選課分析
| Final Presentation | 100 |
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 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.
Nonparametric Statistic on Manifolds and their Applications to Object Data Analysis, by Vic Patrangenaru,
Leif Ellingson, 2015, Chapman Hall/CRC