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A distribution-free certification framework for trustworthy crash-severity prediction

arxiv.org/abs/2609.11592

quality89

Updated 3 h ago · first seen 11 Sept 2026

paper_01M294FR3KJC5AB48EC24CSXT9

Published
11 Sept 2026
T1 · 3 h ago
arXiv
2609.11592
T1 · 3 h ago
Category
stat.ML
T1 · 3 h ago

Abstract

Crash-severity models inform screening, dispatch and site prioritization, yet are deployed without a finite-sample statement of what one prediction means. Off-the-shelf guarantees fail here, because the features that make crash severity distinctive defeat them: the KABCO outcome is ordinal, the recorded label is a field assessment agreeing with medical severity about half the time, erring in a structured way, and deployment crosses jurisdictions and years calibration never saw. We develop a certification layer that wraps any severity model unmodified, with distribution-free guarantees using this structure: contiguous ordinal sets that read as "B or worse"; per-class validity for any pre-declared partition, with an oracle efficiency characterization; transfer of coverage to unobserved true severity through a declared reporting band, with a worst-case sharpness result; a one-sided certificate under deployment shift; and severity-weighted risk control. The guarantees compose with an attributable slack budget. The same analysis bounds what certification can achieve. A certified set's informativeness is governed by a functional of the true law that no base model can evade and that cannot be lower-bounded distribution-free; given a declared misreporting channel identified from record-linkage data, a nonvacuous lower bound on that floor becomes computable. On 5.2 million Texas records across seven base models spanning four decades, the layer attaches identical validity and certifies, on the vulnerable road users, a model-independent floor on set width that no base model beats, separating it from a remainder that stays bounded but distribution-free unidentifiable. The framework is released as an open-source package with theorem-level tests.

Authors 2

Amir Rafe, Subasish Das

Specification

Official page

Source:arXiv (Atom API + RSS)T1observed 3 h agohigh

Arxiv announce type
cross

Source:arXiv (Atom API + RSS)T1observed 3 h agohigh

arXiv id
2609.11592

Source:arXiv (Atom API + RSS)T1observed 3 h agohigh

Categories
stat.ML, cs.LG

Source:arXiv (Atom API + RSS)T1observed 3 h agohigh

PDF

Source:arXiv (Atom API + RSS)T1observed 3 h agohigh

Primary category
stat.ML

Source:arXiv (Atom API + RSS)T1observed 3 h agohigh

Published
11 Sept 2026

Source:arXiv (Atom API + RSS)T1observed 3 h agohigh

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Provenance

Attributed facts

9

Source tiers

T19

Freshest observation

3 h ago

Conflicts

None