mlsanityData to 7 Oct 2026

Uncertainty Quantification with Statistical Guarantees in End-to-End Autonomous Driving Control

arXiv 1909.09884 ↗First posted 21 Sep 2019cs.LG stat.MLcited by 60

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Abstract (arXiv)

Deep neural network controllers for autonomous driving have recently benefited from significant performance improvements, and have begun deployment in the real world. Prior to their widespread adoption, safety guarantees are needed on the controller behaviour that properly take account of the uncertainty within the model as well as sensor noise. Bayesian neural networks, which assume a prior over the weights, have been shown capable of producing such uncertainty measures, but properties surrounding their safety have not yet been quantified for use in autonomous driving scenarios. In this paper, we develop a framework based on a state-of-the-art simulator for evaluating end-to-end Bayesian controllers. In addition to computing pointwise uncertainty measures that can be computed in real time and with statistical guarantees, we also provide a method for estimating the probability that, given a scenario, the controller keeps the car safe within a finite horizon. We experimentally evaluate the quality of uncertainty computation by several Bayesian inference methods in different scenarios and show how the uncertainty measures can be combined and calibrated for use in collision avoidance. Our results suggest that uncertainty estimates can greatly aid decision making in autonomous driving.

Key facts. Cited by 60 papers in the map (data through 7 Oct 2026). First posted on arXiv 21 Sep 2019.

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 12; 2022: 5; 2023: 15; 2024: 13; 2025: 9; 2026: 6.

60 papers.

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  1. 2021Efficient Deep Reinforcement Learning with Imitative Expert Priors for Autonomous Drivingcited by 46
  2. 2022Improving Trustworthiness of AI Disease Severity Rating in Medical Imaging with Ordinal Conformal Prediction Setscited by 38
  3. 2021Mind the Gap! A Study on the Transferability of Virtual vs Physical-world Testing of Autonomous Driving Systemscited by 36
  4. 2021Dangers of Bayesian Model Averaging under Covariate Shiftcited by 31
  5. 2021Valid prediction intervals for regression problemscited by 28
  6. 2021Deep Ensembles from a Bayesian Perspectivecited by 27
  7. 2021Make Sure You're Unsure: A Framework for Verifying Probabilistic Specificationscited by 18
  8. 2023Hyperbolic Active Learning for Semantic Segmentation under Domain Shiftcited by 18
  9. 2023Learning Sample Difficulty from Pre-trained Models for Reliable Predictioncited by 15
  10. 2025UncAD: Towards Safe End-to-end Autonomous Driving via Online Map Uncertaintycited by 14
  11. 2021The Vulnerability of Semantic Segmentation Networks to Adversarial Attacks in Autonomous Driving: Enhancing Extensive Environment Sensingcited by 12
  12. 2021Infinite Time Horizon Safety of Bayesian Neural Networkscited by 12
38 more
  1. 2022On the Robustness of Bayesian Neural Networks to Adversarial Attackscited by 12
  2. 2023Distributionally Robust Statistical Verification with Imprecise Neural Networkscited by 12
  3. 2024Predicting Safety Misbehaviours in Autonomous Driving Systems using Uncertainty Quantificationcited by 11
  4. 2021Statistical Perspectives on Reliability of Artificial Intelligence Systemscited by 10
  5. 2023Efficient Uncertainty Quantification and Reduction for Over-Parameterized Neural Networkscited by 10
  6. 2023SMARLA: A Safety Monitoring Approach for Deep Reinforcement Learning Agentscited by 9
  7. 2024Explaining Predictive Uncertainty by Exposing Second-Order Effectscited by 9
  8. 2021Certification of Iterative Predictions in Bayesian Neural Networkscited by 8
  9. 2023Clarifying Trust of Materials Property Predictions using Neural Networks with Distribution-Specific Uncertainty Quantificationcited by 8
  10. 2023How Safe Am I Given What I See? Calibrated Prediction of Safety Chances for Image-Controlled Autonomycited by 8
  11. 2023Adversarial Robustness Certification for Bayesian Neural Networkscited by 7
  12. 2024Safety Implications of Explainable Artificial Intelligence in End-to-End Autonomous Drivingcited by 7
  13. 2021Reliability Analysis of Artificial Intelligence Systems Using Recurrent Events Data from Autonomous Vehiclescited by 6
  14. 2023When to Trust AI: Advances and Challenges for Certification of Neural Networkscited by 6
  15. 2022Discrete-Event Controller Synthesis for Autonomous Systems with Deep-Learning Perception Componentscited by 5
  16. 2024Streamlining Prediction in Bayesian Deep Learningcited by 5
  17. 2022Variational Inference of overparameterized Bayesian Neural Networks: a theoretical and empirical studycited by 4
  18. 2023Probabilistic Reach-Avoid for Bayesian Neural Networkscited by 4
  19. 2024Inferring the Langevin Equation with Uncertainty via Bayesian Neural Networkscited by 4
  20. 2025SafePath: Conformal Prediction for Safe LLM-Based Autonomous Navigationcited by 4
  21. 2024Partial-Label Learning with a Reject Optioncited by 3
  22. 2025Mimir: Hierarchical Goal-Driven Diffusion with Uncertainty Propagation for End-to-End Autonomous Drivingcited by 3
  23. 2023Uncertainty Calibration for Counterfactual Propensity Estimation in Recommendationcited by 2
  24. 2024Full-ECE: A Metric For Token-level Calibration on Large Language Modelscited by 2
  25. 2024Achieving Well-Informed Decision-Making in Drug Discovery: A Comprehensive Calibration Study using Neural Network-Based Structure-Activity Modelscited by 2
  26. 2024Good Data Is All Imitation Learning Needscited by 2
  27. 2025Probabilistic Interactive 3D Segmentation with Hierarchical Neural Processescited by 2
  28. 2025Stochastic Weight Sharing for Bayesian Neural Networkscited by 2
  29. 2021Accurate and Reliable Forecasting using Stochastic Differential Equationscited by 1
  30. 2023Law of Large Numbers for Bayesian two-layer Neural Network trained with Variational Inferencecited by 1
  31. 2023Bayesian inference for data-efficient, explainable, and safe robotic motion planning: A reviewcited by 1
  32. 2023Dealing with uncertainty: balancing exploration and exploitation in deep recurrent reinforcement learningcited by 1
  33. 2024Pretraining with random noise for uncertainty calibrationcited by 1
  34. 2025Combining Bayesian Inference and Reinforcement Learning for Agent Decision Making: A Reviewcited by 1
  35. 2025How Safe Will I Be Given What I Saw? Calibrated Prediction of Safety Chances for Image-Controlled Autonomycited by 1
  36. 2022Safer Autonomous Driving in a Stochastic, Partially-Observable Environment by Hierarchical Contingency Planningcited by 0
  37. 2023Meta-learning to Calibrate Gaussian Processes with Deep Kernels for Regression Uncertainty Estimationcited by 0
  38. 2024Accurate and Reliable Predictions with Mutual-Transport Ensemblecited by 0

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