Papers › A Simple Unified Framework for Detecting Out-of-Distribution Samples and Adversarial Attacks

A Simple Unified Framework for Detecting Out-of-Distribution Samples and Adversarial Attacks

10 Jul 2018NeurIPS 2018 12arXiv:1807.03888archive 2025-07-28

Kimin Lee, Kibok Lee, Honglak Lee, Jinwoo Shin

Detecting test samples drawn sufficiently far away from the training distribution statistically or adversarially is a fundamental requirement for deploying a good classifier in many real-world machine learning applications. However, deep neural networks with the softmax classifier are known to produce highly overconfident posterior distributions even for such abnormal samples. In this paper, we propose a simple yet effective method for detecting any abnormal samples, which is applicable to any pre-trained softmax neural classifier. We obtain the class conditional Gaussian distributions with respect to (low- and upper-level) features of the deep models under Gaussian discriminant analysis, which result in a confidence score based on the Mahalanobis distance. While most prior methods have been evaluated for detecting either out-of-distribution or adversarial samples, but not both, the proposed method achieves the state-of-the-art performances for both cases in our experiments. Moreover, we found that our proposed method is more robust in harsh cases, e.g., when the training dataset has noisy labels or small number of samples. Finally, we show that the proposed method enjoys broader usage by applying it to class-incremental learning: whenever out-of-distribution samples are detected, our classification rule can incorporate new classes well without further training deep models.

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pokaxpoka/deep_Mahalanobis_detector officialmentioned in papermentioned on GitHubpytorch report
caotians1/OD-test-master mentioned on GitHubpytorchMIT report
kimjeyoung/Mahalanobis-BERT mentioned on GitHubpytorch report
lancopku/avg-avg mentioned on GitHubpytorchMIT report

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getNonTargetDataSet pokaxpoka/deep_Mahalanobis_detector/OOD_Generate_Mahalanobis.py official repository ran no licence file found · pointer only · 7d4b9ccab3f5129d · report
getSVHN pokaxpoka/deep_Mahalanobis_detector/OOD_Generate_Mahalanobis.py official repository ran · our draft was wrong no licence file found · pointer only · e126771f22bb7a57 · report
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BertLinear kimjeyoung/Mahalanobis-BERT/models/mahalanobis.py community (archive-listed) ran · our draft was wrong no licence file found · pointer only · 4868113bacf5fb6a · report
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l2_normalize kimjeyoung/Mahalanobis-BERT/models/mahalanobis.py community (archive-listed) ran · fixture could not drive it no licence file found · pointer only · ddaf1f8283422da4 · report
get_Mahalanobis_score lancopku/avg-avg/lib/inference/maha.py community (archive-listed) unverified MIT (permissive) · a6cc0332f174b30c · report

Tasks

Class Incremental LearningIncremental LearningOut-of-Distribution Detectionclass-incremental learning

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Out-of-Distribution Detection MS-1M vs. IJB-C ResNeXt 50 + Maha distance AUROC 82.5 #2 of 4 Archive leaderboard report

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Methods

Softmax

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