mlsanityData to 7 Oct 2026

Ensemble Quantile Networks: Uncertainty-Aware Reinforcement Learning with Applications in Autonomous Driving

arXiv 2105.10266 ↗First posted 21 May 2021cs.RO cs.AI cs.LGcited by 17

On the map: End-to-end autonomous driving → Reinforcement learning for driving

Abstract (arXiv)

Reinforcement learning (RL) can be used to create a decision-making agent for autonomous driving. However, previous approaches provide only black-box solutions, which do not offer information on how confident the agent is about its decisions. An estimate of both the aleatoric and epistemic uncertainty of the agent's decisions is fundamental for real-world applications of autonomous driving. Therefore, this paper introduces the Ensemble Quantile Networks (EQN) method, which combines distributional RL with an ensemble approach, to obtain a complete uncertainty estimate. The distribution over returns is estimated by learning its quantile function implicitly, which gives the aleatoric uncertainty, whereas an ensemble of agents is trained on bootstrapped data to provide a Bayesian estimation of the epistemic uncertainty. A criterion for classifying which decisions that have an unacceptable uncertainty is also introduced. The results show that the EQN method can balance risk and time efficiency in different occluded intersection scenarios, by considering the estimated aleatoric uncertainty. Furthermore, it is shown that the trained agent can use the epistemic uncertainty information to identify situations that the agent has not been trained for and thereby avoid making unfounded, potentially dangerous, decisions outside of the training distribution.

Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). Placed in Reinforcement learning for driving, one of 9 directions in End-to-end autonomous driving. Builds on 27 of its 47 references that are in the map. First posted on arXiv 21 May 2021.

Builds on

27 of 47 references.

Closest ancestors · 2

Same direction, newest first

  1. 2021Addressing Inherent Uncertainty: Risk-Sensitive Behavior Generation for Automated Driving using Distributional Reinforcement Learning5 Feb
  2. 2021A Survey of Deep RL and IL for Autonomous Driving Policy Learning6 Jan

Other references · 25

  1. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  2. 2015Deep Reinforcement Learning with Double Q-learningcited by 1,704
  3. 2019Aleatoric and Epistemic Uncertainty in Machine Learning: An Introduction to Concepts and Methodscited by 903
  4. 2015Dueling Network Architectures for Deep Reinforcement Learningcited by 769
  5. 2017A Distributional Perspective on Reinforcement Learningcited by 743
  6. 2020Deep Reinforcement Learning for Autonomous Driving: A Surveycited by 698
  7. 2016Deep Exploration via Bootstrapped DQNcited by 518
  8. 2017Distributional Reinforcement Learning with Quantile Regressioncited by 464
  9. 2018ChauffeurNet: Learning to Drive by Imitating the Best and Synthesizing the Worstcited by 391
  10. 2018Implicit Quantile Networks for Distributional Reinforcement Learningcited by 362
  11. 2016Safe, Multi-Agent, Reinforcement Learning for Autonomous Drivingcited by 301
  12. 2018Learning to Drive in a Daycited by 266
13 more
  1. 2015Bayesian SegNet: Model Uncertainty in Deep Convolutional Encoder-Decoder Architectures for Scene Understandingcited by 218
  2. 2018Randomized Prior Functions for Deep Reinforcement Learningcited by 218
  3. 2018Distributed Distributional Deterministic Policy Gradientscited by 195
  4. 2014Algorithms for CVaR Optimization in MDPscited by 98
  5. 2017Virtual to Real Reinforcement Learning for Autonomous Drivingcited by 79
  6. 2017How Should a Robot Assess Risk? Towards an Axiomatic Theory of Risk in Roboticscited by 57
  7. 2018Evaluating Uncertainty Quantification in End-to-End Autonomous Driving Controlcited by 54
  8. 2019Combining Planning and Deep Reinforcement Learning in Tactical Decision Making for Autonomous Drivingcited by 52
  9. 2018Automated Speed and Lane Change Decision Making using Deep Reinforcement Learningcited by 36
  10. 2017Navigating Occluded Intersections with Autonomous Vehicles using Deep Reinforcement Learningcited by 21
  11. 2020Reinforcement Learning with Uncertainty Estimation for Tactical Decision-Making in Intersectionscited by 15
  12. 2020Tactical Decision-Making in Autonomous Driving by Reinforcement Learning with Uncertainty Estimationcited by 14
  13. 2018Learning Negotiating Behavior Between Cars in Intersections using Deep Q-Learningcited by 13

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2023: 3; 2024: 4; 2025: 5; 2026: 5.

17 papers.

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  1. 2025A Unified Evaluation Framework for Epistemic Predictionscited by 10
  2. 2023Decision Making for Human-in-the-loop Robotic Agents via Uncertainty-Aware Reinforcement Learningcited by 9
  3. 2023Diverse Projection Ensembles for Distributional Reinforcement Learningcited by 8
  4. 2024Safe and Robust Reinforcement Learning: Principles and Practicecited by 4
  5. 2024Learning Ensembles of Vision-based Safety Control Filterscited by 2
  6. 2025A Survey of Reinforcement Learning-Based Motion Planning for Autonomous Driving: Lessons Learned from a Driving Task Perspectivecited by 2
  7. 2023uSF: Learning Neural Semantic Field with Uncertaintycited by 1
  8. 2025Uncertainty-Aware Safety-Critical Decision and Control for Autonomous Vehicles at Unsignalized Intersectionscited by 1
  9. 2025Universal Value-Function Uncertaintiescited by 1
  10. 2024Generalized Gaussian Temporal Difference Error for Uncertainty-aware Reinforcement Learningcited by 0
  11. 2024Uncertainty separation via ensemble quantile regressioncited by 0
  12. 2025Game-Theoretic Risk-Shaped Reinforcement Learning for Safe Autonomous Drivingcited by 0
5 more
  1. 2026Identifying Influential N-grams in Confidence Calibration via Regression Analysiscited by 0
  2. 2026Multimodal Learning on Low-Quality Data with Conformal Predictive Self-Calibrationcited by 0
  3. 2026Uncertainty-Aware and Temporally Regulated Expert Advice in Reinforcement Learning for Autonomous Drivingcited by 0
  4. 2026Auditing the Risk Claims of Distributional Reinforcement Learningcited by 0
  5. 2026A Risk-Sensitive and Uncertainty-Aware Decision-Making and Control Framework for Safe and Robust Autonomous Drivingcited by 0

Similar, not cited

Close in wording, no citation either way

  1. 2026Epistemic Robust Offline Reinforcement Learning
  2. 2023Identify, Estimate and Bound the Uncertainty of Reinforcement Learning for Autonomous Driving
  3. 2021Uncertainty-Aware Model-Based Reinforcement Learning with Application to Autonomous Driving
  4. 2026Beyond Scalar Rewards: Distributional Reinforcement Learning with Preordered Objectives for Safe and Reliable Autonomous Driving
  5. 2023Environment Transformer and Policy Optimization for Model-Based Offline Reinforcement Learning
  6. 2022Why So Pessimistic? Estimating Uncertainties for Offline RL through Ensembles, and Why Their Independence Matters
  7. 2018Deep Reinforcement Learning in a Handful of Trials using Probabilistic Dynamics Models
  8. 2021Uncertainty-Based Offline Reinforcement Learning with Diversified Q-Ensemble