Fast active learning for pure exploration in reinforcement learning
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Abstract (arXiv)
Realistic environments often provide agents with very limited feedback. When the environment is initially unknown, the feedback, in the beginning, can be completely absent, and the agents may first choose to devote all their effort on exploring efficiently. The exploration remains a challenge while it has been addressed with many hand-tuned heuristics with different levels of generality on one side, and a few theoretically-backed exploration strategies on the other. Many of them are incarnated by intrinsic motivation and in particular explorations bonuses. A common rule of thumb for exploration bonuses is to use 1/√n bonus that is added to the empirical estimates of the reward, where n is a number of times this particular state (or a state-action pair) was visited. We show that, surprisingly, for a pure-exploration objective of reward-free exploration, bonuses that scale with 1/n bring faster learning rates, improving the known upper bounds with respect to the dependence on the horizon H. Furthermore, we show that with an improved analysis of the stopping time, we can improve by a factor H the sample complexity in the best-policy identification setting, which is another pure-exploration objective, where the environment provides rewards but the agent is not penalized for its behavior during the exploration phase.
Key facts. Cited by 92 papers in the map (data through 7 Oct 2026). First posted on arXiv 27 Jul 2020.
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Citing papers per year: 2021: 13; 2022: 17; 2023: 26; 2024: 15; 2025: 9; 2026: 12.
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- 2022Exploration in Deep Reinforcement Learning: A Surveycited by 158
- 2022BYOL-Explore: Exploration by Bootstrapped Predictioncited by 71
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- 2022Instance-Dependent Near-Optimal Policy Identification in Linear MDPs via Online Experiment Designcited by 33
- 2022Sample-Efficient Reinforcement Learning with loglog(T) Switching Costcited by 32
- 2021Reward-Free Model-Based Reinforcement Learning with Linear Function Approximationcited by 29
- 2023Active learning for data streams: a surveycited by 29
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- 2021Optimal Uniform OPE and Model-based Offline Reinforcement Learning in Time-Homogeneous, Reward-Free and Task-Agnostic Settingscited by 14
- 2023Improved Sample Complexity for Reward-free Reinforcement Learning under Low-rank MDPscited by 14
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50 most cited of 92 All 92 (JSON)
- 2026Optimal Multi-Reward Reinforcement Learning29 Sep 2026
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- 2026Variance Driven Exploration: A Provable and Efficient Methodology for Pure Exploration in Highly Stochastic Environments22 Aug 2026
- 2026Pure Exploration for a Good Policy in Reinforcement Learning with Bandit Feedback22 May 2026
- 2026Breaking the Computational Barrier: Provably Efficient Actor-Critic for Low-Rank MDPs2 May 2026
- 2026A Reward-Free Viewpoint on Multi-Objective Reinforcement Learning27 Apr 2026
- 2026Evaluating GFlowNet from partial episodes for stable and flexible policy-based training1 Mar 2026
- 2026Multi-agent imitation learning with function approximation: Linear Markov games and beyond26 Feb 2026
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- 2026Improved Bounds for Reward-Agnostic and Reward-Free Exploration18 Feb 2026
- 2026The Horizon Threshold in Cooperative Multi-Agent Reward-Free Exploration1 Feb 2026
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- 2025Efficient Preference-Based Reinforcement Learning: Randomized Exploration Meets Experimental Design11 Jun 2025
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- 2024Hybrid Transfer Reinforcement Learning: Provable Sample Efficiency from Shifted-Dynamics Data6 Nov 2024
- 2024Finite-Sample Analysis of the Monte Carlo Exploring Starts Algorithm for Reinforcement Learning3 Oct 2024
- 2024Reactive Multi-Robot Navigation in Outdoor Environments Through Uncertainty-Aware Active Learning of Human Preference Landscape25 Sep 2024
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- 2024Uncertainty-Aware Reward-Free Exploration with General Function Approximation24 Jun 2024
- 2024How does Inverse RL Scale to Large State Spaces? A Provably Efficient Approach6 Jun 2024
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- 2024VDSC: Enhancing Exploration Timing with Value Discrepancy and State Counts26 Mar 2024
- 2024Offline Multitask Representation Learning for Reinforcement Learning18 Mar 2024
- 2024How Can LLM Guide RL? A Value-Based Approach25 Feb 2024
- 2024Is Offline Decision Making Possible with Only Few Samples? Reliable Decisions in Data-Starved Bandits via Trust Region Enhancement24 Feb 2024
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- 2023Towards Instance-Optimality in Online PAC Reinforcement Learning31 Oct 2023
- 2023DrM: Mastering Visual Reinforcement Learning through Dormant Ratio Minimization30 Oct 2023
- 2023Uncertainty-aware transfer across tasks using hybrid model-based successor feature reinforcement learning16 Oct 2023
- 2023Spectral Entry-wise Matrix Estimation for Low-Rank Reinforcement Learning10 Oct 2023
- 2023When is Agnostic Reinforcement Learning Statistically Tractable?9 Oct 2023
- 2023Learning to Make Adherence-Aware Advice1 Oct 2023
- 2023Policy Finetuning in Reinforcement Learning via Design of Experiments using Offline Data10 Jul 2023
- 2023Active Sensing with Predictive Coding and Uncertainty Minimization2 Jul 2023
- 2023Provably Efficient UCB-type Algorithms For Learning Predictive State Representations1 Jul 2023
- 2023Active Coverage for PAC Reinforcement Learning23 Jun 2023
- 2023Provably Efficient Adversarial Imitation Learning with Unknown Transitions11 Jun 2023
- 2023Near-optimal Conservative Exploration in Reinforcement Learning under Episode-wise Constraints9 Jun 2023
50 newest of 92 All 92 (JSON)
- 2023Towards Theoretical Understanding of Inverse Reinforcement Learningcited by 21
- 2023Provably Efficient Adversarial Imitation Learning with Unknown Transitionscited by 16
- 2023Reward-agnostic Fine-tuning: Provable Statistical Benefits of Hybrid Reinforcement Learningcited by 15
- 2021Optimal Uniform OPE and Model-based Offline Reinforcement Learning in Time-Homogeneous, Reward-Free and Task-Agnostic Settingscited by 14
- 2023Minimax-Optimal Reward-Agnostic Exploration in Reinforcement Learningcited by 14
- 2022Understanding Adversarial Imitation Learning in Small Sample Regime: A Stage-coupled Analysiscited by 13
- 2024How does Inverse RL Scale to Large State Spaces? A Provably Efficient Approachcited by 5
- 2025Rate optimal learning of equilibria from datacited by 2
- 2026Multi-agent imitation learning with function approximation: Linear Markov games and beyondcited by 1
- 2026Multi-agent imitation learning with function approximation: Linear Markov games and beyond26 Feb 2026
- 2025Rate optimal learning of equilibria from data10 Oct 2025
- 2024How does Inverse RL Scale to Large State Spaces? A Provably Efficient Approach6 Jun 2024
- 2023Provably Efficient Adversarial Imitation Learning with Unknown Transitions11 Jun 2023
- 2023Reward-agnostic Fine-tuning: Provable Statistical Benefits of Hybrid Reinforcement Learning17 May 2023
- 2023Towards Theoretical Understanding of Inverse Reinforcement Learning25 Apr 2023
- 2023Minimax-Optimal Reward-Agnostic Exploration in Reinforcement Learning14 Apr 2023
- 2022Understanding Adversarial Imitation Learning in Small Sample Regime: A Stage-coupled Analysis3 Aug 2022
- 2021Optimal Uniform OPE and Model-based Offline Reinforcement Learning in Time-Homogeneous, Reward-Free and Task-Agnostic Settings13 May 2021
- 2022Exploration in Deep Reinforcement Learning: A Surveycited by 158
- 2022BYOL-Explore: Exploration by Bootstrapped Predictioncited by 71
- 2024A Survey on Deep Active Learning: Recent Advances and New Frontierscited by 53
- 2022Reward-Free RL is No Harder Than Reward-Aware RL in Linear Markov Decision Processescited by 49
- 2021UCB Momentum Q-learning: Correcting the bias without forgettingcited by 45
- 2023DrM: Mastering Visual Reinforcement Learning through Dormant Ratio Minimizationcited by 45
- 2021Beyond No Regret: Instance-Dependent PAC Reinforcement Learningcited by 41
- 2021MADE: Exploration via Maximizing Deviation from Explored Regionscited by 40
- 2022Instance-Dependent Near-Optimal Policy Identification in Linear MDPs via Online Experiment Designcited by 33
- 2022Sample-Efficient Reinforcement Learning with loglog(T) Switching Costcited by 32
- 2021Reward-Free Model-Based Reinforcement Learning with Linear Function Approximationcited by 29
- 2023Active learning for data streams: a surveycited by 29
12 most cited of 82 All 82 (JSON)
- 2026Optimal Multi-Reward Reinforcement Learning29 Sep 2026
- 2026Provably Safe Sim-to-Real Transfer1 Sep 2026
- 2026Variance Driven Exploration: A Provable and Efficient Methodology for Pure Exploration in Highly Stochastic Environments22 Aug 2026
- 2026Pure Exploration for a Good Policy in Reinforcement Learning with Bandit Feedback22 May 2026
- 2026Breaking the Computational Barrier: Provably Efficient Actor-Critic for Low-Rank MDPs2 May 2026
- 2026A Reward-Free Viewpoint on Multi-Objective Reinforcement Learning27 Apr 2026
- 2026Evaluating GFlowNet from partial episodes for stable and flexible policy-based training1 Mar 2026
- 2026kappa-Explorer: A Unified Framework for Active Model Estimation in MDPs23 Feb 2026
- 2026Improved Bounds for Reward-Agnostic and Reward-Free Exploration18 Feb 2026
- 2026The Horizon Threshold in Cooperative Multi-Agent Reward-Free Exploration1 Feb 2026
- 2026From Relative Entropy to Minimax: A Unified Framework for Coverage in MDPs17 Jan 2026
- 2025SPiDR: A Simple Approach for Zero-Shot Safety in Sim-to-Real Transfer23 Sep 2025
12 newest of 82 All 82 (JSON)