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    政大機構典藏 > 商學院 > 統計學系 > 期刊論文 >  Item 140.119/142020
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/142020


    Title: Network-based discriminant analysis for multiclassification
    Authors: 陳立榜
    Chen, Li-Pang
    Contributors: 統計系
    Keywords: F-score;Gaussian graphical models;Discriminant function;Multiclassification;Network structure;Precision matrix;Prediction
    Date: 2022-06
    Issue Date: 2022-09-21 11:45:35 (UTC+8)
    Abstract: Classification for multi-label responses, known as multiclassification, has been an important problem in supervised learning and has attracted our attention. In the framework of statistical learning, discriminant analysis is a powerful method to do multiclassification. With the increasing availability of complex data, it becomes more challenging to analyze them. One of the important features in complex data is the network structure, which is ubiquitous in high-dimensional data because of strong or weak correlations among variables. Although discriminant analysis is one of the supervised learning methods to deal with multiclassification and relevant extensions have been explored, little method has been available to handle multiclassification with network structures accommodated. To incorporate network structures in predictors and improve the accuracy of classification, we propose network-based linear discriminant analysis and network-based quadratic discriminant analysis in this paper. The main advantage of the proposed methods is to estimate the inverse of covariance matrices directly and do classification for multi-label responses instead of restricting on binary responses. In addition, the proposed methods are easy to compute and implement. Finally, numerical studies are conducted to assess the performance of the proposed methods, and numerical results verify that the proposed methods outperform their competitors.
    Relation: Journal of Classification, Vol.39, pp.410-431
    Data Type: article
    DOI 連結: https://doi.org/10.1007/s00357-022-09414-y
    DOI: 10.1007/s00357-022-09414-y
    Appears in Collections:[統計學系] 期刊論文

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