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Several methods of triclustering of three dimensional data require the specification of the cluster size in each dimension. This introduces a certain degree of arbitrariness. To address this issue, we propose a new method, namely the…

Machine Learning · Computer Science 2021-09-23 Dina Faneva Andriantsiory , Joseph Ben Geloun , Mustapha Lebbah

Machine Learning approaches like clustering methods deal with massive datasets that present an increasing challenge. We devise parallel algorithms to compute the Multi-Slice Clustering (MSC) for 3rd-order tensors. The MSC method is based on…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-02 Dina Faneva Andriantsiory , Camille Coti , Joseph Ben Geloun , Mustapha Lebbah

We consider the problem of identifying multiway block structure from a large noisy tensor. Such problems arise frequently in applications such as genomics, recommendation system, topic modeling, and sensor network localization. We propose a…

Machine Learning · Statistics 2021-01-05 Miaoyan Wang , Yuchen Zeng

In many real-world applications, data are often unlabeled and comprised of different representations/views which often provide information complementary to each other. Although several multi-view clustering methods have been proposed, most…

Machine Learning · Computer Science 2018-10-19 Lifang He , Chun-ta Lu , Yong Chen , Jiawei Zhang , Linlin Shen , Philip S. Yu , Fei Wang

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

We consider the problem of multiway clustering in the presence of unknown degree heterogeneity. Such data problems arise commonly in applications such as recommendation system, neuroimaging, community detection, and hypergraph partitions in…

Statistics Theory · Mathematics 2023-01-25 Jiaxin Hu , Miaoyan Wang

Spectral clustering and co-clustering are well-known techniques in data analysis, and recent work has extended spectral clustering to square, symmetric tensors and hypermatrices derived from a network. We develop a new tensor spectral…

Social and Information Networks · Computer Science 2016-03-02 Tao Wu , Austin R. Benson , David F. Gleich

Several methods for triclustering three-dimensional data require the cluster size or the number of clusters in each dimension to be specified. To address this issue, the Multi-Slice Clustering (MSC) for 3-order tensor finds signal slices…

Machine Learning · Computer Science 2023-03-27 Dina Faneva Andriantsiory , Joseph Ben Geloun , Mustapha Lebbah

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

Tensor clustering has become an important topic, specifically in spatio-temporal modeling, due to its ability to cluster spatial modes (e.g., stations or road segments) and temporal modes (e.g., time of the day or day of the week). Our…

Methodology · Statistics 2024-04-09 Jiuyun Hu , Ziyue Li , Chen Zhang , Fugee Tsung , Hao Yan

Conventional clustering methods based on pairwise affinity usually suffer from the concentration effect while processing huge dimensional features yet low sample sizes data, resulting in inaccuracy to encode the sample proximity and…

Machine Learning · Computer Science 2023-02-06 Hongmin Cai , Fei Qi , Junyu Li , Yu Hu , Yue Zhang , Yiu-ming Cheung , Bin Hu

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

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…

Computer Vision and Pattern Recognition · Computer Science 2023-01-05 Yuheng Jia , Guanxing Lu , Hui Liu , Junhui Hou

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…

Machine Learning · Computer Science 2023-03-30 Jing Li , Quanxue Gao , Qianqian Wang , Wei Xia , Xinbo Gao

Heterogeneous multi-typed, multimodal relational data is increasingly available in many domains and their exploratory analysis poses several challenges. We advance the state-of-the-art in neural unsupervised learning to analyze such data.…

Machine Learning · Statistics 2021-09-28 Ragunathan Mariappan , Vaibhav Rajan

Modeling of high-dimensional data is very important to categorize different classes. We develop a new mixture model called Multinomial cluster-weighted model (MCWM). We derive the identifiability of a general class of MCWM. We estimate the…

Methodology · Statistics 2022-08-25 Kehinde Olobatuyi , Oludare Ariyo

We consider the problem of jointly modeling and clustering populations of tensors by introducing a high-dimensional tensor mixture model with heterogeneous covariances. To effectively tackle the high dimensionality of tensor objects, we…

Methodology · Statistics 2024-11-21 Biao Cai , Jingfei Zhang , Will Wei Sun

Multi-view clustering attracts much attention recently, which aims to take advantage of multi-view information to improve the performance of clustering. However, most recent work mainly focus on self-representation based subspace…

Computer Vision and Pattern Recognition · Computer Science 2019-10-02 Jianlong Wu , Zhouchen Lin , Hongbin Zha

The plenty information from multiple views data as well as the complementary information among different views are usually beneficial to various tasks, e.g., clustering, classification, de-noising. Multi-view subspace clustering is based on…

Computer Vision and Pattern Recognition · Computer Science 2016-09-02 Ming Yin , Junbin Gao , Shengli Xie , Yi Guo

Multisource data has spurred the development of advanced clustering algorithms, such as multi-view clustering, which critically relies on constructing similarity matrices. Traditional algorithms typically generate these matrices from sample…

Machine Learning · Computer Science 2024-10-30 Xuetong Li , Xiao-Dong Zhang
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