Deep RL in Noisy and Uncertain Environmentscited by 11
- 2022Noisy Symbolic Abstractions for Deep RL: A case study with Reward Machinescited by 10
- 2022Automata Learning meets Shieldingcited by 9
- 2021Decentralized Graph-Based Multi-Agent Reinforcement Learning Using Reward Machinescited by 7
- 2022Learning Task Automata for Reinforcement Learning using Hidden Markov Modelscited by 7
- 2024Learning Robust Reward Machines from Noisy Labelscited by 7
- 2025Reinforcement Learning with Stochastic Reward Machinescited by 7
- 2023Reinforcement Learning with Knowledge Representation and Reasoning: A Brief Surveycited by 5
- 2022Reinforcement Learning under Partial Observability Guided by Learned Environment Modelscited by 4
- 2024Multi-Agent Reinforcement Learning with a Hierarchy of Reward Machinescited by 3
5 more
- 2025Learning Reward Machines from Partially Observed Policiescited by 3
- 2023Learning Environment Models with Continuous Stochastic Dynamicscited by 0
- 2024Sample Efficient Reinforcement Learning by Automatically Learning to Compose Subtaskscited by 0
- 2025Physics-Informed Reward Machinescited by 0
- 2026Active Reward Machine Inference From Raw State Trajectoriescited by 0
- 2026Active Reward Machine Inference From Raw State Trajectories8 Apr 2026
- 2025Reinforcement Learning with Stochastic Reward Machines16 Oct 2025
- 2025Physics-Informed Reward Machines14 Aug 2025
- 2025Learning Reward Machines from Partially Observed Policies6 Feb 2025
- 2024Learning Robust Reward Machines from Noisy Labels27 Aug 2024
- 2024Reward Machines for Deep RL in Noisy and Uncertain Environments31 May 2024
- 2024Multi-Agent Reinforcement Learning with a Hierarchy of Reward Machines8 Mar 2024
- 2024Sample Efficient Reinforcement Learning by Automatically Learning to Compose Subtasks25 Jan 2024
- 2023Learning Environment Models with Continuous Stochastic Dynamics29 Jun 2023
- 2023Reinforcement Learning with Knowledge Representation and Reasoning: A Brief Survey24 Apr 2023
- 2022Automata Learning meets Shielding4 Dec 2022
- 2022Noisy Symbolic Abstractions for Deep RL: A case study with Reward Machines20 Nov 2022
5 more
- 2022Learning Task Automata for Reinforcement Learning using Hidden Markov Models25 Aug 2022
- 2022Reinforcement Learning under Partial Observability Guided by Learned Environment Models23 Jun 2022
- 2022Joint Learning of Reward Machines and Policies in Environments with Partially Known Semantics20 Apr 2022
- 2021Learning Reward Machines: A Study in Partially Observable Reinforcement Learning17 Dec 2021
- 2021Decentralized Graph-Based Multi-Agent Reinforcement Learning Using Reward Machines30 Sep 2021
- 2024Reward Machines for Deep RL in Noisy and Uncertain Environmentscited by 11
- 2024Learning Robust Reward Machines from Noisy Labelscited by 7
- 2025Reinforcement Learning with Stochastic Reward Machinescited by 7
- 2024Sample Efficient Reinforcement Learning by Automatically Learning to Compose Subtaskscited by 0
- 2025Physics-Informed Reward Machinescited by 0
- 2025Reinforcement Learning with Stochastic Reward Machines16 Oct 2025
- 2025Physics-Informed Reward Machines14 Aug 2025
- 2024Learning Robust Reward Machines from Noisy Labels27 Aug 2024
- 2024Reward Machines for Deep RL in Noisy and Uncertain Environments31 May 2024
- 2024Sample Efficient Reinforcement Learning by Automatically Learning to Compose Subtasks25 Jan 2024
- 2021Learning Reward Machines: A Study in Partially Observable Reinforcement Learningcited by 16
- 2022Joint Learning of Reward Machines and Policies in Environments with Partially Known Semanticscited by 12
- 2022Noisy Symbolic Abstractions for Deep RL: A case study with Reward Machinescited by 10
- 2022Automata Learning meets Shieldingcited by 9
- 2021Decentralized Graph-Based Multi-Agent Reinforcement Learning Using Reward Machinescited by 7
- 2022Learning Task Automata for Reinforcement Learning using Hidden Markov Modelscited by 7
- 2023Reinforcement Learning with Knowledge Representation and Reasoning: A Brief Surveycited by 5
- 2022Reinforcement Learning under Partial Observability Guided by Learned Environment Modelscited by 4
- 2024Multi-Agent Reinforcement Learning with a Hierarchy of Reward Machinescited by 3
- 2023Learning Environment Models with Continuous Stochastic Dynamicscited by 0
- 2026Active Reward Machine Inference From Raw State Trajectoriescited by 0
- 2026Active Reward Machine Inference From Raw State Trajectories8 Apr 2026
- 2024Multi-Agent Reinforcement Learning with a Hierarchy of Reward Machines8 Mar 2024
- 2023Learning Environment Models with Continuous Stochastic Dynamics29 Jun 2023
- 2023Reinforcement Learning with Knowledge Representation and Reasoning: A Brief Survey24 Apr 2023
- 2022Automata Learning meets Shielding4 Dec 2022
- 2022Noisy Symbolic Abstractions for Deep RL: A case study with Reward Machines20 Nov 2022
- 2022Learning Task Automata for Reinforcement Learning using Hidden Markov Models25 Aug 2022
- 2022Reinforcement Learning under Partial Observability Guided by Learned Environment Models23 Jun 2022
- 2022Joint Learning of Reward Machines and Policies in Environments with Partially Known Semantics20 Apr 2022
- 2021Learning Reward Machines: A Study in Partially Observable Reinforcement Learning17 Dec 2021
- 2021Decentralized Graph-Based Multi-Agent Reinforcement Learning Using Reward Machines30 Sep 2021