博碩士論文 108225004 完整後設資料紀錄

DC 欄位 語言
DC.contributor統計研究所zh_TW
DC.creator吳炳璋zh_TW
DC.creatorBing-Jhang Wuen_US
dc.date.accessioned2021-7-26T07:39:07Z
dc.date.available2021-7-26T07:39:07Z
dc.date.issued2021
dc.identifier.urihttp://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=108225004
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電腦實驗在如今變得愈來愈熱門,高斯隨機過程因為具備高靈活性及內插性質,而成為其中一種被廣泛用在電腦實驗的代理模型。此外,高斯隨機過程對於複雜的反應曲面也具有相當優秀的預測表現。一個常見用來定義高斯隨機過程的共變異數函數的方法就是使用相乘性核函數。然而,當有兩個資料點離得太遠時,相乘性核函數可能會表現不佳。為了克服此問題,我們提出一個新的加權相加性核函數,其將相乘性核函數視為特例。我們透過模擬結果和實際資料來展現這個新方法具有較好的預測和解釋能力。zh_TW
dc.description.abstractComputer experiments have become more and more popular nowadays. Gaussian processes (GPs) are one of the widely used surrogate models for computer simulators due to their high flexibility and the property of interpolation. GPs also possess good prediction performance for complex response surfaces. A common way for defining the covariance function of a GP is to use a product kernel. However, the product kernel may result in bad performance especially when two inputs have a large lower-dimensional distance. To circumvent this problem, we propose a new weighted additive kernel, which treats the product kernel as a special case. We show that the new kernel leads to better prediction and interpretation performance under several simulated examples and real datasets.en_US
DC.subject電腦實驗zh_TW
DC.subject相加模型zh_TW
DC.subject相關函數zh_TW
DC.subjectKrigingen_US
DC.subjectComputer experimentsen_US
DC.subjectAdditive modelsen_US
DC.subjectCorrelation functionen_US
DC.titleGaussian Process Modeling with Weighted Additive Kernelsen_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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