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We consider Gaussian mixture models in high dimensions and concentrate on the twin tasks of detection and feature selection. Under sparsity assumptions on the difference in means, we derive information bounds and establish the performance…

Statistics Theory · Mathematics 2016-10-04 Nicolas Verzelen , Ery Arias-Castro

The main shortage of principle component analysis (PCA) based anomaly detection models is their interpretability. In this paper, our goal is to propose an interpretable PCA-based model for anomaly detection and interpretation. The propose…

Numerical Analysis · Computer Science 2016-05-17 Xingyan Bin , Ying Zhao , Bilong Shen

Hyperspectral images (HSIs) capture richer spatial-spectral information beyond RGB, yet real-world HSIs often suffer from a composite mix of degradations, such as noise, blur, and missing bands. Existing generative approaches for HSI…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Xiangming Wang , Benteng Sun , Yungeng Liu , Haijin Zeng , Yongyong Chen , Jingyong Su , Jie Liu

This paper presents a nonlinear mixing model for joint hyperspectral image unmixing and nonlinearity detection. The proposed model assumes that the pixel reflectances are linear combinations of known pure spectral components corrupted by an…

Methodology · Statistics 2015-06-16 Yoann Altmann , Nicolas Dobigeon , Steve McLaughlin , Jean-Yves Tourneret

The infrared small-dim target detection is one of the key techniques in the infrared search and tracking system. Since the local regions similar to infrared small-dim targets spread over the whole background, exploring the interaction…

Computer Vision and Pattern Recognition · Computer Science 2021-11-12 Fangcen Liu , Chenqiang Gao , Fang Chen , Deyu Meng , Wangmeng Zuo , Xinbo Gao

Compressive Sensing (CS) theory asserts that sparse signal reconstruction is possible from a small number of linear measurements. Although CS enables low-cost linear sampling, it requires non-linear and costly reconstruction. Recent…

Machine Learning · Computer Science 2018-10-16 Aysen Degerli , Sinem Aslan , Mehmet Yamac , Bulent Sankur , Moncef Gabbouj

In this paper, we propose an effective scene text recognition method using sparse coding based features, called Histograms of Sparse Codes (HSC) features. For character detection, we use the HSC features instead of using the Histograms of…

Computer Vision and Pattern Recognition · Computer Science 2015-12-31 Da-Han Wang , Hanzi Wang , Dong Zhang , Jonathan Li , David Zhang

Super-resolution theory aims to estimate the discrete components lying in a continuous space that constitute a sparse signal with optimal precision. This work investigates the potential of recent super-resolution techniques for spectral…

Information Theory · Computer Science 2016-11-24 M. Ferreira Da Costa , W. Dai

As a key task in hyperspectral image processing, hyperspectral anomaly detection has garnered significant attention and undergone extensive research. Existing methods primarily relt on two prior assumption: low-rank background and sparse…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Jiahui Sheng , Xiaorun Li , Shuhan Chen

Previous versions of sparse principal component analysis (PCA) have presumed that the eigen-basis (a $p \times k$ matrix) is approximately sparse. We propose a method that presumes the $p \times k$ matrix becomes approximately sparse after…

Machine Learning · Statistics 2023-08-07 Fan Chen , Karl Rohe

Hyperspectral Image(HSI) classification is the most vibrant field of research in the hyperspectral community, which aims to assign each pixel in the image to one certain category based on its spectral-spatial characteristics. Recently, some…

Computer Vision and Pattern Recognition · Computer Science 2021-03-19 Hao Chen , Xiaohua Li , Jiliu Zhou

Hyperspectral imaging (HSI) is essential across various disciplines for its capacity to capture rich spectral information. However, efficiently reconstructing hyperspectral images from compressive sensing measurements presents significant…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Jianan Li , Wangcai Zhao , Tingfa Xu

Frames have established themselves as a means to derive redundant, yet stable decompositions of a signal for analysis or transmission, while also promoting sparse expansions. However, when the signal dimension is large, the computation of…

Numerical Analysis · Mathematics 2011-06-30 Peter G. Casazza , Andreas Heinecke , Felix Krahmer , Gitta Kutyniok

This paper presents an adaptive and intelligent sparse model for digital image sampling and recovery. In the proposed sampler, we adaptively determine the number of required samples for retrieving image based on space-frequency-gradient…

Computer Vision and Pattern Recognition · Computer Science 2017-11-27 Ali Taimori , Farokh Marvasti

In this paper, we address the hyperspectral image (HSI) classification task with a generative adversarial network and conditional random field (GAN-CRF) -based framework, which integrates a semi-supervised deep learning and a probabilistic…

Image and Video Processing · Electrical Eng. & Systems 2019-05-14 Zilong Zhong , Jonathan Li , David A. Clausi , Alexander Wong

Sparse principal component analysis (PCA) is an important technique for dimensionality reduction of high-dimensional data. However, most existing sparse PCA algorithms are based on non-convex optimization, which provide little guarantee on…

Methodology · Statistics 2019-11-20 Yixuan Qiu , Jing Lei , Kathryn Roeder

We present Sparse R-CNN, a purely sparse method for object detection in images. Existing works on object detection heavily rely on dense object candidates, such as $k$ anchor boxes pre-defined on all grids of image feature map of size…

Computer Vision and Pattern Recognition · Computer Science 2021-04-27 Peize Sun , Rufeng Zhang , Yi Jiang , Tao Kong , Chenfeng Xu , Wei Zhan , Masayoshi Tomizuka , Lei Li , Zehuan Yuan , Changhu Wang , Ping Luo

Hyperspectral image (HSI) classification is gaining a lot of momentum in present time because of high inherent spectral information within the images. However, these images suffer from the problem of curse of dimensionality and usually…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Shivam Pande , Nassim Ait Ali Braham , Yi Wang , Conrad M Albrecht , Biplab Banerjee , Xiao Xiang Zhu

We describe a novel method for training high-quality image denoising models based on unorganized collections of corrupted images. The training does not need access to clean reference images, or explicit pairs of corrupted images, and can…

Machine Learning · Computer Science 2019-10-29 Samuli Laine , Tero Karras , Jaakko Lehtinen , Timo Aila

Hyperspectral imaging (HSI) enables detailed land cover classification, yet low spatial resolution and sparse annotations pose significant challenges. We present a label-efficient framework that leverages spatial features from a frozen…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Yuzhen Hu , Biplab Banerjee , Saurabh Prasad