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A new submodule clustering method via sparse and low-rank representation for multi-way data is proposed in this paper. Instead of reshaping multi-way data into vectors, this method maintains their natural orders to preserve data intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2016-09-29 Xinglin Piao , Yongli Hu , Junbin Gao , Yanfeng Sun , Zhouchen Lin , Baocai Yin

Multi-view learning can cover all features of data samples more comprehensively, so multi-view learning has attracted widespread attention. Traditional subspace clustering methods, such as sparse subspace clustering (SSC) and low-ranking…

Machine Learning · Computer Science 2022-01-04 Jian-wei Liu , Hao-jie Xie , Run-kun Lu , Xiong-lin Luo

The recently proposed fully-connected tensor network (FCTN) decomposition has demonstrated significant advantages in correlation characterization and transpositional invariance, and has achieved notable achievements in multi-dimensional…

Machine Learning · Computer Science 2026-02-16 Wenjin Qin , Hailin Wang , Jiangjun Peng , Jianjun Wang , Tingwen Huang

The recently introduced locally orderless tensor network (LoTeNet) for supervised image classification uses matrix product state (MPS) operations on grids of transformed image patches. The resulting patch representations are combined back…

Computer Vision and Pattern Recognition · Computer Science 2021-03-22 Raghavendra Selvan , Silas Ørting , Erik B Dam

Clustering in stationary and nonstationary settings, where data distributions remain static or evolve over time, requires models that can adapt to distributional shifts while preserving previously learned cluster structures. This paper…

Machine Learning · Computer Science 2025-12-09 Naoki Masuyama , Yuichiro Toda , Yusuke Nojima , Hisao Ishibuchi

Network embedding aims to learn a latent, low-dimensional vector representations of network nodes, effective in supporting various network analytic tasks. While prior arts on network embedding focus primarily on preserving network topology…

Social and Information Networks · Computer Science 2019-05-21 Daokun Zhang , Jie Yin , Xingquan Zhu , Chengqi Zhang

Tensor networks developed in the context of condensed matter physics try to approximate order-$N$ tensors with a reduced number of degrees of freedom that is only polynomial in $N$ and arranged as a network of partially contracted smaller…

Machine Learning · Computer Science 2025-01-07 Hao Chen , Thomas Barthel

For the task of subdecimeter aerial imagery segmentation, fine-grained semantic segmentation results are usually difficult to obtain because of complex remote sensing content and optical conditions. Recently, convolutional neural networks…

Computer Vision and Pattern Recognition · Computer Science 2018-08-28 Kai Yue , Lei Yang , Ruirui Li , Wei Hu , Fan Zhang , Wei Li

Tensor decompositions are powerful tools for dimensionality reduction and feature interpretation of multidimensional data such as signals. Existing tensor decomposition objectives (e.g., Frobenius norm) are designed for fitting raw data…

Numerical Analysis · Mathematics 2022-09-20 Chaoqi Yang , Cheng Qian , Navjot Singh , Cao Xiao , M Brandon Westover , Edgar Solomonik , Jimeng Sun

Higher-order tensors have received increased attention across science and engineering. While most tensor decomposition methods are developed for a single tensor observation, scientific studies often collect side information, in the form of…

Methodology · Statistics 2021-10-29 Jiaxin Hu , Chanwoo Lee , Miaoyan Wang

Tensor data with rich structural information becomes increasingly important in process modeling, monitoring, and diagnosis. Here structural information is referred to structural properties such as sparsity, smoothness, low-rank, and…

Machine Learning · Statistics 2024-10-30 Shancong Mou , Andi Wang , Chuck Zhang , Jianjun Shi

Most existing approaches address multi-view subspace clustering problem by constructing the affinity matrix on each view separately and afterwards propose how to extend spectral clustering algorithm to handle multi-view data. This paper…

Computer Vision and Pattern Recognition · Computer Science 2017-08-30 Maria Brbic , Ivica Kopriva

Advanced tensor decomposition, such as Tensor train (TT) and Tensor ring (TR), has been widely studied for deep neural network (DNN) model compression, especially for recurrent neural networks (RNNs). However, compressing convolutional…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Miao Yin , Yang Sui , Siyu Liao , Bo Yuan

Multi-view clustering methods have been a focus in recent years because of their superiority in clustering performance. However, typical traditional multi-view clustering algorithms still have shortcomings in some aspects, such as removal…

Machine Learning · Computer Science 2020-08-25 Junpeng Tan , Yukai Shi , Zhijing Yang , Caizhen Wen , Liang Lin

Hypergraphs, with their capacity to depict high-order relationships, have emerged as a significant extension of traditional graphs. Although Graph Neural Networks (GNNs) have remarkable performance in graph representation learning, their…

Machine Learning · Computer Science 2024-11-07 Khaled Mohammed Saifuddin , Mehmet Emin Aktas , Esra Akbas

Estimating the number of clusters and cluster structures in unlabeled, complex, and high-dimensional datasets (like images) is challenging for traditional clustering algorithms. In recent years, a matrix reordering-based algorithm called…

Subspace clustering is to find underlying low-dimensional subspaces and cluster the data points correctly. In this paper, we propose a novel multi-view subspace clustering method. Most existing methods suffer from two critical issues.…

Artificial Intelligence · Computer Science 2022-05-24 Mengyuan Zhang , Kai Liu

Multi-view Spectral Clustering (MvSC) attracts increasing attention due to diverse data sources. However, most existing works are prohibited in out-of-sample predictions and overlook model interpretability and exploration of clustering…

Machine Learning · Computer Science 2022-07-26 Qinghua Tao , Francesco Tonin , Panagiotis Patrinos , Johan A. K. Suykens

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

With the advancement of the data acquisition techniques, multi-view learning has become a hot topic. Some multi-view learning methods assume that the multi-view data is complete, which means that all instances are present, but this too…

Machine Learning · Computer Science 2022-08-09 Heng Zhang , Xiaohong Chen