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Tensors naturally model many real world processes which generate multi-aspect data. Such processes appear in many different research disciplines, e.g, chemometrics, computer vision, psychometrics and neuroimaging analysis. Tensor…

Data Structures and Algorithms · Computer Science 2009-09-29 Charalampos E. Tsourakakis

Tensor structured Markov chains are part of stochastic models of many practical applications, e.g., in the description of complex production or telephone networks. The most interesting question in Markov chain models is the determination of…

Numerical Analysis · Mathematics 2015-05-08 Matthias Bolten , Karsten Kahl , Sonja Sokolović

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

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…

Numerical Analysis · Mathematics 2025-02-07 Meixin Xiong , Liuhong Chen , Ju Ming , Xingchen Pan , Xinyu Yan

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

Recently, Expectation-maximization (EM) algorithm has been introduced as an effective means to solve multi-view registration problem. Most of the previous methods assume that each data point is drawn from the Gaussian Mixture Model (GMM),…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Yanlin Ma , Jihua Zhu , Zhongyu Li , Zhiqiang Tian , Yaochen Li

Mixture Markov Model (MMM) is a widely used tool to cluster sequences of events coming from a finite state-space. However the MMM likelihood being multi-modal, the challenge remains in its maximization. Although Expectation-Maximization…

Optimization and Control · Mathematics 2026-04-16 Priyam Das , Deborshee Sen , Debsurya De , Jue Hou , Zahra S. H. Abad , Nicole Kim , Zongqi Xia , Tianxi Cai

Trustworthy multi-view classification (TMVC) addresses the challenge of achieving reliable decision-making in complex scenarios where multi-source information is heterogeneous, inconsistent, or even conflicting. Existing TMVC approaches…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Haojian Huang , Jiahao Shi , Zhe Liu , Harold Haodong Chen , Han Fang , Hao Sun , Zhongjiang He

Deep anchor-based multi-view clustering methods enhance the scalability of neural networks by utilizing representative anchors to reduce the computational complexity of large-scale clustering. Despite their scalability advantages, existing…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Shide Du , Chunming Wu , Zihan Fang , Wendi Zhao , Yilin Wu , Changwei Wang , Shiping Wang

Multi-view learning is frequently used in data science. The pairwise correlation maximization is a classical approach for exploring the consensus of multiple views. Since the pairwise correlation is inherent for two views, the extensions to…

Machine Learning · Computer Science 2022-01-31 Jiawang Nie , Li Wang , Zequn Zheng

In this paper, we study multi-dimensional image recovery. Recently, transform-based tensor nuclear norm minimization methods are considered to capture low-rank tensor structures to recover third-order tensors in multi-dimensional image…

Image and Video Processing · Electrical Eng. & Systems 2022-06-15 Yi-Si Luo , Xi-Le Zhao , Tai-Xiang Jiang , Yi Chang , Michael K. Ng , Chao Li

Multivariate Time-Series (MTS) clustering discovers intrinsic grouping patterns of temporal data samples. Although time-series provide rich discriminative information, they also contain substantial redundancy, such as steady-state machine…

Machine Learning · Computer Science 2025-12-09 Zexi Tan , Xiaopeng Luo , Yunlin Liu , Yiqun Zhang

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

Multi-view spectral clustering, which aims at yielding an agreement or consensus data objects grouping across multi-views with their graph laplacian matrices, is a fundamental clustering problem. Among the existing methods, Low-Rank…

Machine Learning · Computer Science 2016-08-22 Yang Wang , Wenjie Zhang , Lin Wu , Xuemin Lin , Meng Fang , Shirui Pan

In supervised deep learning, learning good representations for remote--sensing images (RSI) relies on manual annotations. However, in the area of remote sensing, it is hard to obtain huge amounts of labeled data. Recently, self--supervised…

Machine Learning · Computer Science 2022-09-27 Qinglin Li , Bin Li , Jonathan M Garibaldi , Guoping Qiu

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…

Machine Learning · Computer Science 2021-11-02 Katherine Keegan , Tanvi Vishwanath , Yihua Xu

Multi-view learning algorithms typically assume a complete bipartite mapping between the different views in order to exchange information during the learning process. However, many applications provide only a partial mapping between the…

Machine Learning · Computer Science 2014-11-03 Eric Eaton , Marie desJardins , Sara Jacob

Clustering algorithms have wide applications and play an important role in data analysis fields including time series data analysis. However, in time series analysis, most of the algorithms used signal shape features or the initial value of…

Machine Learning · Statistics 2020-04-30 Daisuke Kaji , Kazuho Watanabe , Masahiro Kobayashi

Deep clustering - joint representation learning and latent space clustering - is a well studied problem especially in computer vision and text processing under the deep learning framework. While the representation learning is generally…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Bishwajit Saha , Dmitry Krotov , Mohammed J. Zaki , Parikshit Ram

We propose a new method of multiway clustering for 3-order tensors via affinity matrix (MCAM). Based on a notion of similarity between the tensor slices and the spread of information of each slice, our model builds an affinity/similarity…

Machine Learning · Computer Science 2023-03-15 Dina Faneva Andriantsiory , Joseph Ben Geloun , Mustapha Lebbah