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相关论文: On Unifying Multi-View Self-Representations for Cl…

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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

The tensor Singular Value Decomposition (t-SVD) for third order tensors that was proposed by Kilmer and Martin~\cite{2011kilmer} has been applied successfully in many fields, such as computed tomography, facial recognition, and video…

数值分析 · 数学 2016-09-23 Jiani Zhang , Arvind K. Saibaba , Misha Kilmer , Shuchin Aeron

This paper considers the completion problem for a tensor (also referred to as a multidimensional array) from limited sampling. Our greedy method is based on extending the low-rank approximation pursuit (LRAP) method for matrix completions…

数值分析 · 数学 2020-04-21 An-Bao Xu

Multi-view data clustering attracts more attention than their single view counterparts due to the fact that leveraging multiple independent and complementary information from multi-view feature spaces outperforms the single one. Multi-view…

计算机视觉与模式识别 · 计算机科学 2017-12-08 Yang Wang , Lin Wu

To analyze the abundance of multidimensional data, tensor-based frameworks have been developed. Traditionally, the matrix singular value decomposition (SVD) is used to extract the most dominant features from a matrix containing the…

机器学习 · 计算机科学 2021-11-02 Katherine Keegan , Tanvi Vishwanath , Yihua Xu

Multi-view clustering has become increasingly important due to the multi-source character of real-world data. Among existing multi-view clustering methods, multi-kernel clustering and matrix factorization-based multi-view clustering have…

机器学习 · 计算机科学 2024-12-13 Chenxing Jia , Mingjie Cai , Hamido Fujita

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…

计算机视觉与模式识别 · 计算机科学 2023-01-05 Yuheng Jia , Guanxing Lu , Hui Liu , Junhui Hou

This study introduces a novel technique for multi-view clustering known as the "Consensus Graph-Based Multi-View Clustering Method Using Low-Rank Non-Convex Norm" (CGMVC-NC). Multi-view clustering is a challenging task in machine learning…

机器学习 · 计算机科学 2025-11-21 Alaeddine Zahir , Khalide Jbilou , Ahmed Ratnani

Multi-view clustering is an important and fundamental problem. Many multi-view subspace clustering methods have been proposed, and most of them assume that all views share a same coefficient matrix. However, the underlying information of…

机器学习 · 计算机科学 2021-03-25 Qinghai Zheng , Jihua Zhu , Zhiqiang Tian , Zhongyu Li , Shanmin Pang , Xiuyi Jia

Multi-view subspace clustering aims to discover the inherent structure of data by fusing multiple views of complementary information. Most existing methods first extract multiple types of handcrafted features and then learn a joint affinity…

计算机视觉与模式识别 · 计算机科学 2024-03-26 Pengfei Zhu , Xinjie Yao , Yu Wang , Binyuan Hui , Dawei Du , Qinghua Hu

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…

计算机视觉与模式识别 · 计算机科学 2015-11-24 Jie Chen , Haixian Zhang , Hua Mao , Yongsheng Sang , Zhang Yi

The widespread use of multisensor technology and the emergence of big datasets have created the need to develop tools to reduce, approximate, and classify large and multimodal data such as higher-order tensors. While early approaches…

数值分析 · 计算机科学 2018-07-03 Alp Ozdemir , Ali Zare , Mark A. Iwen , Selin Aviyente

In tensor completion tasks, the traditional low-rank tensor decomposition models suffer from the laborious model selection problem due to their high model sensitivity. In particular, for tensor ring (TR) decomposition, the number of model…

机器学习 · 计算机科学 2018-12-03 Longhao Yuan , Chao Li , Danilo Mandic , Jianting Cao , Qibin Zhao

Multi-view clustering (MVC) based on non-negative matrix factorization (NMF) and its variants have received a huge amount of attention in recent years due to their advantages in clustering interpretability. However, existing NMF-based…

机器学习 · 计算机科学 2023-03-30 Jing Li , Quanxue Gao , Qianqian Wang , Wei Xia , Xinbo Gao

In recent years, multi-view subspace clustering has achieved impressive performance due to the exploitation of complementary imformation across multiple views. However, multi-view data can be very complicated and are not easy to cluster in…

计算机视觉与模式识别 · 计算机科学 2021-06-21 Peng Chen , Liang Liu , Zhengrui Ma , Zhao Kang

Tensor completion and robust principal component analysis have been widely used in machine learning while the key problem relies on the minimization of a tensor rank that is very challenging. A common way to tackle this difficulty is to…

机器学习 · 计算机科学 2021-05-26 Tao Li , Jinwen Ma

In this paper we propose novel methods for completion (from limited samples) and de-noising of multilinear (tensor) data and as an application consider 3-D and 4- D (color) video data completion and de-noising. We exploit the recently…

计算机视觉与模式识别 · 计算机科学 2014-10-31 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

In this paper, we propose a general framework for tensor singular value decomposition (tensor SVD), which focuses on the methodology and theory for extracting the hidden low-rank structure from high-dimensional tensor data. Comprehensive…

统计理论 · 数学 2020-01-09 Anru Zhang , Dong Xia

Tensor singular value decomposition (t-SVD) is a promising tool for multi-dimensional image representation, which decomposes a multi-dimensional image into a latent tensor and an accompanying transform matrix. However, two critical…

计算机视觉与模式识别 · 计算机科学 2025-11-20 Yiming Zeng , Xi-Le Zhao , Wei-Hao Wu , Teng-Yu Ji , Chao Wang

Clustering with incomplete views is a challenge in multi-view clustering. In this paper, we provide a novel and simple method to address this issue. Specifically, the proposed method simultaneously exploits the local information of each…

计算机视觉与模式识别 · 计算机科学 2018-09-18 Jie Wen , Zheng Zhang , Yong Xu , Zuofeng Zhong