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This research advances conformal anomaly detection by introducing resampling-based methods that balance data efficiency with computational speed in low-data regimes. By controlling Type I error rates without inflating false negatives, these techniques offer practical statistical guarantees for building more trustworthy AI systems.
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Leave-One-Out-, Bootstrap- and Cross-Conformal Anomaly Detectors

arXiv2 min read

arXiv:2402.16388v4 Announce Type: replace-cross Abstract: The need for uncertainty quantification in anomaly detection systems has become increasingly important. In this context, effectively controlling Type I error rates without inflating Type II error rates in these systems can build trust and reduce costs associated with false discoveries. The field of conformal anomaly detection emerges as a promising approach for providing respective statistical and finite-sample validity guarantees through model calibration. However, reliance on calibration data imposes practical limitations, especially in low-data regimes. In this work, we formally define and evaluate leave-one-out-, bootstrap-, and cross-conformal methods for conformal anomaly detection, building on methods from the field of conformal prediction. Looking beyond the classical split-conformal approach, we show that derived methods for calculating resampling-conformal $p$-values offer a practical compromise between the data efficiency of full-conformal (transductive) approaches and the computational efficiency of split-conformal (inductive) methods. We validate derived methods and quantify their improvements for a range of one-class classifiers and datasets.

Abstract:The need for uncertainty quantification in anomaly detection systems has become increasingly important. In this context, effectively controlling Type I error rates without inflating Type II error rates in these systems can build trust and reduce costs associated with false discoveries. The field of conformal anomaly detection emerges as a promising approach for providing respective statistical and finite-sample validity guarantees through model calibration. However, reliance on calibration data imposes practical limitations, especially in low-data regimes. In this work, we formally define and evaluate leave-one-out-, bootstrap-, and cross-conformal methods for conformal anomaly detection, building on methods from the field of conformal prediction. Looking beyond the classical split-conformal approach, we show that derived methods for calculating resampling-conformal $p$-values offer a practical compromise between the data efficiency of full-conformal (transductive) approaches and the computational efficiency of split-conformal (inductive) methods. We validate derived methods and quantify their improvements for a range of one-class classifiers and datasets.

Machine Learning (stat.ML); Machine Learning (cs.LG)

arXiv:2402.16388 [stat.ML]

(or arXiv:2402.16388v4 [stat.ML] for this version)

Proc. 2024 IEEE ICKG 15(1): 110-119 (February 2025)

https://doi.org/10.1109/ICKG63256.2024.00022 DOI(s) linking to related resources

Full text under the publisher's open licence · 180 words

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