Assessing Safety-Critical Systems from Operational Testing: A Study on Autonomous Vehicles
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Abstract (arXiv)
Context: Demonstrating high reliability and safety for safety-critical systems (SCSs) remains a hard problem. Diverse evidence needs to be combined in a rigorous way: in particular, results of operational testing with other evidence from design and verification. Growing use of machine learning in SCSs, by precluding most established methods for gaining assurance, makes operational testing even more important for supporting safety and reliability claims. Objective: We use Autonomous Vehicles (AVs) as a current example to revisit the problem of demonstrating high reliability. AVs are making their debut on public roads: methods for assessing whether an AV is safe enough are urgently needed. We demonstrate how to answer 5 questions that would arise in assessing an AV type, starting with those proposed by a highly-cited study. Method: We apply new theorems extending Conservative Bayesian Inference (CBI), which exploit the rigour of Bayesian methods while reducing the risk of involuntary misuse associated with now-common applications of Bayesian inference; we define additional conditions needed for applying these methods to AVs. Results: Prior knowledge can bring substantial advantages if the AV design allows strong expectations of safety before road testing. We also show how naive attempts at conservative assessment may lead to over-optimism instead; why extrapolating the trend of disengagements is not suitable for safety claims; use of knowledge that an AV has moved to a less stressful environment. Conclusion: While some reliability targets will remain too high to be practically verifiable, CBI removes a major source of doubt: it allows use of prior knowledge without inducing dangerously optimistic biases. For certain ranges of required reliability and prior beliefs, CBI thus supports feasible, sound arguments. Useful conservative claims can be derived from limited prior knowledge.
Key facts. Cited by 9 papers in the map (data through 7 Oct 2026). First posted on arXiv 19 Aug 2020.
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Citing papers per year: 2021: 4; 2022: 0; 2023: 1; 2024: 0; 2025: 3; 2026: 1.
9 papers.
- 2021Reliability Assessment and Safety Arguments for Machine Learning Components in System Assurancecited by 16
- 2021Assessing the Reliability of Deep Learning Classifiers Through Robustness Evaluation and Operational Profilescited by 11
- 2023Bayesian Learning for the Robust Verification of Autonomous Robotscited by 6
- 2025Probabilistic Robustness in Deep Learning: A Concise yet Comprehensive Guidecited by 6
- 2025On the Need for a Statistical Foundation in Scenario-Based Testing of Autonomous Vehiclescited by 4
- 2021Symbiotic System of Systems Design for Safe and Resilient Autonomous Robotics in Offshore Wind Farmscited by 2
- 2021Bootstrapping confidence in future safety based on past safe operationcited by 2
- 2025A Hierarchical Imprecise Probability Approach to Reliability Assessment of Large Language Modelscited by 2
- 2026Leveraging System-Level Observations to Inform Bayesian Learning of Model Parameters for Quantitative Verificationcited by 0
- 2026Leveraging System-Level Observations to Inform Bayesian Learning of Model Parameters for Quantitative Verification4 Aug 2026
- 2025A Hierarchical Imprecise Probability Approach to Reliability Assessment of Large Language Models1 Nov 2025
- 2025On the Need for a Statistical Foundation in Scenario-Based Testing of Autonomous Vehicles4 May 2025
- 2025Probabilistic Robustness in Deep Learning: A Concise yet Comprehensive Guide20 Feb 2025
- 2023Bayesian Learning for the Robust Verification of Autonomous Robots15 Mar 2023
- 2021Reliability Assessment and Safety Arguments for Machine Learning Components in System Assurance30 Nov 2021
- 2021Bootstrapping confidence in future safety based on past safe operation20 Oct 2021
- 2021Assessing the Reliability of Deep Learning Classifiers Through Robustness Evaluation and Operational Profiles2 Jun 2021
- 2021Symbiotic System of Systems Design for Safe and Resilient Autonomous Robotics in Offshore Wind Farms23 Jan 2021