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Defining Operational Conditions for Safety-Critical AI-Based Systems from Data
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Proposes a deterministic, permutation-stable kernel-based (RBF, noisy-OR superposition) method to construct Operational Design Domains from data, with OOD consistency adjustment and conformal threshold calibration, validated on synthetic benchmarks and a VCAS/HCAS aviation use case.
Problem
Defining the Operational Design Domain (ODD) of safety-critical AI-based systems is hard to do manually, and existing data-driven ODD approches lack a deterministic, order-independent representation and a formal similarity notion.
Approach
Assign an RBF kernel to each ID anchor point with covariance calibrated from nearest-neighbour gaps, superpose affinities via noisy-OR, enforce an upper affinity bound at observed OOD samples by shrinking the most-contributing kernel, and pick the membership threshold by split-conformal calibration; also formalizes ODD similarity as equality of generated output images up to Lebesgue-null sets.
Key results
- On 2D suite at N=1000, autoSAFE is within 0.01313 AUPR of the strongest baseline and outperforms the convex hull on non-convex domains (e.g., annulus IoU 0.864 vs 0.898 for hull, two-blob IoU 0.811 vs 0.488).
- On the VCAS excluded region, false-positive rate falls from 0.547 (convex hull) to 0.037 (autoSAFE) and 0.0115 with OOD constraints.
- Monte Carlo AUPR reaches 0.99902(11) at N=10000 for the linear ODD, while the 5D constrained ODD is sparse-data sensitive (AUPR 0.079 at s=3 vs 0.909 at s=1).
Surprising findings
- The 5D constrained ODD with default calibration (s=3) performs very poorly (AUPR 0.079), below several baselines, showing sensitivity to the bandwidth constant in sparse high-dimensional settings.
- Convex hull IoU slightly exceeds autoSAFE on the annulus (0.898 vs 0.864), though autoSAFE has much smaller false-positive boundary distance.
Limitations
- Affinity depends on kernel calibration constants; sparse high-dimensional case is sensitive to s.
- Derived ODD reflects data density, not causal or system-level safety; unsafe conditions present in data remain inside the ODD.
- No evaluation under distribution shift or mislabeled samples; validation draws from the same generating process as anchors.
Experimental setup
Datasets: VCAS state vectors (aviation) HCAS state vectors (aviation) synthetic analytic ODDs (half-space, annulus, two-blob, banana, 5D constrained)
Benchmarks: synthetic analytic ODDs (2D-12D Monte Carlo) VCAS aviation use case HCAS aviation use case
Metrics: AUPR precision recall IoU false-positive rate false-exclusion rate
Baselines: KDE GMM (BIC) k-NN distance OC-SVM Isolation Forest convex hull
Builds on: Development Assurance Levels split-conformal prediction kernel density estimation DBSCAN
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