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Related papers: Subspace clustering using a symmetric low-rank rep…

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We propose a symmetric low-rank representation (SLRR) method for subspace clustering, which assumes that a data set is approximately drawn from the union of multiple subspaces. The proposed technique can reveal the membership of multiple…

Computer Vision and Pattern Recognition · Computer Science 2015-11-24 Jie Chen , Haixian Zhang , Hua Mao , Yongsheng Sang , Zhang Yi

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…

Image and Video Processing · Electrical Eng. & Systems 2020-09-30 Jianchen Zhu

Subspace clustering refers to the problem of segmenting a set of data points approximately drawn from a union of multiple linear subspaces. Aiming at the subspace clustering problem, various subspace clustering algorithms have been proposed…

Computer Vision and Pattern Recognition · Computer Science 2016-10-17 Yu Song , Yiquan Wu

We propose a low-rank transformation-learning framework to robustify subspace clustering. Many high-dimensional data, such as face images and motion sequences, lie in a union of low-dimensional subspaces. The subspace clustering problem has…

Computer Vision and Pattern Recognition · Computer Science 2013-08-02 Qiang Qiu , Guillermo Sapiro

Low-rank learning has attracted much attention recently due to its efficacy in a rich variety of real-world tasks, e.g., subspace segmentation and image categorization. Most low-rank methods are incapable of capturing low-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2016-11-16 Ping Li , Jun Yu , Meng Wang , Luming Zhang , Deng Cai , Xuelong Li

In many real-world problems, we are dealing with collections of high-dimensional data, such as images, videos, text and web documents, DNA microarray data, and more. Often, high-dimensional data lie close to low-dimensional structures…

Computer Vision and Pattern Recognition · Computer Science 2013-02-06 Ehsan Elhamifar , Rene Vidal

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…

Information Theory · Computer Science 2013-01-29 Guangcan Liu , Zhouchen Lin , Shuicheng Yan , Ju Sun , Yong Yu , Yi Ma

The self-expressive property of data points, i.e., each data point can be linearly represented by the other data points in the same subspace, has proven effective in leading subspace clustering methods. Most self-expressive methods usually…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Jun Xu , Mengyang Yu , Ling Shao , Wangmeng Zuo , Deyu Meng , Lei Zhang , David Zhang

In this letter, we propose a novel semi-supervised subspace clustering method, which is able to simultaneously augment the initial supervisory information and construct a discriminative affinity matrix. By representing the limited amount of…

Computer Vision and Pattern Recognition · Computer Science 2023-01-05 Yuheng Jia , Guanxing Lu , Hui Liu , Junhui Hou

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

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

Computer Vision and Pattern Recognition · Computer Science 2014-03-11 Qiang Qiu , Guillermo Sapiro

Subspace clustering aims to group data points into multiple clusters of which each corresponds to one subspace. Most existing subspace clustering approaches assume that input data lie on linear subspaces. In practice, however, this…

Computer Vision and Pattern Recognition · Computer Science 2020-03-30 Liangli Zhen , Dezhong Peng , Wei Wang , Xin Yao

Subspace clustering refers to the task of finding a multi-subspace representation that best fits a collection of points taken from a high-dimensional space. This paper introduces an algorithm inspired by sparse subspace clustering (SSC) [In…

Machine Learning · Computer Science 2014-05-26 Mahdi Soltanolkotabi , Ehsan Elhamifar , Emmanuel J. Candès

In many applications, high-dimensional data points can be well represented by low-dimensional subspaces. To identify the subspaces, it is important to capture a global and local structure of the data which is achieved by imposing low-rank…

Machine Learning · Computer Science 2018-12-18 Maria Brbić , Ivica Kopriva

We propose a method to reconstruct and cluster incomplete high-dimensional data lying in a union of low-dimensional subspaces. Exploring the sparse representation model, we jointly estimate the missing data while imposing the intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 João Carvalho , Manuel Marques , João P. Costeira

Most existing approaches address multi-view subspace clustering problem by constructing the affinity matrix on each view separately and afterwards propose how to extend spectral clustering algorithm to handle multi-view data. This paper…

Computer Vision and Pattern Recognition · Computer Science 2017-08-30 Maria Brbic , Ivica Kopriva

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

This paper studies the subspace clustering problem. Given some data points approximately drawn from a union of subspaces, the goal is to group these data points into their underlying subspaces. Many subspace clustering methods have been…

Computer Vision and Pattern Recognition · Computer Science 2018-05-24 Canyi Lu , Jiashi Feng , Zhouchen Lin , Tao Mei , Shuicheng Yan

Recently there is a line of research work proposing to employ Spectral Clustering (SC) to segment (group){Throughout the paper, we use segmentation, clustering, and grouping, and their verb forms, interchangeably.} high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2010-10-11 Yuzhao Ni , Ju Sun , Xiaotong Yuan , Shuicheng Yan , Loong-Fah Cheong

Low-rank representation~(LRR) has been a significant method for segmenting data that are generated from a union of subspaces. It is, however, known that solving the LRR program is challenging in terms of time complexity and memory…

Machine Learning · Statistics 2017-10-24 Jie Shen , Ping Li , Huan Xu
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