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Recurrent Neural Networks (RNNs) have been widely used in sequence analysis and modeling. However, when processing high-dimensional data, RNNs typically require very large model sizes, thereby bringing a series of deployment challenges.…

机器学习 · 计算机科学 2020-05-12 Miao Yin , Siyu Liao , Xiao-Yang Liu , Xiaodong Wang , Bo Yuan

This paper proposes low tensor-train (TT) rank and low multilinear (ML) rank approximations for de-speckling and compression of 3D optical coherence tomography (OCT) images for a given compression ratio (CR). To this end, we derive the…

数值分析 · 数学 2020-08-31 Ivica Kopriva , Fei Shi , Mingying Lai , Marija Štanfel , Haoyu Chen , Xinjian Chen

The block-term tensor decomposition model with multilinear rank-$(L_r,L_r,1)$ terms (or, the "LL1 tensor decomposition" in short) offers a valuable alternative for hyperspectral unmixing (HU) under the linear mixture model. Particularly,…

信号处理 · 电气工程与系统科学 2022-05-10 Meng Ding , Xiao Fu , Xi-Le Zhao

We study extensions of compressive sensing and low rank matrix recovery (matrix completion) to the recovery of low rank tensors of higher order from a small number of linear measurements. While the theoretical understanding of low rank…

信息论 · 计算机科学 2016-02-18 Holger Rauhut , Reinhold Schneider , Zeljka Stojanac

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…

数值分析 · 计算机科学 2018-05-23 Longhao Yuan , Chao Li , Danilo Mandic , Jianting Cao , Qibin Zhao

Dimensionality reduction (DR) methods have attracted extensive attention to provide discriminative information and reduce the computational burden of the hyperspectral image (HSI) classification. However, the DR methods face many challenges…

计算机视觉与模式识别 · 计算机科学 2018-12-20 Ramanarayan Mohanty , S L Happy , Aurobinda Routray

In this work we address the subspace recovery problem. Given a set of data samples (vectors) approximately drawn from a union of multiple subspaces, our goal is to segment the samples into their respective subspaces and correct the possible…

信息论 · 计算机科学 2013-01-29 Guangcan Liu , Zhouchen Lin , Shuicheng Yan , Ju Sun , Yong Yu , Yi Ma

The deployment of pixel-based antennas and fluid antenna systems (FAS) is hindered by prohibitive channel state information (CSI) acquisition overhead. While radio maps enable proactive mode selection, reconstructing high-fidelity maps from…

信号处理 · 电气工程与系统科学 2026-02-06 Mu Jia , Hao Sun , Junting Chen , Pooi-Yuen Kam

Currently, existing tensor recovery methods fail to recognize the impact of tensor scale variations on their structural characteristics. Furthermore, existing studies face prohibitive computational costs when dealing with large-scale…

机器学习 · 计算机科学 2025-07-09 Wenjin Qin , Hailin Wang , Jingyao Hou , Jianjun Wang

This paper aims at developing a clustering approach with spectral images directly from the compressive measurements of coded aperture snapshot spectral imager (CASSI). Assuming that compressed measurements often lie approximately in low…

图像与视频处理 · 电气工程与系统科学 2020-09-30 Jianchen Zhu

Low-rank signal modeling has been widely leveraged to capture non-local correlation in image processing applications. We propose a new method that employs low-rank tensor factor analysis for tensors generated by grouped image patches. The…

计算机视觉与模式识别 · 计算机科学 2018-03-20 Xinyuan Zhang , Xin Yuan , Lawrence Carin

The problem of low-tubal-rank tensor estimation is a fundamental task with wide applications across high-dimensional signal processing, machine learning, and image science. Traditional approaches tackle such a problem by performing tensor…

机器学习 · 计算机科学 2025-12-24 Zhiyu Liu , Zhi Han , Yandong Tang , Jun Fan , Yao Wang

Hyperspectral unmixing allows representing mixed pixels as a set of pure materials weighted by their abundances. Spectral features alone are often insufficient, so it is common to rely on other features of the scene. Matrix models become…

图像与视频处理 · 电气工程与系统科学 2023-10-09 Mohamad Jouni , Mauro Dalla Mura , Lucas Drumetz , Pierre Comon

We propose a neural network for unsupervised anomaly detection with a novel robust subspace recovery layer (RSR layer). This layer seeks to extract the underlying subspace from a latent representation of the given data and removes outliers…

机器学习 · 计算机科学 2022-01-19 Chieh-Hsin Lai , Dongmian Zou , Gilad Lerman

In this paper, we present a novel low rank representation (LRR) algorithm for data lying on the manifold of square root densities. Unlike traditional LRR methods which rely on the assumption that the data points are vectors in the Euclidean…

计算机视觉与模式识别 · 计算机科学 2015-08-19 Yifan Fu , Junbin Gao , Xia Hong , David Tien

With the advances in data acquisition technology, tensor objects are collected in a variety of applications including multimedia, medical and hyperspectral imaging. As the dimensionality of tensor objects is usually very high,…

图像与视频处理 · 电气工程与系统科学 2019-11-06 Seyyid Emre Sofuoglu , Selin Aviyente

Spatial-Spectral Total Variation (SSTV) can quantify local smoothness of image structures, so it is widely used in hyperspectral image (HSI) processing tasks. Essentially, SSTV assumes a sparse structure of gradient maps calculated along…

计算机视觉与模式识别 · 计算机科学 2022-04-28 Haijin Zeng , Shaoguang Huang , Yongyong Chen , Hiep Luong , Wilfried Philips

Non-local low-rank tensor approximation has been developed as a state-of-the-art method for hyperspectral image (HSI) denoising. Unfortunately, with more spectral bands for HSI, while the running time of these methods significantly…

计算机视觉与模式识别 · 计算机科学 2019-03-28 Wei He , Quanming Yao , Chao Li , Naoto Yokoya , Qibin Zhao

Non-local low-rank tensor approximation has been developed as a state-of-the-art method for hyperspectral image (HSI) restoration, which includes the tasks of denoising, compressed HSI reconstruction and inpainting. Unfortunately, while its…

图像与视频处理 · 电气工程与系统科学 2020-10-27 Wei He , Quanming Yao , Chao Li , Naoto Yokoya , Qibin Zhao , Hongyan Zhang , Liangpei Zhang

As a 3-order tensor, a multi-spectral image (MSI) has dozens of spectral bands, which can deliver more information for real scenes. However, real MSIs are often corrupted by noises in the sensing process, which will further deteriorate the…

图像与视频处理 · 电气工程与系统科学 2018-12-10 Xiao Gong , Wei Chen