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We introduce a tensor-based clustering method to extract sparse, low-dimensional structure from high-dimensional, multi-indexed datasets. This framework is designed to enable detection of clusters of data in the presence of structural…

定量方法 · 定量生物学 2019-02-11 Anna Seigal , Mariano Beguerisse-Díaz , Birgit Schoeberl , Mario Niepel , Heather A. Harrington

Anchor-based multi-view clustering (MVC) has received extensive attention due to its efficient performance. Existing methods only focus on how to dynamically learn anchors from the original data and simultaneously construct anchor graphs…

计算机视觉与模式识别 · 计算机科学 2024-12-24 Yawei Chen , Huibing Wang , Jinjia Peng , Yang Wang

Recently, low-rank tensor completion has become increasingly attractive in recovering incomplete visual data. Considering a color image or video as a three-dimensional (3D) tensor, existing studies have put forward several definitions of…

计算机视觉与模式识别 · 计算机科学 2019-01-09 Shengke Xue , Wenyuan Qiu , Fan Liu , Xinyu Jin

The recently proposed tensor robust principal component analysis (TRPCA) methods based on tensor singular value decomposition (t-SVD) have achieved numerous successes in many fields. However, most of these methods are only applicable to…

机器学习 · 计算机科学 2023-11-13 Jianan Liu , Chunguang Li

In real-world scenarios, complex data such as multispectral images and multi-frame videos inherently exhibit robust low-rank property. This property is vital for multi-dimensional inverse problems, such as tensor completion, spectral…

计算机视觉与模式识别 · 计算机科学 2024-12-17 Xiangming Wang , Haijin Zeng , Jiaoyang Chen , Sheng Liu , Yongyong Chen , Guoqing Chao

Multi-view clustering (MVC) aims to integrate complementary information from multiple views to enhance clustering performance. Late Fusion Multi-View Clustering (LFMVC) has shown promise by synthesizing diverse clustering results into a…

机器学习 · 计算机科学 2024-12-25 Liang Du , Henghui Jiang , Xiaodong Li , Yiqing Guo , Yan Chen , Feijiang Li , Peng Zhou , Yuhua Qian

Multi-view data analysis has gained increasing popularity because multi-view data are frequently encountered in machine learning applications. A simple but promising approach for clustering of multi-view data is multi-view clustering (MVC),…

机器学习 · 计算机科学 2020-12-01 Mitsuhiko Horie , Hiroyuki Kasai

Spectral clustering is a celebrated algorithm that partitions objects based on pairwise similarity information. While this approach has been successfully applied to a variety of domains, it comes with limitations. The reason is that there…

统计理论 · 数学 2018-05-24 Kwangjun Ahn , Kangwook Lee , Changho Suh

Multi-view clustering has gained broad attention owing to its capacity to exploit complementary information across multiple data views. Although existing methods demonstrate delightful clustering performance, most of them are of high time…

机器学习 · 计算机科学 2023-03-06 Xinhang Wan , Xinwang Liu , Jiyuan Liu , Siwei Wang , Yi Wen , Weixuan Liang , En Zhu , Zhe Liu , Lu Zhou

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…

计算机视觉与模式识别 · 计算机科学 2016-11-16 Ping Li , Jun Yu , Meng Wang , Luming Zhang , Deng Cai , Xuelong Li

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…

数值分析 · 计算机科学 2016-08-24 Linxiao Yang , Jun Fang , Hongbin Li , Bing Zeng

Tensor completion is a challenging problem with various applications. Many related models based on the low-rank prior of the tensor have been proposed. However, the low-rank prior may not be enough to recover the original tensor from the…

数值分析 · 数学 2019-11-20 Ping-Ping Wang , Liang Li , Guang-Hui Cheng

Spectral-based subspace clustering methods have proved successful in many challenging applications such as gene sequencing, image recognition, and motion segmentation. In this work, we first propose a novel spectral-based subspace…

机器学习 · 统计学 2021-06-09 Hankui Peng , Nicos G. Pavlidis

In this paper, we introduce a Fast and Scalable Semi-supervised Multi-view Subspace Clustering (FSSMSC) method, a novel solution to the high computational complexity commonly found in existing approaches. FSSMSC features linear…

机器学习 · 计算机科学 2024-08-13 Huaming Ling , Chenglong Bao , Jiebo Song , Zuoqiang Shi

Data is increasingly being collected from multiple sources and described by multiple views. These multi-view data provide richer information than traditional single-view data. Fusing the former for specific tasks is an essential component…

计算机视觉与模式识别 · 计算机科学 2023-11-23 Yasser Khalafaoui , Basarab Matei , Nistor Grozavu , Martino Lovisetto

Multiview learning (MVL) seeks to leverage the benefits of diverse perspectives to complement each other, effectively extracting and utilizing the latent information within the dataset. Several twin support vector machine-based MVL (MvTSVM)…

机器学习 · 计算机科学 2024-08-13 A. Quadir , M. Tanveer

This work presents a comprehensive understanding of the estimation of a planted low-rank signal from a general spiked tensor model near the computational threshold. Relying on standard tools from the theory of large random matrices, we…

机器学习 · 统计学 2025-01-15 Hugo Lebeau , Florent Chatelain , Romain Couillet

In this work, a cut high-dimensional model representation (cut-HDMR) expansion based on multiple anchors is constructed via the clustering method. Specifically, a set of random input realizations is drawn from the parameter space and…

数值分析 · 数学 2025-02-07 Meixin Xiong , Liuhong Chen , Ju Ming , Xingchen Pan , Xinyu Yan

Many problems can be formulated as recovering a low-rank tensor. Although an increasingly common task, tensor recovery remains a challenging problem because of the delicacy associated with the decomposition of higher order tensors. To…

机器学习 · 统计学 2014-05-09 Ming Yuan , Cun-Hui Zhang

This study investigates the problem of multi-view subspace clustering, the goal of which is to explore the underlying grouping structure of data collected from different fields or measurements. Since data do not always comply with the…

机器学习 · 计算机科学 2021-03-25 Qinghai Zheng , Jihua Zhu , Yuanyuan Ma , Zhongyu Li , Zhiqiang Tian
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