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Geometric consistency of principal component scores for high‐dimensional mixture models and its application
http://hdl.handle.net/2241/0002001581
http://hdl.handle.net/2241/0002001581ea896e16-8e93-40f8-92a5-4617356dfc8c
名前 / ファイル | ライセンス | アクション |
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SJOS_47-3.pdf (1.8 MB)
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Item type | Journal Article(1) | |||||
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公開日 | 2021-10-12 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Geometric consistency of principal component scores for high‐dimensional mixture models and its application | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
著者 |
矢田, 和善
× 矢田, 和善× 青嶋, 誠 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this article, we consider clustering based on principal component analysis (PCA) for high-dimensional mixture models. We present theoretical reasons why PCA is effective for clustering high-dimensional data. First, we derive a geometric representation of high-dimension, low-sample-size (HDLSS) data taken from a two-class mixture model. With the help of the geometric representation, we give geometric consistency properties of sample principal component scores in the HDLSS context. We develop ideas of the geometric representation and provide geometric consistency properties for multiclass mixture models. We show that PCA can cluster HDLSS data under certain conditions in a surprisingly explicit way. Finally, we demonstrate the performance of the clustering using gene expression datasets. | |||||
言語 | en | |||||
書誌情報 |
en : Scandinavian Journal of Statistics, theory and applications 巻 47, 号 3, p. 899-921, 発行日 2020-09 |
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ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0303-6898 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00425446 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1111/sjos.12432 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | © 2019 The Authors. Scandinavian Journal of Statistics published by John Wiley & Sons Ltd on behalf of The Board of the Foundation of the Scandinavian Journal of Statistics. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Wiley |