Distributional Reinforcement Learning for Efficient Exploration
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Abstract (arXiv)
In distributional reinforcement learning (RL), the estimated distribution of value function models both the parametric and intrinsic uncertainties. We propose a novel and efficient exploration method for deep RL that has two components. The first is a decaying schedule to suppress the intrinsic uncertainty. The second is an exploration bonus calculated from the upper quantiles of the learned distribution. In Atari 2600 games, our method outperforms QR-DQN in 12 out of 14 hard games (achieving 483 % average gain across 49 games in cumulative rewards over QR-DQN with a big win in Venture). We also compared our algorithm with QR-DQN in a challenging 3D driving simulator (CARLA). Results show that our algorithm achieves near-optimal safety rewards twice faster than QRDQN.
Key facts. Cited by 59 papers in the map (data through 7 Oct 2026). First posted on arXiv 13 May 2019.
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Citing papers per year: 2021: 11; 2022: 12; 2023: 16; 2024: 5; 2025: 8; 2026: 7.
59 papers.
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- 2022Pessimistic Bootstrapping for Uncertainty-Driven Offline Reinforcement Learningcited by 125
- 2021Exploration in Deep Reinforcement Learning: From Single-Agent to Multiagent Domaincited by 57
- 2021Exponential Bellman Equation and Improved Regret Bounds for Risk-Sensitive Reinforcement Learningcited by 42
- 2023On the Importance of Exploration for Generalization in Reinforcement Learningcited by 30
- 2021DFAC Framework: Factorizing the Value Function via Quantile Mixture for Multi-Agent Distributional Q-Learningcited by 26
- 2023Distributional Soft Actor-Critic with Three Refinementscited by 22
- 2021On the Convergence and Optimality of Policy Gradient for Markov Coherent Riskcited by 19
- 2021Non-decreasing Quantile Function Network with Efficient Exploration for Distributional Reinforcement Learningcited by 15
- 2021GMAC: A Distributional Perspective on Actor-Critic Frameworkcited by 15
- 2022Conformal Off-policy Predictioncited by 14
- 2022The Sufficiency of Off-Policyness and Soft Clipping: PPO is still Insufficient according to an Off-Policy Measurecited by 12
- 2023Learning Risk-Aware Quadrupedal Locomotion using Distributional Reinforcement Learningcited by 12
38 more
- 2025Risk-Sensitive RL for Alleviating Exploration Dilemmas in Large Language Modelscited by 12
- 2025Value Flowscited by 12
- 2021Exploring the Training Robustness of Distributional Reinforcement Learning against Noisy State Observationscited by 11
- 2022Distributional Hamilton-Jacobi-Bellman Equations for Continuous-Time Reinforcement Learningcited by 9
- 2022Quantile Constrained Reinforcement Learning: A Reinforcement Learning Framework Constraining Outage Probabilitycited by 9
- 2022Distributional Reinforcement Learning with Regularized Wasserstein Losscited by 8
- 2023Diverse Projection Ensembles for Distributional Reinforcement Learningcited by 8
- 2021Damped Anderson Mixing for Deep Reinforcement Learning: Acceleration, Convergence, and Stabilizationcited by 7
- 2023Quasi-optimal Reinforcement Learning with Continuous Actionscited by 7
- 2023OVD-Explorer: Optimism Should Not Be the Sole Pursuit of Exploration in Noisy Environmentscited by 7
- 2024Pessimistic Value Iteration for Multi-Task Data Sharing in Offline Reinforcement Learningcited by 6
- 2022Adaptive Risk-Tendency: Nano Drone Navigation in Cluttered Environments with Distributional Reinforcement Learningcited by 5
- 2022Risk Perspective Exploration in Distributional Reinforcement Learningcited by 5
- 2023Wasserstein Actor-Critic: Directed Exploration via Optimism for Continuous-Actions Controlcited by 5
- 2024Model-Free Active Exploration in Reinforcement Learningcited by 5
- 2021Intrinsic Benefits of Categorical Distributional Loss: Uncertainty-aware Regularized Exploration in Reinforcement Learningcited by 4
- 2022How Does Return Distribution in Distributional Reinforcement Learning Help Optimization?cited by 4
- 2021Bayesian Distributional Policy Gradientscited by 3
- 2022Distributional Actor-Critic Ensemble for Uncertainty-Aware Continuous Controlcited by 3
- 2023Pitfall of Optimism: Distributional Reinforcement Learning by Randomizing Risk Criterioncited by 3
- 2023PACER: A Fully Push-forward-based Distributional Reinforcement Learning Algorithmcited by 2
- 2023Variance Control for Distributional Reinforcement Learningcited by 2
- 2024A unified uncertainty-aware exploration: Combining epistemic and aleatory uncertaintycited by 2
- 2026LAD: Learning Advantage Distribution for Reasoningcited by 2
- 2021ADER:Adapting between Exploration and Robustness for Actor-Critic Methodscited by 1
- 2022Mean-Semivariance Policy Optimization via Risk-Averse Reinforcement Learningcited by 1
- 2022Normality-Guided Distributional Reinforcement Learning for Continuous Controlcited by 1
- 2023Toward Risk-based Optimistic Exploration for Cooperative Multi-Agent Reinforcement Learningcited by 1
- 2023Distributional Reinforcement Learning with Dual Expectile-Quantile Regressioncited by 1
- 2023A Unified Framework for Factorizing Distributional Value Functions for Multi-Agent Reinforcement Learningcited by 1
- 2023Uncertainty-aware transfer across tasks using hybrid model-based successor feature reinforcement learningcited by 1
- 2024Enhanced Safety in Autonomous Driving: Integrating Latent State Diffusion Model for End-to-End Navigationcited by 1
- 2024State-Novelty Guided Action Persistence in Deep Reinforcement Learningcited by 1
- 2025Tackling Uncertainties in Multi-Agent Reinforcement Learning through Integration of Agent Termination Dynamicscited by 1
- 2025ADDQ: Adaptive Distributional Double Q-Learningcited by 1
- 2025Stochastic Path Planning in Correlated Obstacle Fieldscited by 1
- 2025LLM Agents Beyond Utility: An Open-Ended Perspectivecited by 1
- 2026Uncertainty-Aware Rank-One MIMO Q Network Framework for Accelerated Offline Reinforcement Learningcited by 1
50 most cited of 59 All 59 (JSON)
- 2026OrderGrad: Optimizing Beyond the Mean with Order-Statistic Policy Gradient Estimation4 Jun 2026
- 2026Learning What Matters: Adaptive Information-Theoretic Objectives for Robot Exploration12 May 2026
- 2026Quantile-Coupled Flow Matching for Distributional Reinforcement Learning8 May 2026
- 2026LAD: Learning Advantage Distribution for Reasoning23 Feb 2026
- 2026Uncertainty-Aware Rank-One MIMO Q Network Framework for Accelerated Offline Reinforcement Learning23 Feb 2026
- 2026Risk-Sensitive Exponential Actor Critic6 Feb 2026
- 2026Distributional Active Inference28 Jan 2026
- 2025LLM Agents Beyond Utility: An Open-Ended Perspective16 Oct 2025
- 2025Value Flows9 Oct 2025
- 2025Risk-Sensitive RL for Alleviating Exploration Dilemmas in Large Language Models29 Sep 2025
- 2025Stochastic Path Planning in Correlated Obstacle Fields23 Sep 2025
- 2025ADDQ: Adaptive Distributional Double Q-Learning24 Jun 2025
38 more
- 2025Optimal Transport-Guided Safety in Temporal Difference Reinforcement Learning22 Feb 2025
- 2025Optimistic ε-Greedy Exploration for Cooperative Multi-Agent Reinforcement Learning5 Feb 2025
- 2025Tackling Uncertainties in Multi-Agent Reinforcement Learning through Integration of Agent Termination Dynamics21 Jan 2025
- 2024State-Novelty Guided Action Persistence in Deep Reinforcement Learning9 Sep 2024
- 2024Enhanced Safety in Autonomous Driving: Integrating Latent State Diffusion Model for End-to-End Navigation8 Jul 2024
- 2024Model-Free Active Exploration in Reinforcement Learning30 Jun 2024
- 2024Pessimistic Value Iteration for Multi-Task Data Sharing in Offline Reinforcement Learning30 Apr 2024
- 2024A unified uncertainty-aware exploration: Combining epistemic and aleatory uncertainty5 Jan 2024
- 2023OVD-Explorer: Optimism Should Not Be the Sole Pursuit of Exploration in Noisy Environments19 Dec 2023
- 2023Pitfall of Optimism: Distributional Reinforcement Learning by Randomizing Risk Criterion25 Oct 2023
- 2023Uncertainty-aware transfer across tasks using hybrid model-based successor feature reinforcement learning16 Oct 2023
- 2023Distributional Soft Actor-Critic with Three Refinements9 Oct 2023
- 2023DRL-ORA: Distributional Reinforcement Learning with Online Risk Adaption8 Oct 2023
- 2023Learning Risk-Aware Quadrupedal Locomotion using Distributional Reinforcement Learning25 Sep 2023
- 2023Bag of Policies for Distributional Deep Exploration3 Aug 2023
- 2023Variance Control for Distributional Reinforcement Learning30 Jul 2023
- 2023Diverse Projection Ensembles for Distributional Reinforcement Learning12 Jun 2023
- 2023PACER: A Fully Push-forward-based Distributional Reinforcement Learning Algorithm11 Jun 2023
- 2023On the Importance of Exploration for Generalization in Reinforcement Learning8 Jun 2023
- 2023A Unified Framework for Factorizing Distributional Value Functions for Multi-Agent Reinforcement Learning4 Jun 2023
- 2023Distributional Reinforcement Learning with Dual Expectile-Quantile Regression26 May 2023
- 2023Wasserstein Actor-Critic: Directed Exploration via Optimism for Continuous-Actions Control4 Mar 2023
- 2023Toward Risk-based Optimistic Exploration for Cooperative Multi-Agent Reinforcement Learning3 Mar 2023
- 2023Quasi-optimal Reinforcement Learning with Continuous Actions21 Jan 2023
- 2022Quantile Constrained Reinforcement Learning: A Reinforcement Learning Framework Constraining Outage Probability28 Nov 2022
- 2022How Does Return Distribution in Distributional Reinforcement Learning Help Optimization?29 Sep 2022
- 2022Normality-Guided Distributional Reinforcement Learning for Continuous Control28 Aug 2022
- 2022Distributional Actor-Critic Ensemble for Uncertainty-Aware Continuous Control27 Jul 2022
- 2022Risk Perspective Exploration in Distributional Reinforcement Learning28 Jun 2022
- 2022Mean-Semivariance Policy Optimization via Risk-Averse Reinforcement Learning15 Jun 2022
- 2022Conformal Off-policy Prediction14 Jun 2022
- 2022Distributional Hamilton-Jacobi-Bellman Equations for Continuous-Time Reinforcement Learning24 May 2022
- 2022The Sufficiency of Off-Policyness and Soft Clipping: PPO is still Insufficient according to an Off-Policy Measure20 May 2022
- 2022Adaptive Risk-Tendency: Nano Drone Navigation in Cluttered Environments with Distributional Reinforcement Learning28 Mar 2022
- 2022Pessimistic Bootstrapping for Uncertainty-Driven Offline Reinforcement Learning23 Feb 2022
- 2022Distributional Reinforcement Learning with Regularized Wasserstein Loss1 Feb 2022
- 2021Exponential Bellman Equation and Improved Regret Bounds for Risk-Sensitive Reinforcement Learning6 Nov 2021
- 2021Damped Anderson Mixing for Deep Reinforcement Learning: Acceleration, Convergence, and Stabilization17 Oct 2021
50 newest of 59 All 59 (JSON)
- 2022Pessimistic Bootstrapping for Uncertainty-Driven Offline Reinforcement Learningcited by 125
- 2024Pessimistic Value Iteration for Multi-Task Data Sharing in Offline Reinforcement Learningcited by 6
- 2026Uncertainty-Aware Rank-One MIMO Q Network Framework for Accelerated Offline Reinforcement Learningcited by 1
- 2026Uncertainty-Aware Rank-One MIMO Q Network Framework for Accelerated Offline Reinforcement Learning23 Feb 2026
- 2024Pessimistic Value Iteration for Multi-Task Data Sharing in Offline Reinforcement Learning30 Apr 2024
- 2022Pessimistic Bootstrapping for Uncertainty-Driven Offline Reinforcement Learning23 Feb 2022
- 2021Exploration in Deep Reinforcement Learning: From Single-Agent to Multiagent Domaincited by 57
- 2021Exponential Bellman Equation and Improved Regret Bounds for Risk-Sensitive Reinforcement Learningcited by 42
- 2023On the Importance of Exploration for Generalization in Reinforcement Learningcited by 30
- 2021DFAC Framework: Factorizing the Value Function via Quantile Mixture for Multi-Agent Distributional Q-Learningcited by 26
- 2023Distributional Soft Actor-Critic with Three Refinementscited by 22
- 2021On the Convergence and Optimality of Policy Gradient for Markov Coherent Riskcited by 19
- 2021Non-decreasing Quantile Function Network with Efficient Exploration for Distributional Reinforcement Learningcited by 15
- 2021GMAC: A Distributional Perspective on Actor-Critic Frameworkcited by 15
- 2022Conformal Off-policy Predictioncited by 14
- 2022The Sufficiency of Off-Policyness and Soft Clipping: PPO is still Insufficient according to an Off-Policy Measurecited by 12
- 2023Learning Risk-Aware Quadrupedal Locomotion using Distributional Reinforcement Learningcited by 12
- 2025Value Flowscited by 12
12 most cited of 51 All 51 (JSON)
- 2026OrderGrad: Optimizing Beyond the Mean with Order-Statistic Policy Gradient Estimation4 Jun 2026
- 2026Learning What Matters: Adaptive Information-Theoretic Objectives for Robot Exploration12 May 2026
- 2026Risk-Sensitive Exponential Actor Critic6 Feb 2026
- 2026Distributional Active Inference28 Jan 2026
- 2025Value Flows9 Oct 2025
- 2025Stochastic Path Planning in Correlated Obstacle Fields23 Sep 2025
- 2025ADDQ: Adaptive Distributional Double Q-Learning24 Jun 2025
- 2025Optimal Transport-Guided Safety in Temporal Difference Reinforcement Learning22 Feb 2025
- 2025Optimistic ε-Greedy Exploration for Cooperative Multi-Agent Reinforcement Learning5 Feb 2025
- 2025Tackling Uncertainties in Multi-Agent Reinforcement Learning through Integration of Agent Termination Dynamics21 Jan 2025
- 2024State-Novelty Guided Action Persistence in Deep Reinforcement Learning9 Sep 2024
- 2024Model-Free Active Exploration in Reinforcement Learning30 Jun 2024
12 newest of 51 All 51 (JSON)