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The ability of capturing fine spectral discriminative information enables hyperspectral images (HSIs) to observe, detect and identify objects with subtle spectral discrepancy. However, the captured HSIs may not represent true distribution…

Image and Video Processing · Electrical Eng. & Systems 2022-05-19 Na Liu , Wei Li , Yinjian Wang , Rao Tao , Qian Du , Jocelyn Chanussot

Hyperspectral unmixing (HU) is a very useful and increasingly popular preprocessing step for a wide range of hyperspectral applications. However, the HU research has been constrained a lot by three factors: (a) the number of hyperspectral…

Computer Vision and Pattern Recognition · Computer Science 2017-10-12 Feiyun Zhu

This paper presents an uncalibrated deep neural network framework for the photometric stereo problem. For training models to solve the problem, existing neural network-based methods either require exact light directions or ground-truth…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Berk Kaya , Suryansh Kumar , Carlos Oliveira , Vittorio Ferrari , Luc Van Gool

This paper investigates recovery of an undamped spectrally sparse signal and its spectral components from a set of regularly spaced samples within the framework of spectral compressed sensing and super-resolution. We show that the existing…

Information Theory · Computer Science 2021-01-19 Zai Yang , Xunmeng Wu

Despite the great success of deep model on Hyperspectral imagery (HSI) super-resolution(SR) for simulated data, most of them function unsatisfactory when applied to the real data, especially for unsupervised HSI SR methods. One of the main…

Image and Video Processing · Electrical Eng. & Systems 2020-12-04 Jiangtao Nie , Lei Zhang , Wei Wei , Zhiqiang Lang , Yanning Zhang

Low-Rank Representation (LRR) highly suffers from discarding the locality information of data points in subspace clustering, as it may not incorporate the data structure nonlinearity and the non-uniform distribution of observations over the…

Machine Learning · Computer Science 2022-03-09 Eysan Mehrbani , Mohammad Hossein Kahaei , Seyed Aliasghar Beheshti

Low-rank matrix regression is a fundamental problem in data science with various applications in systems and control. Nuclear norm regularization has been widely applied to solve this problem due to its convexity. However, it suffers from…

Systems and Control · Electrical Eng. & Systems 2025-06-04 Mingzhou Yin , Matthias A. Müller

Tensor methods are among the most prominent tools for the numerical solution of high-dimensional problems where functions of multiple variables have to be approximated. These methods exploit the tensor structure of function spaces and apply…

Numerical Analysis · Mathematics 2021-02-01 Anthony Nouy

Tensors in the form of multilinear arrays are ubiquitous in data science applications. Captured real-world data, including video, hyperspectral images, and discretized physical systems, naturally occur as tensors and often come with…

Machine Learning · Computer Science 2023-03-13 Jonathan Gryak , Kayvan Najarian , Harm Derksen

Low-rank tensor representation (LRTR) has emerged as a powerful tool for multi-dimensional data processing. However, classical LRTR-based methods face two critical limitations: (1) they typically assume that the holistic data is low-rank,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Zhizhou Wang , Jianli Wang , Ruijing Zheng , Zhenyu Wu

Spectral unmixing (SU) expresses the mixed pixels existed in hyperspectral images as the product of endmember and abundance, which has been widely used in hyperspectral imagery analysis. However, the influence of light, acquisition…

Image and Video Processing · Electrical Eng. & Systems 2022-06-27 Ge Zhang , Shaohui Mei , Mingyang Ma , Yan Feng , Qian Du

Modeling hyperspectral imagery (HSI) across different sensors presents a fundamental challenge due to variations in wavelength coverage, band sampling, and channel dimensionality. As a result, models trained under a fixed spectral…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Haozhe Si , Yuxuan Wan , Yuqing Wang , Minh Do , Han Zhao

Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

Machine Learning · Computer Science 2016-06-13 Furong Huang

Latent variable models with hidden binary units appear in various applications. Learning such models, in particular in the presence of noise, is a challenging computational problem. In this paper we propose a novel spectral approach to this…

Machine Learning · Statistics 2018-02-28 Ariel Jaffe , Roi Weiss , Shai Carmi , Yuval Kluger , Boaz Nadler

Neural Radiance Field (NeRF)-based segmentation methods focus on object semantics and rely solely on RGB data, lacking intrinsic material properties. This limitation restricts accurate material perception, which is crucial for robotics,…

Image and Video Processing · Electrical Eng. & Systems 2025-08-07 Fabian Perez , Sara Rojas , Carlos Hinojosa , Hoover Rueda-Chacón , Bernard Ghanem

Tensor completion can estimate missing values of a high-order data from its partially observed entries. Recent works show that low rank tensor ring approximation is one of the most powerful tools to solve tensor completion problem. However,…

Numerical Analysis · Mathematics 2021-01-03 Abdul Ahad , Zhen Long , Ce Zhu , Yipeng Liu

This paper describes a flexible framework for generalized low-rank tensor estimation problems that includes many important instances arising from applications in computational imaging, genomics, and network analysis. The proposed estimator…

Statistics Theory · Mathematics 2021-02-08 Rungang Han , Rebecca Willett , Anru R. Zhang

In low-rank tensor completion tasks, due to the underlying multiple large-scale singular value decomposition (SVD) operations and rank selection problem of the traditional methods, they suffer from high computational cost and high…

Numerical Analysis · Computer Science 2018-05-23 Longhao Yuan , Chao Li , Danilo Mandic , Jianting Cao , Qibin Zhao

The development of signal unmixing algorithms is essential for leveraging multimodal datasets acquired through a wide array of scientific imaging technologies, including hyperspectral or time-resolved acquisitions. In experimental physics,…

Several bandwise total variation (TV) regularized low-rank (LR)-based models have been proposed to remove mixed noise in hyperspectral images (HSIs). Conventionally, the rank of LR matrix is approximated using nuclear norm (NN). The NN is…

Computer Vision and Pattern Recognition · Computer Science 2020-05-11 Haijin Zeng , Xiaozhen Xie , Jifeng Ning