Saved in:
Bibliographic Details
Main Authors: Sheng, Jiahui, Shi, Yidan, Xiang, Shu, Li, Xiaorun, Chen, Shuhan
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2601.12379
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866909994188800000
author Sheng, Jiahui
Shi, Yidan
Xiang, Shu
Li, Xiaorun
Chen, Shuhan
author_facet Sheng, Jiahui
Shi, Yidan
Xiang, Shu
Li, Xiaorun
Chen, Shuhan
contents Hyperspectral images (HSIs) are a type of image that contains abundant spectral information. As a type of real-world data, the high-dimensional spectra in hyperspectral images are actually determined by only a few factors, such as chemical composition and illumination. Thus, spectra in hyperspectral images are highly likely to satisfy the manifold hypothesis. Based on the hyperspectral manifold hypothesis, we propose a novel hyperspectral anomaly detection method (named ScoreAD) that leverages the time-dependent gradient field of the data distribution (i.e., the score), as learned by a score-based generative model (SGM). Our method first trains the SGM on the entire set of spectra from the hyperspectral image. At test time, each spectrum is passed through a perturbation kernel, and the resulting perturbed spectrum is fed into the trained SGM to obtain the estimated score. The manifold hypothesis of HSIs posits that background spectra reside on one or more low-dimensional manifolds. Conversely, anomalous spectra, owing to their unique spectral signatures, are considered outliers that do not conform to the background manifold. Based on this fundamental discrepancy in their manifold distributions, we leverage a generative SGM to achieve hyperspectral anomaly detection. Experiments on the four hyperspectral datasets demonstrate the effectiveness of the proposed method. The code is available at https://github.com/jiahuisheng/ScoreAD.
format Preprint
id arxiv_https___arxiv_org_abs_2601_12379
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Utilizing the Score of Data Distribution for Hyperspectral Anomaly Detection
Sheng, Jiahui
Shi, Yidan
Xiang, Shu
Li, Xiaorun
Chen, Shuhan
Computer Vision and Pattern Recognition
Hyperspectral images (HSIs) are a type of image that contains abundant spectral information. As a type of real-world data, the high-dimensional spectra in hyperspectral images are actually determined by only a few factors, such as chemical composition and illumination. Thus, spectra in hyperspectral images are highly likely to satisfy the manifold hypothesis. Based on the hyperspectral manifold hypothesis, we propose a novel hyperspectral anomaly detection method (named ScoreAD) that leverages the time-dependent gradient field of the data distribution (i.e., the score), as learned by a score-based generative model (SGM). Our method first trains the SGM on the entire set of spectra from the hyperspectral image. At test time, each spectrum is passed through a perturbation kernel, and the resulting perturbed spectrum is fed into the trained SGM to obtain the estimated score. The manifold hypothesis of HSIs posits that background spectra reside on one or more low-dimensional manifolds. Conversely, anomalous spectra, owing to their unique spectral signatures, are considered outliers that do not conform to the background manifold. Based on this fundamental discrepancy in their manifold distributions, we leverage a generative SGM to achieve hyperspectral anomaly detection. Experiments on the four hyperspectral datasets demonstrate the effectiveness of the proposed method. The code is available at https://github.com/jiahuisheng/ScoreAD.
title Utilizing the Score of Data Distribution for Hyperspectral Anomaly Detection
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2601.12379