mlsanityData to 14 Oct 2026

Testing Between the Test Cases: Proving End-to-End Steering in Conditions You Never Drove

arXiv 2609.10951 ↗First posted 10 Sep 2026cs.RO cs.LGcited by 1

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Abstract (arXiv)

AI-based automated vehicle testing is challenging because a model that passes every test condition can still fail in the real world. Formal verification offers a way to directly address this gap. On a simulated highway and an arterial road we trained two small end-to-end steering networks each in CARLA, one on clear conditions alone and one on clear, fog, night and low sun. All four models were driven against a 2.19 ft lane-departure budget. Without driving again, we used bound propagation, a formal method that reads the trained weights, to compute how far steering can drift at every disturbance strength between two captured images. One calculation covers more than a campaign could drive: on the arterial it spans 133 poses, where ten intensities each would be 10^133 combinations, in minutes on one GPU. Not only did formal verification find conditions that broke the clear-trained policy without simulation testing, it provided some preliminary evidence for potential failures between the test cases. Our overall conclusion is that formal verification is a viable complement to simulation, and could be adopted as a part of verification and validation for automated driving.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 24 of its 62 references that are in the map. First posted on arXiv 10 Sep 2026.

Builds on

24 of 62 references.

References · 24

  1. 2017CARLA: An Open Urban Driving Simulatorcited by 2,449
  2. 2022Planning-oriented Autonomous Drivingcited by 1,087
  3. 2016End to End Learning for Self-Driving Carscited by 1,009
  4. 2018Deep Retinex Decomposition for Low-Light Enhancementcited by 723
  5. 2023VAD: Vectorized Scene Representation for Efficient Autonomous Drivingcited by 622
  6. 2023End-to-end Autonomous Driving: Challenges and Frontierscited by 490
  7. 2018Efficient Neural Network Robustness Certification with General Activation Functionscited by 445
  8. 2018Learning to Drive in a Daycited by 273
  9. 2021Beta-CROWN: Efficient Bound Propagation with Per-neuron Split Constraints for Complete and Incomplete Neural Network Robustness Verificationcited by 228
  10. 2020Fast and Complete: Enabling Complete Neural Network Verification with Rapid and Massively Parallel Incomplete Verifierscited by 187
  11. 2020NNV: The Neural Network Verification Tool for Deep Neural Networks and Learning-Enabled Cyber-Physical Systemscited by 128
  12. 2019A Convex Relaxation Barrier to Tight Robustness Verification of Neural Networkscited by 125
12 more
  1. 2018Verisig: verifying safety properties of hybrid systems with neural network controllerscited by 84
  2. 2019Uncertainty Quantification with Statistical Guarantees in End-to-End Autonomous Driving Controlcited by 61
  3. 2018Formal Verification of Neural Network Controlled Autonomous Systemscited by 41
  4. 2017An Analysis of ISO 26262: Using Machine Learning Safely in Automotive Softwarecited by 26
  5. 2021ACDC: The Adverse Conditions Dataset with Correspondences for Robust Semantic Driving Scene Perceptioncited by 21
  6. 2026NVIDIA OmniDreams: Real-Time Generative World Model for Closed-Loop Autonomous Vehicle Simulationcited by 14
  7. 2025SDP-CROWN: Efficient Bound Propagation for Neural Network Verification with Tightness of Semidefinite Programmingcited by 12
  8. 2023Building a Credible Case for Safety: Waymo's Approach for the Determination of Absence of Unreasonable Riskcited by 11
  9. 2021Bootstrapping confidence in future safety based on past safe operationcited by 2
  10. 2024Open Challenges in the Formal Verification of Autonomous Drivingcited by 1
  11. 2025Automating Automotive Software Development: A Synergy of Generative AI and Model-Based Methodscited by 1
  12. 2026Understanding Adversarial Transferability in Vision-Language Models for Autonomous Driving: A Cross-Architecture Analysiscited by 1

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