On fast supervised learning for normal mixture models with missing information

碩士 === 東海大學 === 統計學系 === 93 === It is an important research issue to deal with mixture models when missing values occur in the data. In this paper, computational strategies using auxiliary indicator matrices are introduced for handling mixtures of multivariate normal distributions in a more efficien...

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Main Authors: Hsiu J. Ho, 何秀榮
Other Authors: Tsung I. Lin
Format: Others
Language:en_US
Published: 2005
Online Access:http://ndltd.ncl.edu.tw/handle/14446657169844690511
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spelling ndltd-TW-093THU003370062016-06-10T04:16:00Z http://ndltd.ncl.edu.tw/handle/14446657169844690511 On fast supervised learning for normal mixture models with missing information 具遺失訊息下多變量混合常態模型之快速監督學習 Hsiu J. Ho 何秀榮 碩士 東海大學 統計學系 93 It is an important research issue to deal with mixture models when missing values occur in the data. In this paper, computational strategies using auxiliary indicator matrices are introduced for handling mixtures of multivariate normal distributions in a more efficient manner, assuming that patterns of missingness are arbitrary and missing at random. We develop a novelly structured EM algorithm which can dramatically save computation time and be exploited in many applications, such as density estimation, supervised clustering and prediction of missing values. In the aspect of multiple imputations for missing data, we also offer a data augmentation scheme using the Gibbs sampler. Our proposed methodologies are illustrated through some real data sets with varying proportions of missing values. Tsung I. Lin 林宗儀 2005 學位論文 ; thesis 27 en_US
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description 碩士 === 東海大學 === 統計學系 === 93 === It is an important research issue to deal with mixture models when missing values occur in the data. In this paper, computational strategies using auxiliary indicator matrices are introduced for handling mixtures of multivariate normal distributions in a more efficient manner, assuming that patterns of missingness are arbitrary and missing at random. We develop a novelly structured EM algorithm which can dramatically save computation time and be exploited in many applications, such as density estimation, supervised clustering and prediction of missing values. In the aspect of multiple imputations for missing data, we also offer a data augmentation scheme using the Gibbs sampler. Our proposed methodologies are illustrated through some real data sets with varying proportions of missing values.
author2 Tsung I. Lin
author_facet Tsung I. Lin
Hsiu J. Ho
何秀榮
author Hsiu J. Ho
何秀榮
spellingShingle Hsiu J. Ho
何秀榮
On fast supervised learning for normal mixture models with missing information
author_sort Hsiu J. Ho
title On fast supervised learning for normal mixture models with missing information
title_short On fast supervised learning for normal mixture models with missing information
title_full On fast supervised learning for normal mixture models with missing information
title_fullStr On fast supervised learning for normal mixture models with missing information
title_full_unstemmed On fast supervised learning for normal mixture models with missing information
title_sort on fast supervised learning for normal mixture models with missing information
publishDate 2005
url http://ndltd.ncl.edu.tw/handle/14446657169844690511
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