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In this paper, we address the multi-view subspace clustering problem. Our method utilizes the circulant algebra for tensor, which is constructed by stacking the subspace representation matrices of different views and then rotating, to…

Computer Vision and Pattern Recognition · Computer Science 2017-08-15 Yuan Xie , Dacheng Tao , Wensheng Zhang , Lei Zhang , Yan Liu , Yanyun Qu

Low-rank tensor estimation offers a powerful approach to addressing high-dimensional data challenges and can substantially improve solutions to ill-posed inverse problems, such as image reconstruction under noisy or undersampled conditions.…

Machine Learning · Computer Science 2025-02-06 Anh Van Nguyen , Diego Klabjan , Minseok Ryu , Kibaek Kim , Zichao Di

We consider the problem of low-rank decomposition of incomplete multiway tensors. Since many real-world data lie on an intrinsically low dimensional subspace, tensor low-rank decomposition with missing entries has applications in many data…

Numerical Analysis · Computer Science 2016-08-24 Linxiao Yang , Jun Fang , Hongbin Li , Bing Zeng

This paper explores the problem of multi-view spectral clustering (MVSC) based on tensor low-rank modeling. Unlike the existing methods that all adopt an off-the-shelf tensor low-rank norm without considering the special characteristics of…

Machine Learning · Computer Science 2020-08-04 Yuheng Jia , Hui Liu , Junhui Hou , Sam Kwong , Qingfu Zhang

Tensors or multiarray data are generalizations of matrices. Tensor clustering has become a very important research topic due to the intrinsically rich structures in real-world multiarray datasets. Subspace clustering based on vectorizing…

Computer Vision and Pattern Recognition · Computer Science 2015-04-30 Yanfeng Sun , Junbin Gao , Xia Hong , Bamdev Mishra , Baocai Yin

The plenty information from multiple views data as well as the complementary information among different views are usually beneficial to various tasks, e.g., clustering, classification, de-noising. Multi-view subspace clustering is based on…

Computer Vision and Pattern Recognition · Computer Science 2016-09-02 Ming Yin , Junbin Gao , Shengli Xie , Yi Guo

In many real-world applications, data are often unlabeled and comprised of different representations/views which often provide information complementary to each other. Although several multi-view clustering methods have been proposed, most…

Machine Learning · Computer Science 2018-10-19 Lifang He , Chun-ta Lu , Yong Chen , Jiawei Zhang , Linlin Shen , Philip S. Yu , Fei Wang

Most recently, tensor-SVD is implemented on multi-view self-representation clustering and has achieved the promising results in many real-world applications such as face clustering, scene clustering and generic object clustering. However,…

Computer Vision and Pattern Recognition · Computer Science 2017-09-18 Yanyun Qu , Jinyan Liu , Yuan Xie , Wensheng Zhang

Tensor completion refers to the task of estimating the missing data from an incomplete measurement or observation, which is a core problem frequently arising from the areas of big data analysis, computer vision, and network engineering. Due…

Machine Learning · Computer Science 2021-05-21 Chenjian Pan , Chen Ling , Hongjin He , Liqun Qi , Yanwei Xu

Tensor-based multi-view subspace clustering (MSC) can capture high-order correlation in the self-representation tensor. Current tensor decompositions for MSC suffer from highly unbalanced unfolding matrices or rotation sensitivity, failing…

Computer Vision and Pattern Recognition · Computer Science 2023-05-17 Zhen Long , Ce Zhu , Jie Chen , Zihan Li , Yazhou Ren , Yipeng Liu

Multi-view clustering attracts much attention recently, which aims to take advantage of multi-view information to improve the performance of clustering. However, most recent work mainly focus on self-representation based subspace…

Computer Vision and Pattern Recognition · Computer Science 2019-10-02 Jianlong Wu , Zhouchen Lin , Hongbin Zha

In tensor completion tasks, the traditional low-rank tensor decomposition models suffer from the laborious model selection problem due to their high model sensitivity. In particular, for tensor ring (TR) decomposition, the number of model…

Machine Learning · Computer Science 2018-12-03 Longhao Yuan , Chao Li , Danilo Mandic , Jianting Cao , Qibin Zhao

Accurate channel state information (CSI) prediction is crucial for next-generation multiple-input multiple-output (MIMO) communication systems. Classical prediction methods often become inefficient for high-dimensional and rapidly…

Information Theory · Computer Science 2026-03-17 Irina Kopnina , Dmitry Artemasov , Sergey Matveev

In this paper we propose novel methods for compression and recovery of multilinear data under limited sampling. We exploit the recently proposed tensor- Singular Value Decomposition (t-SVD)[1], which is a group theoretic framework for…

Information Theory · Computer Science 2013-11-01 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

Multi-view clustering (MVC) has been extensively studied to collect multiple source information in recent years. One typical type of MVC methods is based on matrix factorization to effectively perform dimension reduction and clustering.…

Machine Learning · Computer Science 2021-05-11 Chen Zhang , Siwei Wang , Jiyuan Liu , Sihang Zhou , Pei Zhang , Xinwang Liu , En Zhu , Changwang Zhang

Multi-view subspace clustering methods have employed learned self-representation tensors from different tensor decompositions to exploit low rank information. However, the data structures embedded with self-representation tensors may vary…

Computer Vision and Pattern Recognition · Computer Science 2023-05-02 Yipeng Liu , Yingcong Lu , Weiting Ou , Zhen Long , Ce Zhu

Many applications in data science and scientific computing involve large-scale datasets that are expensive to store and compute with, but can be efficiently compressed and stored in an appropriate tensor format. In recent years, randomized…

Numerical Analysis · Mathematics 2019-05-20 Rachel Minster , Arvind K. Saibaba , Misha E. Kilmer

The widespread use of multisensor technology and the emergence of big datasets have created the need to develop tools to reduce, approximate, and classify large and multimodal data such as higher-order tensors. While early approaches…

Numerical Analysis · Computer Science 2018-07-03 Alp Ozdemir , Ali Zare , Mark A. Iwen , Selin Aviyente

A new submodule clustering method via sparse and low-rank representation for multi-way data is proposed in this paper. Instead of reshaping multi-way data into vectors, this method maintains their natural orders to preserve data intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2016-09-29 Xinglin Piao , Yongli Hu , Junbin Gao , Yanfeng Sun , Zhouchen Lin , Baocai Yin

In recent years, low-rank tensor completion (LRTC) has received considerable attention due to its applications in image/video inpainting, hyperspectral data recovery, etc. With different notions of tensor rank (e.g., CP, Tucker, tensor…

Machine Learning · Statistics 2020-10-30 Yunfeng Cai , Ping Li
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