STAT 321 UNC

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  • UNC STAT 321 Fall 2009
    Evolution of functional traits (Recap) Traits as functions: functional, functionvalued, infinite-dimensional A primer in evolutionary models: Variation, inheritance, selection, evolution Approaches to analysing functional traits: understanding
  • UNC STAT 321 Fall 2009
    From Last Meetings Studying Covariance vs. Correlation PCA: From Toy examples: It can make a big difference Not clear which is \"better\" Issues understood via: \"how point cloud relates to coordinate axes\" Explore Rescalings (cont.) E.g. 5: Corpus
  • UNC STAT 321 Fall 2009
    From Last Meeting Studying Independent Component Analysis (ICA) Idea: Find \"directions that maximize independence\" Parallel Idea: Find directions that maximize \"non-Gaussianity\" References: Hyvrinen and Oja (1999) Independent Component Analysis:
  • UNC STAT 321 Fall 2009
    From Last Meeting Studied Fisher Linear Discrimination Mathematics \"Point Cloud\" view Likelihood view Toy examples Extensions (e.g. Principal Discriminant Analysis) Polynomial Embedding Aizerman, Braverman and Rozoner (1964) Automation and Remote C
  • UNC STAT 321 Fall 2009
    From last meetings Goal 1: Understanding Population Structure PCA: illustrated with Cornea Data Goal 2: Discrimination (classification) Corpora Callosa data F. L. D. failed Now derive \"Orthogonal Subspace Projection\" Corpora Callosa Data Show Corp
  • UNC STAT 321 Fall 2009
    From last meeting Class Web Page: http:/www.stat.unc.edu/faculty/marron/321FDAhome.html Functional Data Analysis: what is the \"atom\"? Goal I: Understanding \"population structure\". Important duality: Object Space Feature Space Powerful method:
  • UNC STAT 321 Fall 2009
    From Last Meeting Studying Independent Component Analysis (ICA) References: Hyvrinen and Oja (1999) Independent Component Analysis: A Tutorial, http:/www.cis.hut.fi/projects/ica Lee, T. W. (1998) Independent Component Analysis: Theory and Applicat
  • UNC STAT 321 Fall 2009
    Statistics 321: Spring Semester 2001 Functional Data Analysis Class meetings: Tuesday Thursday 9:30 10:45 Room 07 Gardner Hall Professor: J. S. Marron Email: marron@email.unc.edu Office: 304 New West Phones: (Office) 962-2188 (Home) 493-2844 Per
  • UNC STAT 321 Fall 2009
    Par. Sp. X, Disc: SVM, Embed: x ,x2 only 1 Par. Sp. X, Disc: SVM, Embed: x ,x2,x2 1 1 Par. Sp. X, Disc: SVM, Embed: x ,x2,x2 1 2 Par. Sp. X, Disc: SVM, Embed: x ,x2,x2,x2 1 1 2 Par. Sp. X, Disc: SVM, Embed: x ,x2,x2,x2,x1x2 1 1 2 Par. Sp. X, Dis
 
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