博碩士論文 109225025 完整後設資料紀錄

DC 欄位 語言
DC.contributor統計研究所zh_TW
DC.creator張元綺zh_TW
DC.creatorYuan-Chi Changen_US
dc.date.accessioned2022-8-24T07:39:07Z
dc.date.available2022-8-24T07:39:07Z
dc.date.issued2022
dc.identifier.urihttp://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=109225025
dc.contributor.department統計研究所zh_TW
DC.description國立中央大學zh_TW
DC.descriptionNational Central Universityen_US
dc.description.abstract主成分分析(PCA)是一種常見且熱門的降維方法。然而,當我們想通過主成 分的載荷係數(loading)進一步對資料與變數之間做推論時,常因載荷係數不為零 而難以得到簡易的解釋結果。本文的主要目的是嘗試透過貝氏方法得到 SPCA 標 準下的稀疏載荷,其中我們使用一種全部局部收縮先驗(global-local shrinkage prior)模型 MBSP-TPBN。數值模擬和實際數據證明本文提出的方法。zh_TW
dc.description.abstractPrincipal component analysis (PCA) is a common and popular dimensionality reduc- tion method. However, when we want to make further inferences between data and variables through the loadings of principal components, it is often difficult to obtain simple interpretation results due to all non-zero loadings. The main purpose of this thesis is to try to obtain the sparse loadings under the SPCA criterion based on a Bayesian approach, in which we use a global-local shrinkage prior model MBSP-TPBN. The numerical study and real data demonstrate the proposed method in the article.en_US
DC.subject全部局部收縮先驗zh_TW
DC.subject主成分分析zh_TW
DC.subject載荷係數zh_TW
DC.subject稀疏性zh_TW
DC.subjectglobal-local shrinkage prioren_US
DC.subjectprincipal component analysisen_US
DC.subjectloadingsen_US
DC.subjectSPCAen_US
DC.subjectsparseen_US
DC.titleBayesian method for sparse principal component analysisen_US
dc.language.isoen_USen_US
DC.type博碩士論文zh_TW
DC.typethesisen_US
DC.publisherNational Central Universityen_US

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