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Spatiotemporal traffic time series (e.g., traffic volume/speed) collected from sensing systems are often incomplete with considerable corruption and large amounts of missing values, preventing users from harnessing the full power of the…

Machine Learning · Computer Science 2023-01-18 Xinyu Chen , Mengying Lei , Nicolas Saunier , Lijun Sun

We consider the problem of recovering an unknown effectively $(s_1,s_2)$-sparse low-rank-$R$ matrix $X$ with possibly non-orthogonal rank-$1$ decomposition from incomplete and inaccurate linear measurements of the form $y = \mathcal A (X) +…

Numerical Analysis · Mathematics 2020-07-29 Massimo Fornasier , Johannes Maly , Valeriya Naumova

Multi-energy CT based on compression sensing theory with sparse-view sampling can effectively reduce radiation dose and maintain the quality of the reconstructed image. However,when the projection data are noisy, the reconstructed image can…

Medical Physics · Physics 2019-12-04 Cheng Kai , Jiang Min , Jianqiao Yu , Sun Yi

This paper considers the problem of finding a low rank matrix from observations of linear combinations of its elements. It is well known that if the problem fulfills a restricted isometry property (RIP), convex relaxations using the nuclear…

Optimization and Control · Mathematics 2017-11-13 Carl Olsson , Marcus Carlsson , Erik Bylow

The detection of small objects is a challenging task in computer vision. Conventional object detection methods have difficulty in finding the balance between high detection and low false alarm rates. In the literature, some methods have…

Computer Vision and Pattern Recognition · Computer Science 2024-02-06 Alina Ciocarlan , Sylvie Le Hegarat-Mascle , Sidonie Lefebvre , Arnaud Woiselle

We study the problem of estimating the frequencies of several complex sinusoids with constant amplitude (CA) (also called constant modulus) from multichannel signals of their superposition. To exploit the CA property for frequency…

Optimization and Control · Mathematics 2024-04-23 Xunmeng Wu , Zai Yang , Zongben Xu

Single-frame infrared small target (SIRST) detection aims at separating small targets from clutter backgrounds on infrared images. Recently, deep learning based methods have achieved promising performance on SIRST detection, but at the cost…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Boyang Li , Yingqian Wang , Longguang Wang , Fei Zhang , Ting Liu , Zaiping Lin , Wei An , Yulan Guo

Low rank tensor completion is a highly ill-posed inverse problem, particularly when the data model is not accurate, and some sort of regularization is required in order to solve it. In this article we focus on the calibration of the data…

Numerical Analysis · Mathematics 2019-04-10 Lars Grasedyck , Sebastian Krämer

Reduced-rank linear discriminant analysis (RRLDA) is a foundational method of dimension reduction for classification that has been useful in a wide range of applications. The goal is to identify an optimal subspace to project the…

Computation · Statistics 2026-02-12 Jocelyn T. Chi

This paper is concerned with the low Tucker-rank tensor completion problem, which is about reconstructing a tensor $ T \in\mathbb{R}^{n\times n \times n}$ of low multilinear rank from partially observed entries. Riemannian optimization…

Optimization and Control · Mathematics 2023-08-03 Haifeng Wang , Jinchi Chen , Ke Wei

Infrared Small Target Detection (IRSTD) is a challenging task in defense applications, where complex backgrounds and tiny target sizes often result in numerous false alarms using conventional object detectors. To overcome this limitation,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-20 Alina Ciocarlan , Sylvie Le Hégarat-Mascle , Sidonie Lefebvre

The data-driven method for infrared small target detection (IRSTD) has achieved promising results. However, due to the small scale of infrared small target datasets and the limited number of pixels occupied by the targets themselves, it is…

Computer Vision and Pattern Recognition · Computer Science 2024-11-21 Peichao Wang , Jiabao Wang , Yao Chen , Rui Zhang , Yang Li , Zhuang Miao

Referring image segmentation aims to segment specific targets based on a natural text expression. Recently, parameter-efficient tuning (PET) has emerged as a promising paradigm. However, existing PET-based methods often suffer from the fact…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Shuo Jin , Siyue Yu , Bingfeng Zhang , Chao Yao , Meiqin Liu , Jimin Xiao

As an essential vision task, infrared small target detection (IRSTD) has seen significant advancements through deep learning. However, critical limitations in current evaluation protocols impede further progress. First, existing methods…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Youwei Pang , Xiaoqi Zhao , Lihe Zhang , Huchuan Lu , Georges El Fakhri , Xiaofeng Liu , Shijian Lu

Since the matrix formed by nonlocal similar patches in a natural image is of low rank, the nuclear norm minimization (NNM) has been widely used in various image processing studies. Nonetheless, nuclear norm based convex surrogate of the…

Computer Vision and Pattern Recognition · Computer Science 2017-06-28 Zhiyuan Zha , Xinggan Zhang , Yu Wu , Qiong Wang , Lan Tang

Multi-frame infrared small target (MIRST) detection in satellite videos is a long-standing, fundamental yet challenging task for decades, and the challenges can be summarized as: First, extremely small target size, highly complex clutters &…

Computer Vision and Pattern Recognition · Computer Science 2025-02-21 Xinyi Ying , Li Liu , Zaipin Lin , Yangsi Shi , Yingqian Wang , Ruojing Li , Xu Cao , Boyang Li , Shilin Zhou , Wei An

Recent advances in unsupervised domain adaptation have significantly improved the recognition accuracy of CNNs by alleviating the domain shift between (labeled) source and (unlabeled) target data distributions. While the problem of…

Computer Vision and Pattern Recognition · Computer Science 2022-05-13 Le Thanh Nguyen-Meidine , Madhu Kiran , Marco Pedersoli , Jose Dolz , Louis-Antoine Blais-Morin , Eric Granger

Low-rank Deconvolution (LRD) has appeared as a new multi-dimensional representation model that enjoys important efficiency and flexibility properties. In this work we ask ourselves if this analytical model can compete against Deep Learning…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 David Reixach , Josep Ramon Morros

Anomaly detection in spatiotemporal data is a challenging problem encountered in a variety of applications, including video surveillance, medical imaging data, and urban traffic monitoring. Existing anomaly detection methods focus mainly on…

Machine Learning · Computer Science 2025-10-02 Rachita Mondal , Mert Indibi , Tapabrata Maiti , Selin Aviyente

This work presents an approach to category-based action recognition in video using sparse coding techniques. The proposed approach includes two main contributions: i) A new method to handle intra-class variations by decomposing each video…

Computer Vision and Pattern Recognition · Computer Science 2016-05-12 Anali Alfaro , Domingo Mery , Alvaro Soto