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Multi-view subspace clustering aims to discover the hidden subspace structures from multiple views for robust clustering, and has been attracting considerable attention in recent years. Despite significant progress, most of the previous…

Computer Vision and Pattern Recognition · Computer Science 2022-11-01 Xiaosha Cai , Dong Huang , Guang-Yu Zhang , Chang-Dong Wang

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

Multi-view subspace clustering has been applied to applications such as image processing and video surveillance, and has attracted increasing attention. Most existing methods learn view-specific self-representation matrices, and construct a…

Machine Learning · Computer Science 2020-08-26 Hong Tao , Chenping Hou , Yuhua Qian , Jubo Zhu , Dongyun Yi

In recent years, Multi-View Clustering (MVC) has attracted increasing attention for its potential to reduce the annotation burden associated with large datasets. The aim of MVC is to exploit the inherent consistency and complementarity…

Machine Learning · Computer Science 2024-07-12 Zhangci Xiong , Meng Cao

In recent years, we have witnessed a surge of interest in multi-view representation learning, which is concerned with the problem of learning representations of multi-view data. When facing multiple views that are highly related but sightly…

Machine Learning · Computer Science 2020-06-20 Xiangzhu Meng , Lin Feng , Huibing Wang

Tensor clustering has become an important topic, specifically in spatio-temporal modeling, due to its ability to cluster spatial modes (e.g., stations or road segments) and temporal modes (e.g., time of the day or day of the week). Our…

Methodology · Statistics 2024-04-09 Jiuyun Hu , Ziyue Li , Chen Zhang , Fugee Tsung , Hao Yan

An efficient, accurate and reliable approximation of a matrix by one of lower rank is a fundamental task in numerical linear algebra and signal processing applications. In this paper, we introduce a new matrix decomposition approach termed…

Numerical Analysis · Computer Science 2018-08-15 Maboud F. Kaloorazi , Rodrigo C. de Lamare

We propose a new algorithm for the computation of a singular value decomposition (SVD) low-rank approximation of a matrix in the Matrix Product Operator (MPO) format, also called the Tensor Train Matrix format. Our tensor network randomized…

Numerical Analysis · Mathematics 2017-07-26 Kim Batselier , Wenjian Yu , Luca Daniel , Ngai Wong

Multi-view clustering (MVC) has had significant implications in cross-modal representation learning and data-driven decision-making in recent years. It accomplishes this by leveraging the consistency and complementary information among…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Jiatai Wang , Zhiwei Xu , Xuewen Yang , Hailong Li , Bo Li , Xuying Meng

In this era of big data, data analytics and machine learning, it is imperative to find ways to compress large data sets such that intrinsic features necessary for subsequent analysis are not lost. The traditional workhorse for data…

Numerical Analysis · Mathematics 2020-01-03 Misha Kilmer , Lior Horesh , Haim Avron , Elizabeth Newman

This paper considers the problem of recovering a tensor with an underlying low-tubal-rank structure from a small number of corrupted linear measurements. Traditional approaches tackling such a problem require the computation of tensor…

Machine Learning · Computer Science 2025-01-13 Zhiyu Liu , Zhi Han , Yandong Tang , Xi-Le Zhao , Yao Wang

Incomplete multiview clustering (IMVC) has gained significant attention for its effectiveness in handling missing sample challenges across various views in real-world multiview clustering applications. Most IMVC approaches tackle this…

Machine Learning · Computer Science 2025-03-05 Jianyu Wang , Zhengqiao Zhao , Nicolas Dobigeon , Jingdong Chen

Multi-view clustering is a learning paradigm based on multi-view data. Since statistic properties of different views are diverse, even incompatible, few approaches implement multi-view clustering based on the concatenated features…

Machine Learning · Computer Science 2021-03-25 Qinghai Zheng , Jihua Zhu , Zhongyu Li , Shanmin Pang , Jun Wang , Yaochen Li

Nowadays, distributed smart cameras are deployed for a wide set of tasks in several application scenarios, ranging from object recognition, image retrieval, and forensic applications. Due to limited bandwidth in distributed systems,…

Computer Vision and Pattern Recognition · Computer Science 2017-06-02 Ali Taalimi , Alireza Rahimpour , Liu Liu , Hairong Qi

Low-rank approximation of images via singular value decomposition is well-received in the era of big data. However, singular value decomposition (SVD) is only for order-two data, i.e., matrices. It is necessary to flatten a higher order…

Machine Learning · Computer Science 2022-08-26 Liang Liao , Sen Lin , Lun Li , Xiuwei Zhang , Song Zhao , Yan Wang , Xinqiang Wang , Qi Gao , Jingyu Wang

Multi-view clustering aims at integrating complementary information from multiple heterogeneous views to improve clustering results. Existing multi-view clustering solutions can only output a single clustering of the data. Due to their…

Machine Learning · Computer Science 2019-11-27 Shaowei Wei , Jun Wang , Guoxian Yu , Carlotta , Xiangliang Zhang

In this paper, we propose a nested matrix-tensor model which extends the spiked rank-one tensor model of order three. This model is particularly motivated by a multi-view clustering problem in which multiple noisy observations of each data…

Machine Learning · Statistics 2023-06-01 Mohamed El Amine Seddik , Mastane Achab , Henrique Goulart , Merouane Debbah

Multi-view clustering (MvC) aims to integrate information from different views to enhance the capability of the model in capturing the underlying data structures. The widely used joint training paradigm in MvC is potentially not fully…

Computer Vision and Pattern Recognition · Computer Science 2025-02-05 Zhenglai Li , Jun Wang , Chang Tang , Xinzhong Zhu , Wei Zhang , Xinwang Liu

Tensor completion can estimate missing values of a high-order data from its partially observed entries. Recent works show that low rank tensor ring approximation is one of the most powerful tools to solve tensor completion problem. However,…

Numerical Analysis · Mathematics 2021-01-03 Abdul Ahad , Zhen Long , Ce Zhu , Yipeng Liu

This paper discusses clustering and latent semantic indexing (LSI) aspects of the singular value decomposition (SVD). The purpose of this paper is twofold. The first is to give an explanation on how and why the singular vectors can be used…

Machine Learning · Computer Science 2012-11-19 Andri Mirzal