Provably Robust Detection of Out-of-distribution Data (almost) for free
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Abstract (arXiv)
The application of machine learning in safety-critical systems requires a reliable assessment of uncertainty. However, deep neural networks are known to produce highly overconfident predictions on out-of-distribution (OOD) data. Even if trained to be non-confident on OOD data, one can still adversarially manipulate OOD data so that the classifier again assigns high confidence to the manipulated samples. We show that two previously published defenses can be broken by better adapted attacks, highlighting the importance of robustness guarantees around OOD data. Since the existing method for this task is hard to train and significantly limits accuracy, we construct a classifier that can simultaneously achieve provably adversarially robust OOD detection and high clean accuracy. Moreover, by slightly modifying the classifier's architecture our method provably avoids the asymptotic overconfidence problem of standard neural networks. We provide code for all our experiments.
Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). Builds on 42 of its 61 references that are in the map. First posted on arXiv 8 Jun 2021.
Builds on
42 of 61 references.
References · 42
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30 more
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Citing papers per year: 2021: 4; 2022: 4; 2023: 3; 2024: 2; 2025: 2; 2026: 2.
17 papers.
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- 2021A Unified Survey on Anomaly, Novelty, Open-Set, and Out-of-Distribution Detection: Solutions and Future Challengescited by 154
- 2023In or Out? Fixing ImageNet Out-of-Distribution Detection Evaluationcited by 132
- 2023Provably Bounding Neural Network Preimagescited by 28
- 2022Your Out-of-Distribution Detection Method is Not Robust!cited by 16
- 2025RODEO: Robust Outlier Detection via Exposing Adaptive Out-of-Distribution Samplescited by 7
- 2024Out-of-Distribution Data: An Acquaintance of Adversarial Examples -- A Surveycited by 6
- 2024Adversarially Robust Out-of-Distribution Detection Using Lyapunov-Stabilized Embeddingscited by 6
- 2023Diffusion Denoised Smoothing for Certified and Adversarial Robust Out-Of-Distribution Detectioncited by 5
- 2021Task-Driven Detection of Distribution Shifts with Statistical Guarantees for Robot Learningcited by 4
- 2022On Attacking Out-Domain Uncertainty Estimation in Deep Neural Networkscited by 4
- 2021FROB: Few-shot ROBust Model for Classification and Out-of-Distribution Detectioncited by 2
- 2022Attributing AUC-ROC to Analyze Binary Classifier Performancecited by 2
5 more
- 2022Understanding Open-Set Recognition by Jacobian Norm and Inter-Class Separationcited by 2
- 2025Open Set Label Shift with Test Time Out-of-Distribution Referencecited by 1
- 2026ICONIC-444: A 3.1-Million-Image Dataset for OOD Detection Researchcited by 1
- 2021DOODLER: Determining Out-Of-Distribution Likelihood from Encoder Reconstructionscited by 0
- 2026Vision-Language Model Confidence Is Not a Property of the Answercited by 0
- 2026Vision-Language Model Confidence Is Not a Property of the Answer6 Aug 2026
- 2026ICONIC-444: A 3.1-Million-Image Dataset for OOD Detection Research15 Jan 2026
- 2025Open Set Label Shift with Test Time Out-of-Distribution Reference9 May 2025
- 2025RODEO: Robust Outlier Detection via Exposing Adaptive Out-of-Distribution Samples28 Jan 2025
- 2024Adversarially Robust Out-of-Distribution Detection Using Lyapunov-Stabilized Embeddings14 Oct 2024
- 2024Out-of-Distribution Data: An Acquaintance of Adversarial Examples -- A Survey8 Apr 2024
- 2023In or Out? Fixing ImageNet Out-of-Distribution Detection Evaluation1 Jun 2023
- 2023Diffusion Denoised Smoothing for Certified and Adversarial Robust Out-Of-Distribution Detection27 Mar 2023
- 2023Provably Bounding Neural Network Preimages2 Feb 2023
- 2022On Attacking Out-Domain Uncertainty Estimation in Deep Neural Networks3 Oct 2022
- 2022Your Out-of-Distribution Detection Method is Not Robust!30 Sep 2022
- 2022Understanding Open-Set Recognition by Jacobian Norm and Inter-Class Separation23 Sep 2022
5 more
- 2022Attributing AUC-ROC to Analyze Binary Classifier Performance24 May 2022
- 2021FROB: Few-shot ROBust Model for Classification and Out-of-Distribution Detection30 Nov 2021
- 2021A Unified Survey on Anomaly, Novelty, Open-Set, and Out-of-Distribution Detection: Solutions and Future Challenges26 Oct 2021
- 2021DOODLER: Determining Out-Of-Distribution Likelihood from Encoder Reconstructions27 Sep 2021
- 2021Task-Driven Detection of Distribution Shifts with Statistical Guarantees for Robot Learning25 Jun 2021
- 2021A Unified Survey on Anomaly, Novelty, Open-Set, and Out-of-Distribution Detection: Solutions and Future Challengescited by 154
- 2023In or Out? Fixing ImageNet Out-of-Distribution Detection Evaluationcited by 132
- 2023Provably Bounding Neural Network Preimagescited by 28
- 2022Your Out-of-Distribution Detection Method is Not Robust!cited by 16
- 2025RODEO: Robust Outlier Detection via Exposing Adaptive Out-of-Distribution Samplescited by 7
- 2024Out-of-Distribution Data: An Acquaintance of Adversarial Examples -- A Surveycited by 6
- 2024Adversarially Robust Out-of-Distribution Detection Using Lyapunov-Stabilized Embeddingscited by 6
- 2023Diffusion Denoised Smoothing for Certified and Adversarial Robust Out-Of-Distribution Detectioncited by 5
- 2021Task-Driven Detection of Distribution Shifts with Statistical Guarantees for Robot Learningcited by 4
- 2022On Attacking Out-Domain Uncertainty Estimation in Deep Neural Networkscited by 4
- 2021FROB: Few-shot ROBust Model for Classification and Out-of-Distribution Detectioncited by 2
- 2022Attributing AUC-ROC to Analyze Binary Classifier Performancecited by 2
12 most cited of 17 All 17 (JSON)
- 2026Vision-Language Model Confidence Is Not a Property of the Answer6 Aug 2026
- 2026ICONIC-444: A 3.1-Million-Image Dataset for OOD Detection Research15 Jan 2026
- 2025Open Set Label Shift with Test Time Out-of-Distribution Reference9 May 2025
- 2025RODEO: Robust Outlier Detection via Exposing Adaptive Out-of-Distribution Samples28 Jan 2025
- 2024Adversarially Robust Out-of-Distribution Detection Using Lyapunov-Stabilized Embeddings14 Oct 2024
- 2024Out-of-Distribution Data: An Acquaintance of Adversarial Examples -- A Survey8 Apr 2024
- 2023In or Out? Fixing ImageNet Out-of-Distribution Detection Evaluation1 Jun 2023
- 2023Diffusion Denoised Smoothing for Certified and Adversarial Robust Out-Of-Distribution Detection27 Mar 2023
- 2023Provably Bounding Neural Network Preimages2 Feb 2023
- 2022On Attacking Out-Domain Uncertainty Estimation in Deep Neural Networks3 Oct 2022
- 2022Your Out-of-Distribution Detection Method is Not Robust!30 Sep 2022
- 2022Understanding Open-Set Recognition by Jacobian Norm and Inter-Class Separation23 Sep 2022
12 newest of 17 All 17 (JSON)