English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  Items with full text/Total items : 109948/140897 (78%)
Visitors : 46119077      Online Users : 480
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
    •  Adv. Search
    Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer Goto mobile version
    政大機構典藏 > 商學院 > 統計學系 > 期刊論文 >  Item 140.119/18213


    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/18213


    Title: 投影追蹤法近年研究之回顧
    Other Titles: A review on recent developments in projection pursuit method
    Authors: 鄭天澤;甘貴華
    Jeng, Tian Tzer;Gan, Guey Hwa
    Keywords: 主成分分析;投影指數;投影追蹤法;探測性資料分析;熵指數;數值方法;叢聚性
    clustering;cutropy index;exploratory data;analysis numerical methods;principle componants;projection index;projectional pursuit
    Date: 1990-09
    Issue Date: 2008-12-19 14:55:58 (UTC+8)
    Abstract: 將高維資料投影至低維空間有助於對資料特性的瞭解，故縮減資維度一直是多變量資料分析的主要技術。而投影追蹤法 (projection pursuit) 正是一種致力於這方面研究的新方法。其最重要部分是投影指數的設定，用以指出使用者之興趣與意圖，且由於可針對不同問題設定不同投影指數，因此許多多變量分析技術都可視為投影追蹤法的特例，例如：將投影指數設定為投影後資料的變異數，則推導出主成分分析；若設定一分類規則的錯誤率則可推導出線性判別分析...等等 (這些最適解亦可由線性代數方法求出)。至於探測性資料分析方面的研究，如勘察資料的非線性結構及叢聚特性等，則必須用數值方法並輔以電腦功能來施行。投影追蹤法在許多應用方面已大有斬獲，本文就投影追蹤法這項新技術的起源、發展、沿革與應用，做一廣泛而密集的介紹。
    Understanding high-dimensional data through the use of lower-dimensional projections is a major technique in multivariate data analysis. Projection pursuit is a newly developed method along the same direction. The central part of projection pursuit method is the definition of“projection index" ,which points out the interestingness and goal of the user. Since the choice of a projection is usually guided by an appropriate definition of projection index, many classical multivariate data analysis methods are special cases of projection pursuit yia different definitions of projection indices. For example, if the projection index is defined as the variance-covariance matrix of the projected data, it leads to the principal components analysis; if the purpose is to seperate two samples (with certain assumptions), then the appropriate projection index is the error rate of a one-dimensional classification rule in the projection, leading to linear discriminant analysis. Projection pursuit uses numerical methods together with high-speed computers to provide us insight of the data set in different directions such as clustering or other nonlinear structures. This article describes the origin, development, improvement of the method of projection pursuit and its applications.
    Relation: 中國統計學報, 28(2), 213-226
    Data Type: article
    Appears in Collections:[統計學系] 期刊論文

    Files in This Item:

    File SizeFormat
    9.pdf1705KbAdobe PDF21650View/Open


    All items in 政大典藏 are protected by copyright, with all rights reserved.


    社群 sharing

    著作權政策宣告 Copyright Announcement
    1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
    The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

    2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
    NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback