Robust Nonnegative Matrix Factorization via Joint Graph Laplacian and Discriminative Information for Identifying Differentially Expressed Genes

Differential expression plays an important role in cancer diagnosis and classification. In recent years, many methods have been used to identify differentially expressed genes. However, the recognition rate and reliability of gene selection still need to be improved. In this paper, a novel constrain...

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Main Authors: Ling-Yun Dai, Chun-Mei Feng, Jin-Xing Liu, Chun-Hou Zheng, Jiguo Yu, Mi-Xiao Hou
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2017/4216797
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author Ling-Yun Dai
Chun-Mei Feng
Jin-Xing Liu
Chun-Hou Zheng
Jiguo Yu
Mi-Xiao Hou
author_facet Ling-Yun Dai
Chun-Mei Feng
Jin-Xing Liu
Chun-Hou Zheng
Jiguo Yu
Mi-Xiao Hou
author_sort Ling-Yun Dai
collection DOAJ
description Differential expression plays an important role in cancer diagnosis and classification. In recent years, many methods have been used to identify differentially expressed genes. However, the recognition rate and reliability of gene selection still need to be improved. In this paper, a novel constrained method named robust nonnegative matrix factorization via joint graph Laplacian and discriminative information (GLD-RNMF) is proposed for identifying differentially expressed genes, in which manifold learning and the discriminative label information are incorporated into the traditional nonnegative matrix factorization model to train the objective matrix. Specifically, L2,1-norm minimization is enforced on both the error function and the regularization term which is robust to outliers and noise in gene data. Furthermore, the multiplicative update rules and the details of convergence proof are shown for the new model. The experimental results on two publicly available cancer datasets demonstrate that GLD-RNMF is an effective method for identifying differentially expressed genes.
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id doaj-art-b52848fef0fa440aaa5dfc3b463586df
institution OA Journals
issn 1076-2787
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language English
publishDate 2017-01-01
publisher Wiley
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series Complexity
spelling doaj-art-b52848fef0fa440aaa5dfc3b463586df2025-08-20T02:23:30ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/42167974216797Robust Nonnegative Matrix Factorization via Joint Graph Laplacian and Discriminative Information for Identifying Differentially Expressed GenesLing-Yun Dai0Chun-Mei Feng1Jin-Xing Liu2Chun-Hou Zheng3Jiguo Yu4Mi-Xiao Hou5School of Information Science and Engineering, Qufu Normal University, Rizhao 276826, ChinaSchool of Information Science and Engineering, Qufu Normal University, Rizhao 276826, ChinaSchool of Information Science and Engineering, Qufu Normal University, Rizhao 276826, ChinaSchool of Information Science and Engineering, Qufu Normal University, Rizhao 276826, ChinaSchool of Information Science and Engineering, Qufu Normal University, Rizhao 276826, ChinaSchool of Information Science and Engineering, Qufu Normal University, Rizhao 276826, ChinaDifferential expression plays an important role in cancer diagnosis and classification. In recent years, many methods have been used to identify differentially expressed genes. However, the recognition rate and reliability of gene selection still need to be improved. In this paper, a novel constrained method named robust nonnegative matrix factorization via joint graph Laplacian and discriminative information (GLD-RNMF) is proposed for identifying differentially expressed genes, in which manifold learning and the discriminative label information are incorporated into the traditional nonnegative matrix factorization model to train the objective matrix. Specifically, L2,1-norm minimization is enforced on both the error function and the regularization term which is robust to outliers and noise in gene data. Furthermore, the multiplicative update rules and the details of convergence proof are shown for the new model. The experimental results on two publicly available cancer datasets demonstrate that GLD-RNMF is an effective method for identifying differentially expressed genes.http://dx.doi.org/10.1155/2017/4216797
spellingShingle Ling-Yun Dai
Chun-Mei Feng
Jin-Xing Liu
Chun-Hou Zheng
Jiguo Yu
Mi-Xiao Hou
Robust Nonnegative Matrix Factorization via Joint Graph Laplacian and Discriminative Information for Identifying Differentially Expressed Genes
Complexity
title Robust Nonnegative Matrix Factorization via Joint Graph Laplacian and Discriminative Information for Identifying Differentially Expressed Genes
title_full Robust Nonnegative Matrix Factorization via Joint Graph Laplacian and Discriminative Information for Identifying Differentially Expressed Genes
title_fullStr Robust Nonnegative Matrix Factorization via Joint Graph Laplacian and Discriminative Information for Identifying Differentially Expressed Genes
title_full_unstemmed Robust Nonnegative Matrix Factorization via Joint Graph Laplacian and Discriminative Information for Identifying Differentially Expressed Genes
title_short Robust Nonnegative Matrix Factorization via Joint Graph Laplacian and Discriminative Information for Identifying Differentially Expressed Genes
title_sort robust nonnegative matrix factorization via joint graph laplacian and discriminative information for identifying differentially expressed genes
url http://dx.doi.org/10.1155/2017/4216797
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AT jinxingliu robustnonnegativematrixfactorizationviajointgraphlaplaciananddiscriminativeinformationforidentifyingdifferentiallyexpressedgenes
AT chunhouzheng robustnonnegativematrixfactorizationviajointgraphlaplaciananddiscriminativeinformationforidentifyingdifferentiallyexpressedgenes
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