Interpretable Policies for Reinforcement Learning by Genetic Programming
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Abstract (arXiv)
The search for interpretable reinforcement learning policies is of high academic and industrial interest. Especially for industrial systems, domain experts are more likely to deploy autonomously learned controllers if they are understandable and convenient to evaluate. Basic algebraic equations are supposed to meet these requirements, as long as they are restricted to an adequate complexity. Here we introduce the genetic programming for reinforcement learning (GPRL) approach based on model-based batch reinforcement learning and genetic programming, which autonomously learns policy equations from pre-existing default state-action trajectory samples. GPRL is compared to a straight-forward method which utilizes genetic programming for symbolic regression, yielding policies imitating an existing well-performing, but non-interpretable policy. Experiments on three reinforcement learning benchmarks, i.e., mountain car, cart-pole balancing, and industrial benchmark, demonstrate the superiority of our GPRL approach compared to the symbolic regression method. GPRL is capable of producing well-performing interpretable reinforcement learning policies from pre-existing default trajectory data.
Key facts. Cited by 47 papers in the map (data through 7 Oct 2026). First posted on arXiv 12 Dec 2017.
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Citing papers per year: 2020: 1; 2021: 6; 2022: 12; 2023: 8; 2024: 8; 2025: 10; 2026: 2.
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- 2021A Survey on Interpretable Reinforcement Learningcited by 70
- 2022Symbolic Regression is NP-hardcited by 68
- 2022SymFormer: End-to-end symbolic regression using transformer-based architecturecited by 56
- 2020Overcoming Model Bias for Robust Offline Deep Reinforcement Learningcited by 42
- 2021Iterative Bounding MDPs: Learning Interpretable Policies via Non-Interpretable Methodscited by 31
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- 2023Evolutionary Reinforcement Learning: A Surveycited by 24
- 2024Bridging Evolutionary Algorithms and Reinforcement Learning: A Comprehensive Survey on Hybrid Algorithmscited by 23
- 2022User-Interactive Offline Reinforcement Learningcited by 11
- 2022ERL-Re2: Efficient Evolutionary Reinforcement Learning with Shared State Representation and Individual Policy Representationcited by 11
- 2021Model Learning with Personalized Interpretability Estimation (ML-PIE)cited by 9
35 more
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- 2025Multimodal LLM-assisted Evolutionary Search for Programmatic Control Policiescited by 8
- 2021Feature-Based Interpretable Reinforcement Learning based on State-Transition Modelscited by 6
- 2025Translate Policy to Language: Flow Matching Generated Rewards for LLM Explanationscited by 6
- 2025Decision Tree Induction Through LLMs via Semantically-Aware Evolutioncited by 6
- 2022Evaluating Human-like Explanations for Robot Actions in Reinforcement Learning Scenarioscited by 5
- 2023Reinforcement Learning with Knowledge Representation and Reasoning: A Brief Surveycited by 5
- 2024Discovering Multiple Solutions from a Single Task in Offline Reinforcement Learningcited by 4
- 2022A Survey on Explainable Reinforcement Learning: Concepts, Algorithms, Challengescited by 3
- 2023S-REINFORCE: A Neuro-Symbolic Policy Gradient Approach for Interpretable Reinforcement Learningcited by 3
- 2024SkillTree: Explainable Skill-Based Deep Reinforcement Learning for Long-Horizon Control Taskscited by 3
- 2025Enabling Population-Level Parallelism in Tree-Based Genetic Programming for GPU Accelerationcited by 3
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- 2022A Reinforcement Learning Approach to Domain-Knowledge Inclusion Using Grammar Guided Symbolic Regressioncited by 2
- 2023Designing Novel Cognitive Diagnosis Models via Evolutionary Multi-Objective Neural Architecture Searchcited by 2
- 2024XRL-Bench: A Benchmark for Evaluating and Comparing Explainable Reinforcement Learning Techniquescited by 2
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- 2021Trustworthy AI for Process Automation on a Chylla-Haase Polymerization Reactorcited by 1
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- 2025Inducing, Detecting and Characterising Neural Modules: A Pipeline for Functional Interpretability in Reinforcement Learningcited by 1
- 2025Interpret Policies in Deep Reinforcement Learning using SILVER with RL-Guided Labeling: A Model-level Approach to High-dimensional and Multi-action Environmentscited by 1
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- 2026DeepPySR -- A Symbolic Regression Framework with Dynamic Pruning, Pareto Selection, and Hierarchical Composition for Real-World Scientific Discovery9 Jul 2026
- 2026ORCAID: Oblique Rule-Based Continuous-Action Interpretation for Deep RL Policies8 Jul 2026
- 2025SHAP-Guided Kernel Actor-Critic for Explainable Reinforcement Learning4 Dec 2025
- 2025Interpret Policies in Deep Reinforcement Learning using SILVER with RL-Guided Labeling: A Model-level Approach to High-dimensional and Multi-action Environments22 Oct 2025
- 2025Multimodal LLM-assisted Evolutionary Search for Programmatic Control Policies7 Aug 2025
- 2025Strategically Linked Decisions in Long-Term Planning and Reinforcement Learning22 May 2025
- 2025Decision Tree Induction Through LLMs via Semantically-Aware Evolution18 Mar 2025
- 2025SALSA-RL: Stability Analysis in the Latent Space of Actions for Reinforcement Learning21 Feb 2025
- 2025Translate Policy to Language: Flow Matching Generated Rewards for LLM Explanations18 Feb 2025
- 2025Kozax: Flexible and Scalable Genetic Programming in JAX5 Feb 2025
- 2025Inducing, Detecting and Characterising Neural Modules: A Pipeline for Functional Interpretability in Reinforcement Learning28 Jan 2025
- 2025Enabling Population-Level Parallelism in Tree-Based Genetic Programming for GPU Acceleration21 Jan 2025
35 more
- 2024SkillTree: Explainable Skill-Based Deep Reinforcement Learning for Long-Horizon Control Tasks19 Nov 2024
- 2024Human-Readable Programs as Actors of Reinforcement Learning Agents Using Critic-Moderated Evolution29 Oct 2024
- 2024Unveiling the Decision-Making Process in Reinforcement Learning with Genetic Programming20 Jul 2024
- 2024Evolutionary Computation and Explainable AI: A Roadmap to Understandable Intelligent Systems12 Jun 2024
- 2024Discovering Multiple Solutions from a Single Task in Offline Reinforcement Learning10 Jun 2024
- 2024Discovering Continuous-Time Memory-Based Symbolic Policies using Genetic Programming4 Jun 2024
- 2024XRL-Bench: A Benchmark for Evaluating and Comparing Explainable Reinforcement Learning Techniques20 Feb 2024
- 2024Bridging Evolutionary Algorithms and Reinforcement Learning: A Comprehensive Survey on Hybrid Algorithms22 Jan 2024
- 2023Efficient Symbolic Policy Learning with Differentiable Symbolic Expression2 Nov 2023
- 2023Accountability in Offline Reinforcement Learning: Explaining Decisions with a Corpus of Examples11 Oct 2023
- 2023Discovering Local Binary Pattern Equation for Foreground Object Removal in Videos11 Aug 2023
- 2023Worrisome Properties of Neural Network Controllers and Their Symbolic Representations28 Jul 2023
- 2023Designing Novel Cognitive Diagnosis Models via Evolutionary Multi-Objective Neural Architecture Search10 Jul 2023
- 2023S-REINFORCE: A Neuro-Symbolic Policy Gradient Approach for Interpretable Reinforcement Learning12 May 2023
- 2023Reinforcement Learning with Knowledge Representation and Reasoning: A Brief Survey24 Apr 2023
- 2023Evolutionary Reinforcement Learning: A Survey7 Mar 2023
- 2022Introspection-based Explainable Reinforcement Learning in Episodic and Non-episodic Scenarios23 Nov 2022
- 2022A Survey on Explainable Reinforcement Learning: Concepts, Algorithms, Challenges12 Nov 2022
- 2022ERL-Re2: Efficient Evolutionary Reinforcement Learning with Shared State Representation and Individual Policy Representation26 Oct 2022
- 2022Evaluating Human-like Explanations for Robot Actions in Reinforcement Learning Scenarios7 Jul 2022
- 2022Symbolic Regression is NP-hard3 Jul 2022
- 2022SymFormer: End-to-end symbolic regression using transformer-based architecture31 May 2022
- 2022User-Interactive Offline Reinforcement Learning21 May 2022
- 2022A cGAN Ensemble-based Uncertainty-aware Surrogate Model for Offline Model-based Optimization in Industrial Control Problems15 May 2022
- 2022A Survey of Explainable Reinforcement Learning17 Feb 2022
- 2022A Reinforcement Learning Approach to Domain-Knowledge Inclusion Using Grammar Guided Symbolic Regression9 Feb 2022
- 2022Programmatic Policy Extraction by Iterative Local Search18 Jan 2022
- 2022Comparing Model-free and Model-based Algorithms for Offline Reinforcement Learning14 Jan 2022
- 2021A Survey on Interpretable Reinforcement Learning24 Dec 2021
- 2021Trustworthy AI for Process Automation on a Chylla-Haase Polymerization Reactor30 Aug 2021
- 2021Explainable Reinforcement Learning for Broad-XAI: A Conceptual Framework and Survey20 Aug 2021
- 2021Feature-Based Interpretable Reinforcement Learning based on State-Transition Models14 May 2021
- 2021Model Learning with Personalized Interpretability Estimation (ML-PIE)13 Apr 2021
- 2021Iterative Bounding MDPs: Learning Interpretable Policies via Non-Interpretable Methods25 Feb 2021
- 2020Overcoming Model Bias for Robust Offline Deep Reinforcement Learning12 Aug 2020
- 2020Overcoming Model Bias for Robust Offline Deep Reinforcement Learningcited by 42
- 2022User-Interactive Offline Reinforcement Learningcited by 11
- 2022Comparing Model-free and Model-based Algorithms for Offline Reinforcement Learningcited by 9
- 2023Accountability in Offline Reinforcement Learning: Explaining Decisions with a Corpus of Examplescited by 9
- 2024Discovering Multiple Solutions from a Single Task in Offline Reinforcement Learningcited by 4
- 2024Discovering Multiple Solutions from a Single Task in Offline Reinforcement Learning10 Jun 2024
- 2023Accountability in Offline Reinforcement Learning: Explaining Decisions with a Corpus of Examples11 Oct 2023
- 2022User-Interactive Offline Reinforcement Learning21 May 2022
- 2022Comparing Model-free and Model-based Algorithms for Offline Reinforcement Learning14 Jan 2022
- 2020Overcoming Model Bias for Robust Offline Deep Reinforcement Learning12 Aug 2020
- 2021A Survey on Interpretable Reinforcement Learningcited by 70
- 2022Symbolic Regression is NP-hardcited by 68
- 2022SymFormer: End-to-end symbolic regression using transformer-based architecturecited by 56
- 2021Iterative Bounding MDPs: Learning Interpretable Policies via Non-Interpretable Methodscited by 31
- 2022A Survey of Explainable Reinforcement Learningcited by 31
- 2021Explainable Reinforcement Learning for Broad-XAI: A Conceptual Framework and Surveycited by 24
- 2023Evolutionary Reinforcement Learning: A Surveycited by 24
- 2024Bridging Evolutionary Algorithms and Reinforcement Learning: A Comprehensive Survey on Hybrid Algorithmscited by 23
- 2022ERL-Re2: Efficient Evolutionary Reinforcement Learning with Shared State Representation and Individual Policy Representationcited by 11
- 2021Model Learning with Personalized Interpretability Estimation (ML-PIE)cited by 9
- 2023Efficient Symbolic Policy Learning with Differentiable Symbolic Expressioncited by 9
- 2021Feature-Based Interpretable Reinforcement Learning based on State-Transition Modelscited by 6
12 most cited of 40 All 40 (JSON)
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- 2026ORCAID: Oblique Rule-Based Continuous-Action Interpretation for Deep RL Policies8 Jul 2026
- 2025SHAP-Guided Kernel Actor-Critic for Explainable Reinforcement Learning4 Dec 2025
- 2025Interpret Policies in Deep Reinforcement Learning using SILVER with RL-Guided Labeling: A Model-level Approach to High-dimensional and Multi-action Environments22 Oct 2025
- 2025Strategically Linked Decisions in Long-Term Planning and Reinforcement Learning22 May 2025
- 2025Decision Tree Induction Through LLMs via Semantically-Aware Evolution18 Mar 2025
- 2025SALSA-RL: Stability Analysis in the Latent Space of Actions for Reinforcement Learning21 Feb 2025
- 2025Kozax: Flexible and Scalable Genetic Programming in JAX5 Feb 2025
- 2025Inducing, Detecting and Characterising Neural Modules: A Pipeline for Functional Interpretability in Reinforcement Learning28 Jan 2025
- 2025Enabling Population-Level Parallelism in Tree-Based Genetic Programming for GPU Acceleration21 Jan 2025
- 2024SkillTree: Explainable Skill-Based Deep Reinforcement Learning for Long-Horizon Control Tasks19 Nov 2024
- 2024Human-Readable Programs as Actors of Reinforcement Learning Agents Using Critic-Moderated Evolution29 Oct 2024
12 newest of 40 All 40 (JSON)