Semantic or Covariate? A Study on the Intractable Case of Out-of-Distribution Detection

Fuente: arXiv
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Main Authors: Long, Xingming, Zhang, Jie, Shan, Shiguang, Chen, Xilin
Format: Preprint
Published: 2024
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author Long, Xingming
Zhang, Jie
Shan, Shiguang
Chen, Xilin
author_facet Long, Xingming
Zhang, Jie
Shan, Shiguang
Chen, Xilin
contents The primary goal of out-of-distribution (OOD) detection tasks is to identify inputs with semantic shifts, i.e., if samples from novel classes are absent in the in-distribution (ID) dataset used for training, we should reject these OOD samples rather than misclassifying them into existing ID classes. However, we find the current definition of "semantic shift" is ambiguous, which renders certain OOD testing protocols intractable for the post-hoc OOD detection methods based on a classifier trained on the ID dataset. In this paper, we offer a more precise definition of the Semantic Space and the Covariate Space for the ID distribution, allowing us to theoretically analyze which types of OOD distributions make the detection task intractable. To avoid the flaw in the existing OOD settings, we further define the "Tractable OOD" setting which ensures the distinguishability of OOD and ID distributions for the post-hoc OOD detection methods. Finally, we conduct several experiments to demonstrate the necessity of our definitions and validate the correctness of our theorems.
format Preprint
id arxiv_https___arxiv_org_abs_2411_11254
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Semantic or Covariate? A Study on the Intractable Case of Out-of-Distribution Detection
Long, Xingming
Zhang, Jie
Shan, Shiguang
Chen, Xilin
Computer Vision and Pattern Recognition
The primary goal of out-of-distribution (OOD) detection tasks is to identify inputs with semantic shifts, i.e., if samples from novel classes are absent in the in-distribution (ID) dataset used for training, we should reject these OOD samples rather than misclassifying them into existing ID classes. However, we find the current definition of "semantic shift" is ambiguous, which renders certain OOD testing protocols intractable for the post-hoc OOD detection methods based on a classifier trained on the ID dataset. In this paper, we offer a more precise definition of the Semantic Space and the Covariate Space for the ID distribution, allowing us to theoretically analyze which types of OOD distributions make the detection task intractable. To avoid the flaw in the existing OOD settings, we further define the "Tractable OOD" setting which ensures the distinguishability of OOD and ID distributions for the post-hoc OOD detection methods. Finally, we conduct several experiments to demonstrate the necessity of our definitions and validate the correctness of our theorems.
title Semantic or Covariate? A Study on the Intractable Case of Out-of-Distribution Detection
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2411.11254