Discriminatively Constrained Semi-Supervised Multi-View Nonnegative Matrix Factorization with Graph Regularization

Nonnegative Matrix Factorization (NMF) is one of the most popular feature learning technologies in the field of machine learning and pattern recognition. It has been widely used and studied in the multi-view clustering tasks because of its effectiveness. This study proposes a general semi-supervised...

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Main Authors: Guosheng Cui, Ye Li, Jianzhong Li, Jianping Fan
Format: Article
Language:English
Published: Tsinghua University Press 2024-03-01
Series:Big Data Mining and Analytics
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Online Access:https://www.sciopen.com/article/10.26599/BDMA.2023.9020004
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author Guosheng Cui
Ye Li
Jianzhong Li
Jianping Fan
author_facet Guosheng Cui
Ye Li
Jianzhong Li
Jianping Fan
author_sort Guosheng Cui
collection DOAJ
description Nonnegative Matrix Factorization (NMF) is one of the most popular feature learning technologies in the field of machine learning and pattern recognition. It has been widely used and studied in the multi-view clustering tasks because of its effectiveness. This study proposes a general semi-supervised multi-view nonnegative matrix factorization algorithm. This algorithm incorporates discriminative and geometric information on data to learn a better-fused representation, and adopts a feature normalizing strategy to align the different views. Two specific implementations of this algorithm are developed to validate the effectiveness of the proposed framework: Graph regularization based Discriminatively Constrained Multi-View Nonnegative Matrix Factorization (GDCMVNMF) and Extended Multi-View Constrained Nonnegative Matrix Factorization (ExMVCNMF). The intrinsic connection between these two specific implementations is discussed, and the optimization based on multiply update rules is presented. Experiments on six datasets show that the effectiveness of GDCMVNMF and ExMVCNMF outperforms several representative unsupervised and semi-supervised multi-view NMF approaches.
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publishDate 2024-03-01
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spelling doaj-art-8e9d02b7e07c4f36bb68ef97b85131f32025-02-03T07:26:26ZengTsinghua University PressBig Data Mining and Analytics2096-06542024-03-0171557410.26599/BDMA.2023.9020004Discriminatively Constrained Semi-Supervised Multi-View Nonnegative Matrix Factorization with Graph RegularizationGuosheng Cui0Ye Li1Jianzhong Li2Jianping Fan3Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, China, and also with Joint Engineering Research Center for Health Big Data Intelligent Analysis Technology, Shenzhen 518055, ChinaShenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, China, and also with Joint Engineering Research Center for Health Big Data Intelligent Analysis Technology, Shenzhen 518055, ChinaSchool of Computer Science and Control Engineering, Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, ChinaShenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, China, and also with University of Chinese Academy of Sciences, Beijing 100049, ChinaNonnegative Matrix Factorization (NMF) is one of the most popular feature learning technologies in the field of machine learning and pattern recognition. It has been widely used and studied in the multi-view clustering tasks because of its effectiveness. This study proposes a general semi-supervised multi-view nonnegative matrix factorization algorithm. This algorithm incorporates discriminative and geometric information on data to learn a better-fused representation, and adopts a feature normalizing strategy to align the different views. Two specific implementations of this algorithm are developed to validate the effectiveness of the proposed framework: Graph regularization based Discriminatively Constrained Multi-View Nonnegative Matrix Factorization (GDCMVNMF) and Extended Multi-View Constrained Nonnegative Matrix Factorization (ExMVCNMF). The intrinsic connection between these two specific implementations is discussed, and the optimization based on multiply update rules is presented. Experiments on six datasets show that the effectiveness of GDCMVNMF and ExMVCNMF outperforms several representative unsupervised and semi-supervised multi-view NMF approaches.https://www.sciopen.com/article/10.26599/BDMA.2023.9020004multi-viewsemi-supervised clusteringdiscriminative informationgeometric informationfeature normalizing strategy
spellingShingle Guosheng Cui
Ye Li
Jianzhong Li
Jianping Fan
Discriminatively Constrained Semi-Supervised Multi-View Nonnegative Matrix Factorization with Graph Regularization
Big Data Mining and Analytics
multi-view
semi-supervised clustering
discriminative information
geometric information
feature normalizing strategy
title Discriminatively Constrained Semi-Supervised Multi-View Nonnegative Matrix Factorization with Graph Regularization
title_full Discriminatively Constrained Semi-Supervised Multi-View Nonnegative Matrix Factorization with Graph Regularization
title_fullStr Discriminatively Constrained Semi-Supervised Multi-View Nonnegative Matrix Factorization with Graph Regularization
title_full_unstemmed Discriminatively Constrained Semi-Supervised Multi-View Nonnegative Matrix Factorization with Graph Regularization
title_short Discriminatively Constrained Semi-Supervised Multi-View Nonnegative Matrix Factorization with Graph Regularization
title_sort discriminatively constrained semi supervised multi view nonnegative matrix factorization with graph regularization
topic multi-view
semi-supervised clustering
discriminative information
geometric information
feature normalizing strategy
url https://www.sciopen.com/article/10.26599/BDMA.2023.9020004
work_keys_str_mv AT guoshengcui discriminativelyconstrainedsemisupervisedmultiviewnonnegativematrixfactorizationwithgraphregularization
AT yeli discriminativelyconstrainedsemisupervisedmultiviewnonnegativematrixfactorizationwithgraphregularization
AT jianzhongli discriminativelyconstrainedsemisupervisedmultiviewnonnegativematrixfactorizationwithgraphregularization
AT jianpingfan discriminativelyconstrainedsemisupervisedmultiviewnonnegativematrixfactorizationwithgraphregularization