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Graph-based multi-view spectral clustering methods have achieved notable progress recently, yet they often fall short in either oversimplifying pairwise relationships or struggling with inefficient spectral decompositions in…

Machine Learning · Computer Science 2025-11-14 Murong Yang , Shihui Ying , Xin-Jian Xu , Yue Gao

Subspace clustering is an important unsupervised clustering approach. It is based on the assumption that the high-dimensional data points are approximately distributed around several low-dimensional linear subspaces. The majority of the…

Machine Learning · Computer Science 2021-12-20 Maryam Abdolali , Nicolas Gillis

It is a key to construct a similarity graph in graph-oriented subspace learning and clustering. In a similarity graph, each vertex denotes a data point and the edge weight represents the similarity between two points. There are two popular…

Machine Learning · Computer Science 2017-05-17 Liangli Zhen , Zhang Yi , Xi Peng , Dezhong Peng

Multi-view spectral clustering, which aims at yielding an agreement or consensus data objects grouping across multi-views with their graph laplacian matrices, is a fundamental clustering problem. Among the existing methods, Low-Rank…

Machine Learning · Computer Science 2016-08-22 Yang Wang , Wenjie Zhang , Lin Wu , Xuemin Lin , Meng Fang , Shirui Pan

Subspace clustering and feature extraction are two of the most commonly used unsupervised learning techniques in computer vision and pattern recognition. State-of-the-art techniques for subspace clustering make use of recent advances in…

Computer Vision and Pattern Recognition · Computer Science 2012-04-18 Risheng Liu , Zhouchen Lin , Fernando De la Torre , Zhixun Su

Representations that can compactly and effectively capture the temporal evolution of semantic content are important to computer vision and machine learning algorithms that operate on multi-variate time-series data. We investigate such…

Computer Vision and Pattern Recognition · Computer Science 2018-03-30 Anoop Cherian , Suvrit Sra , Stephen Gould , Richard Hartley

Subspace clustering methods have been widely studied recently. When the inputs are 2-dimensional (2D) data, existing subspace clustering methods usually convert them into vectors, which severely damages inherent structures and relationships…

Computer Vision and Pattern Recognition · Computer Science 2020-11-04 Chong Peng , Qian Zhang , Zhao Kang , Chenglizhao Chen , Qiang Cheng

Vision problems ranging from image clustering to motion segmentation to semi-supervised learning can naturally be framed as subspace segmentation problems, in which one aims to recover multiple low-dimensional subspaces from noisy and…

Computer Vision and Pattern Recognition · Computer Science 2013-10-17 Ameet Talwalkar , Lester Mackey , Yadong Mu , Shih-Fu Chang , Michael I. Jordan

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

In this paper, a novel unsupervised low-rank representation model, i.e., Auto-weighted Low-Rank Representation (ALRR), is proposed to construct a more favorable similarity graph (SG) for clustering. In particular, ALRR enhances the…

Machine Learning · Computer Science 2021-04-27 Zhiqiang Fu , Yao Zhao , Dongxia Chang , Xingxing Zhang , Yiming Wang

Low-rank structures play important role in recent advances of many problems in image science and data science. As a natural extension of low-rank structures for data with nonlinear structures, the concept of the low-dimensional manifold…

Computer Vision and Pattern Recognition · Computer Science 2017-02-10 Rongjie Lai , Jia Li

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

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

Sparse subspace clustering (SSC), as one of the most successful subspace clustering methods, has achieved notable clustering accuracy in computer vision tasks. However, SSC applies only to vector data in Euclidean space. As such, there is…

Computer Vision and Pattern Recognition · Computer Science 2016-03-08 Ming Yin , Yi Guo , Junbin Gao , Zhaoshui He , Shengli Xie

The joint optimization of representation learning and clustering in the embedding space has experienced a breakthrough in recent years. In spite of the advance, clustering with representation learning has been limited to flat-level…

Machine Learning · Computer Science 2019-03-26 Su-Jin Shin , Kyungwoo Song , Il-Chul Moon

In this paper we present Collaborative Low-Rank Subspace Clustering. Given multiple observations of a phenomenon we learn a unified representation matrix. This unified matrix incorporates the features from all the observations, thus…

Computer Vision and Pattern Recognition · Computer Science 2017-04-14 Stephen Tierney , Yi Guo , Junbin Gao

As a hot research topic, many multi-view clustering approaches are proposed over the past few years. Nevertheless, most existing algorithms merely take the consensus information among different views into consideration for clustering.…

Machine Learning · Computer Science 2022-11-09 Qinghai Zheng , Yu Zhang , Jihua Zhu , Zhongyu Li , Haoyu Tang , Shuangxun Ma

Collaborative representation-based classification (CRC) has demonstrated remarkable progress in the past few years because of its closed-form analytical solutions. However, the existing CRC methods are incapable of processing the nonlinear…

Computer Vision and Pattern Recognition · Computer Science 2022-01-25 Li Chu , Rui Wang , Xiao-Jun 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

Due to advancements in digital cameras, it is easy to gather multiple images (or videos) from an object under different conditions. Therefore, image-set classification has attracted more attention, and different solutions were proposed to…

Computer Vision and Pattern Recognition · Computer Science 2024-03-15 M. Mohammadi , M. Babai , M. H. F. Wilkinson