6192 - 物件資料分析

Object Data Analysis

教育目標 Course Target

Object data analysis is the most general type of data analysis that is known in Statistics. Technically, this is
Data analysis on object spaces with a manifold stratification. Data on manifolds originally arose in astronomy,
meteorology, geology, cartography, biology and physics. The foundation of Nonparametric Statistics on
manifolds includes large sample theory on manifolds, density estimation on manifolds, inference on
manifolds, and other techniques originating from multivariate analysis. We will also focuses on concrete
applications in Astronomy, Image Analysis, Medical Imaging, Bioinformatics, Computer Vision and 3D scene
recognition, etc.

Object data analysis is the most general type of data analysis that is known in Statistics. Technically, this is
Data analysis on object spaces with a manifold strategy. Data on manifolds originally around in astronomy,
meteorology, geology, cartography, biology and physics. The foundation of Nonparametric Statistics on
manifolds include large sample theory on manifolds, density estimation on manifolds, inference on
manifolds, and other techniques originating from multivariate analysis. We will also focus on concrete
applications in Astronomy, Image Analysis, Medical Imaging, Bioinformatics, Computer Vision and 3D scene
recognition, etc.

課程概述 Course Description

物件資料分析是以圖像為主導的資料分析。有別於一般的數據資料分析,物件資料分析會將物件套用至幾何空間上,利用其性質去輔助統計分析(流形上的統計推論、大樣本理論、無母數分析等)。

Object data analysis is image-oriented data analysis. Different from general data analysis, object data analysis will apply objects to a large space, using their properties to assist statistical analysis (statistical recommendations on manifolds, large-sample theory, masterless analysis, etc.).

參考書目 Reference Books

Nonparametric Statistic on Manifolds and their Applications to Object Data Analysis, by Vic Patrangenaru,
Leif Ellingson, 2015, Chapman Hall/CRC

Nonparametric Statistic on Manifolds and their Applications to Object Data Analysis, by Vic Patragenaru,
Leif Ellingson, 2015, Chapman Hall/CRC

評分方式 Grading

評分項目
Grading Method
配分比例
Percentage
說明
Description
Final Presentation
Final Presentation
100

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課程資訊 Course Information

基本資料 Basic Information

  • 課程代碼 Course Code: 6192
  • 學分 Credit: 3-0
  • 上課時間 Course Time:
    Wednesday/6,7,8[M438]
  • 授課教師 Teacher:
    黃家俊
  • 修課班級 Class:
    統計碩1,2
選課狀態 Enrollment Status

目前選課人數 Current Enrollment: 7 人

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