PAC-Wrap: Semi-Supervised PAC Anomaly Detection
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Abstract (arXiv)
Anomaly detection is essential for preventing hazardous outcomes for safety-critical applications like autonomous driving. Given their safety-criticality, these applications benefit from provable bounds on various errors in anomaly detection. To achieve this goal in the semi-supervised setting, we propose to provide Probably Approximately Correct (PAC) guarantees on the false negative and false positive detection rates for anomaly detection algorithms. Our method (PAC-Wrap) can wrap around virtually any existing semi-supervised and unsupervised anomaly detection method, endowing it with rigorous guarantees. Our experiments with various anomaly detectors and datasets indicate that PAC-Wrap is broadly effective.
Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). Builds on 12 of its 40 references that are in the map. First posted on arXiv 22 May 2022.
Builds on
12 of 40 references.
References · 12
- 2018GANomaly: Semi-Supervised Anomaly Detection via Adversarial Trainingcited by 409
- 2018Detecting Spacecraft Anomalies Using LSTMs and Nonparametric Dynamic Thresholdingcited by 407
- 2019Deep Learning for Anomaly Detection: A Surveycited by 357
- 2019Deep Semi-Supervised Anomaly Detectioncited by 290
- 2019Deep Anomaly Detection with Deviation Networkscited by 152
- 2014Toward Supervised Anomaly Detectioncited by 73
- 2018Exact and Robust Conformal Inference Methods for Predictive Machine Learning With Dependent Datacited by 64
- 2014Regression Conformal Prediction with Nearest Neighbourscited by 59
- 2019PAC Confidence Sets for Deep Neural Networks via Calibrated Predictioncited by 59
- 2022iDECODe: In-distribution Equivariance for Conformal Out-of-distribution Detectioncited by 27
- 2021Merlion: A Machine Learning Library for Time Seriescited by 25
- 2020Semi-supervised Anomaly Detection using AutoEncoderscited by 3
Built on by
Citing papers per year: 2022: 1; 2023: 2; 2024: 1; 2025: 5; 2026: 1.
10 papers.
- 2025Conformal Inference under High-Dimensional Covariate Shifts via Likelihood-Ratio Regularizationcited by 11
- 2022Conformal Frequency Estimation using Discrete Sketched Data with Coverage for Distinct Queriescited by 10
- 2023Unsupervised Anomaly Detection with Rejectioncited by 9
- 2024Conformal Structured Predictioncited by 9
- 2025Probabilistic Stability Guarantees for Feature Attributionscited by 9
- 2023SymmPI: Predictive Inference for Data with Group Symmetriescited by 8
- 2025Conformal Information Pursuit for Interactively Guiding Large Language Modelscited by 7
- 2025Statistical Methods in Generative AIcited by 4
- 2025An Encode-then-Decompose Approach to Unsupervised Time Series Anomaly Detection on Contaminated Training Data--Extended Versioncited by 3
- 2026How Many Categories Are Enough? Distribution-Free Certification Limits for Few-Shot Anomaly Thresholdscited by 0
- 2026How Many Categories Are Enough? Distribution-Free Certification Limits for Few-Shot Anomaly Thresholds23 Sep 2026
- 2025An Encode-then-Decompose Approach to Unsupervised Time Series Anomaly Detection on Contaminated Training Data--Extended Version21 Oct 2025
- 2025Statistical Methods in Generative AI8 Sep 2025
- 2025Conformal Information Pursuit for Interactively Guiding Large Language Models4 Jul 2025
- 2025Probabilistic Stability Guarantees for Feature Attributions18 Apr 2025
- 2025Conformal Inference under High-Dimensional Covariate Shifts via Likelihood-Ratio Regularization18 Feb 2025
- 2024Conformal Structured Prediction8 Oct 2024
- 2023SymmPI: Predictive Inference for Data with Group Symmetries26 Dec 2023
- 2023Unsupervised Anomaly Detection with Rejection22 May 2023
- 2022Conformal Frequency Estimation using Discrete Sketched Data with Coverage for Distinct Queries9 Nov 2022