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In this paper, we address the multi-view subspace clustering problem. Our method utilizes the circulant algebra for tensor, which is constructed by stacking the subspace representation matrices of different views and then rotating, to…

Computer Vision and Pattern Recognition · Computer Science 2017-08-15 Yuan Xie , Dacheng Tao , Wensheng Zhang , Lei Zhang , Yan Liu , Yanyun Qu

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…

Numerical Analysis · Computer Science 2018-07-03 Alp Ozdemir , Ali Zare , Mark A. Iwen , Selin Aviyente

Higher-order data with high dimensionality arise in a diverse set of application areas such as computer vision, video analytics and medical imaging. Tensors provide a natural tool for representing these types of data. Although there has…

Signal Processing · Electrical Eng. & Systems 2020-08-04 Seyyid Emre Sofuoglu , Selin Aviyente

Originating in quantum physics, tensor networks (TNs) have been widely adopted as exponential machines and parameter decomposers for recognition tasks. Typical TN models, such as Matrix Product States (MPS), have not yet achieved successful…

Computer Vision and Pattern Recognition · Computer Science 2025-02-17 Chang Nie , Junfang Chen , Yajie Chen

Conventional multi-view clustering methods seek for a view consensus through minimizing the pairwise discrepancy between the consensus and subviews. However, the pairwise comparison cannot portray the inter-view relationship precisely if…

Machine Learning · Computer Science 2020-05-13 Zhe Liu , Yun Li , Lina Yao , Xianzhi Wang , Feiping Nie

The Dynamic Communication Network (DCN) describes the interactions over time among various communication nodes, and it is widely used in Big-data applications as a data source. As the number of communication nodes increases and temporal…

Machine Learning · Computer Science 2024-08-30 Xin Liao , Qicong Hu , Peng Tang

This paper presents an adaptive convolutional neural network (CNN) architecture that can automate diverse topology optimization (TO) problems having different underlying physics. The architecture uses the encoder-decoder networks with dense…

Computational Engineering, Finance, and Science · Computer Science 2025-09-10 Khaish Singh Chadha , Prabhat Kumar

This paper explores the problem of clustering ensemble, which aims to combine multiple base clusterings to produce better performance than that of the individual one. The existing clustering ensemble methods generally construct a…

Machine Learning · Computer Science 2020-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Qingfu Zhang

Convolutional neural networks (CNNs) have become increasingly difficult to deploy in resource-constrained environments due to their large memory and computational requirements. Although low-rank compression methods can reduce this burden,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Sisipho Hamlomo , Marcellin Atemkeng , Habte Tadesse Likassa , Blaise Ravelo , Thierry Bouwmans , Sébastien Lalléchère , Antoine Vacavant , Ding-Geng Chen

This paper proposes a novel deep subspace clustering approach which uses convolutional autoencoders to transform input images into new representations lying on a union of linear subspaces. The first contribution of our work is to insert…

Computer Vision and Pattern Recognition · Computer Science 2020-01-24 Mohsen Kheirandishfard , Fariba Zohrizadeh , Farhad Kamangar

The combination of the traditional convolutional network (i.e., an auto-encoder) and the graph convolutional network has attracted much attention in clustering, in which the auto-encoder extracts the node attribute feature and the graph…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Zhihao Peng , Hui Liu , Yuheng Jia , Junhui Hou

In this paper, we present a kernel subspace clustering method that can handle non-linear models. In contrast to recent kernel subspace clustering methods which use predefined kernels, we propose to learn a low-rank kernel matrix, with which…

Computer Vision and Pattern Recognition · Computer Science 2019-01-28 Pan Ji , Ian Reid , Ravi Garg , Hongdong Li , Mathieu Salzmann

With powerful ability to exploit latent structure of self-representation information, different tensor decompositions have been employed into low rank multi-view clustering (LRMVC) models for achieving significant performance. However,…

Machine Learning · Computer Science 2022-10-25 Yingcong Lu , Yipeng Liu , Zhen Long , Zhangxin Chen , Ce Zhu

Tensor-based multi-view clustering has recently received significant attention due to its exceptional ability to explore cross-view high-order correlations. However, most existing methods still encounter some limitations. (1) Most of them…

Computer Vision and Pattern Recognition · Computer Science 2024-11-13 Deng Xu , Chao Zhang , Zechao Li , Chunlin Chen , Huaxiong Li

Effective modeling of heterogeneous subpopulations presents a significant challenge due to variations in individual characteristics and behaviors. This paper proposes a novel approach to address this issue through multi-task learning (MTL)…

Machine Learning · Computer Science 2025-08-22 Elif Konyar , Mostafa Reisi Gahrooei , Kamran Paynabar

Tensors or multiarray data are generalizations of matrices. Tensor clustering has become a very important research topic due to the intrinsically rich structures in real-world multiarray datasets. Subspace clustering based on vectorizing…

Computer Vision and Pattern Recognition · Computer Science 2015-04-30 Yanfeng Sun , Junbin Gao , Xia Hong , Bamdev Mishra , Baocai Yin

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

Aspect-level sentiment classification (ASC) aims to detect the sentiment polarity of a given opinion target in a sentence. In neural network-based methods for ASC, most works employ the attention mechanism to capture the corresponding…

Computation and Language · Computer Science 2020-10-26 Fei Zhao , Zhen Wu , Xinyu Dai

An augmented tree tensor network (aTTN) is a tensor network ansatz constructed by applying a layer of unitary disentanglers to a tree tensor network. The disentanglers absorb a part of the system's entanglement. This makes aTTNs suitable…

Quantum Physics · Physics 2025-07-30 Nora Reinić , Luka Pavešić , Daniel Jaschke , Simone Montangero

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…

Machine Learning · Computer Science 2021-03-25 Qinghai Zheng , Jihua Zhu , Yuanyuan Ma , Zhongyu Li , Zhiqiang Tian