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Low rank representation (LRR) has recently attracted great interest due to its pleasing efficacy in exploring low-dimensional sub- space structures embedded in data. One of its successful applications is subspace clustering, by which data…

Computer Vision and Pattern Recognition · Computer Science 2016-01-12 Boyue Wang , Yongli Hu , Junbin Gao , Yanfeng Sun , Baocai Yin

Many computer vision algorithms employ subspace models to represent data. The Low-rank representation (LRR) has been successfully applied in subspace clustering for which data are clustered according to their subspace structures. The…

Computer Vision and Pattern Recognition · Computer Science 2015-04-09 Boyue Wang , Yongli Hu , Junbin Gao , Yanfeng Sun , Baocai Yin

Subspace data representation has recently become a common practice in many computer vision tasks. It demands generalizing classical machine learning algorithms for subspace data. Low-Rank Representation (LRR) is one of the most successful…

Computer Vision and Pattern Recognition · Computer Science 2017-05-19 Boyue Wang , Yongli Hu , Junbin Gao , Yanfeng Sun , Baocai Yin

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…

Computer Vision and Pattern Recognition · Computer Science 2015-08-19 Yifan Fu , Junbin Gao , Xia Hong , David Tien

Low-Rank Representation (LRR) is arguably one of the most powerful paradigms for Multi-view spectral clustering, which elegantly encodes the multi-view local graph/manifold structures into an intrinsic low-rank self-expressive data…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Yang Wang , Lin Wu

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

As a significant subspace clustering method, low rank representation (LRR) has attracted great attention in recent years. To further improve the performance of LRR and extend its applications, there are several issues to be resolved. The…

Computer Vision and Pattern Recognition · Computer Science 2017-05-01 Boyue Wang , Yongli Hu , Junbin Gao , Yanfeng Sun , Baocai Yin

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

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

In this paper, we propose a low-rank representation with symmetric constraint (LRRSC) method for robust subspace clustering. Given a collection of data points approximately drawn from multiple subspaces, the proposed technique can…

Computer Vision and Pattern Recognition · Computer Science 2017-05-16 Jie Chen , Hua Mao , Yongsheng Sang , Zhang Yi

Reformulating computer vision problems over Riemannian manifolds has demonstrated superior performance in various computer vision applications. This is because visual data often forms a special structure lying on a lower dimensional space…

Computer Vision and Pattern Recognition · Computer Science 2015-09-21 Kun Zhao , Azadeh Alavi , Arnold Wiliem , Brian C. Lovell

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

In machine learning it is common to interpret each data point as a vector in Euclidean space. However the data may actually be functional i.e.\ each data point is a function of some variable such as time and the function is discretely…

Computer Vision and Pattern Recognition · Computer Science 2016-01-07 Stephen Tierney , Junbin Gao , Yi Guo , Zhengwu Zhang

In this paper, we present a kernel subspace clustering method that can handle non-linear models. In contrast to recent kernel subspace clustering methods which use predefined kernels, we propose to learn a low-rank kernel matrix, with which…

Computer Vision and Pattern Recognition · Computer Science 2019-01-28 Pan Ji , Ian Reid , Ravi Garg , Hongdong Li , Mathieu Salzmann

In multi-camera video surveillance, it is challenging to represent videos from different cameras properly and fuse them efficiently for specific applications such as human activity recognition and clustering. In this paper, a novel…

Computer Vision and Pattern Recognition · Computer Science 2016-06-14 Boyue Wang , Yongli Hu , Junbin Gao , Yanfeng Sun , Baocai Yin

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 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

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

We consider the problem of simultaneously clustering and learning a linear representation of data lying close to a union of low-dimensional manifolds, a fundamental task in machine learning and computer vision. When the manifolds are…

Machine Learning · Computer Science 2023-08-25 Tianjiao Ding , Shengbang Tong , Kwan Ho Ryan Chan , Xili Dai , Yi Ma , Benjamin D. Haeffele

This paper advocates a novel framework for segmenting a dataset in a Riemannian manifold $M$ into clusters lying around low-dimensional submanifolds of $M$. Important examples of $M$, for which the proposed clustering algorithm is…

Machine Learning · Statistics 2014-10-02 Xu Wang , Konstantinos Slavakis , Gilad Lerman
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