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Vision-Based Runtime Monitoring under Varying Specifications using Semantic Latent Representations

The paper introduces a reusable vision-based runtime monitoring framework for past-time signal temporal logic (ptSTL) that provides finite-sample guarantees. By using a semantic basis (vector of atom robustness scores), a single conformal calibration suffices for all formulas in a fragment. A rolling prediction monitor is also proposed, which is easier to learn but becomes conservative at longer horizons. Experiments on pedestrian-crossroad and Waymo datasets demonstrate the trade-offs.

SourcearXiv Machine LearningAuthor: Bardh Hoxha, Oliver Sch\"on, Hideki Okamoto, Lars Lindemann, Georgios Fainekos

[2605.13923] Vision-Based Runtime Monitoring under Varying Specifications using Semantic Latent Representations

[Submitted on 13 May 2026]

Title:Vision-Based Runtime Monitoring under Varying Specifications using Semantic Latent Representations

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Abstract:We study certified runtime monitoring of past-time signal temporal logic (ptSTL) from visual observations under partial observability. The monitor must infer safety-relevant quantities from images and provide finite-sample guarantees, while being \emph{reusable}: once trained and calibrated, it should certify any formula in a target fragment without per-formula retraining. For fragments induced by a finite dictionary of temporal atoms, we prove that the \emph{semantic basis}, the vector of atom robustness scores, is the minimum prediction target within the class of monotone, 1-Lipschitz reusable interfaces: any formula is evaluated by a deterministic decoder derived from the parse tree, and a single conformal calibration pass certifies the entire fragment with no union bound. We also introduce a \emph{rolling prediction monitor} that predicts only current predicate values and reconstructs temporal history online; this is easier to learn but grows conservative at long horizons. On a pedestrian-crossroad benchmark, rolling achieves tighter certified bounds at short horizons while the semantic-basis monitor is up to 4-times tighter at long horizons. We validate the presented monitors on real-world Waymo driving data, where both monitors satisfy the conformal coverage guarantee empirically.

Subjects:

Machine Learning (cs.LG); Computer Vision and Pattern Recognition (cs.CV); Robotics (cs.RO); Systems and Control (eess.SY)

Cite as: arXiv:2605.13923 [cs.LG]

(or arXiv:2605.13923v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2605.13923

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Bardh Hoxha [view email] [v1] Wed, 13 May 2026 14:22:25 UTC (1,836 KB)

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