Home Page for UNC - STOR 891

Object Oriented Data Analysis

Fall Semester, 2012

Lecture notes:

  1. Tuesday, Aug. 21 - Power Point Notes - Organizational Matters - What is OODA? - Visualization by Projection - Object Space and Feature Space - Curves as Data Objects - Data Representation Issues - PCA Visualization - Mortality Data

  2. Thursday, Aug. 23 - Power Point Notes - PCA Terminology - Time Series of Curves & Color Coding - Chemo-metric Data - Glioblastoma Data & Brushing - Limitations of PCA - NCI 60 Data - Directions Beyond PCA, DWD

  3. Tuesday, Aug. 28 - Power Point Notes - Gene Cell Cycle Data - Microarrays, Data Visualization, and Batch Adjustment - Matlab Software [Matlab Script File used as example] - Cornea Data

  4. Thursday, Aug. 30 - Power Point Notes - Cornea Data - Robust HDLSS (Spherical) PCA - Elliptical PCA -

  5. Tuesday, Sep. 4 - Power Point Notes - Marginal Distribution Checking - Data Transformation - Clusters & PCA - Mass Flux Data - Smoothing Basics - Bandwidth Selection - SiZer

  6. Thursday, Sep. 6 - Power Point Notes - Finish SiZer - Revisit Mass Flux Data - SiZer Analysis of Cell Cycle Data - Classification - Fisher Linear Discrimination -

  7. Tuesday, Sep. 11 - Power Point Notes - HDLSS Discrimination - Kernel Methods

  8. Thursday, Sep. 13 - Power Point Notes - Support Vector Machines- Distance Weighted Discrimination

  9. Tuesday, Sep. 18 - Power Point Notes - DWD & Survival Data - DWD Simulations - DWD & SVM Tuning - Melanoma Data & ROC Curve - Clustering

  10. Thursday, Sep. 20 - Power Point Notes - SWISS score - SigClust, QQ Envelope plot  PP: Juan Carlos Prietos - Texture Synthesis

  11. Tuesday, Sep. 25 - Power Point Notes - Finish QQ Envelope Plot & SigClust - Linear Algebra Review

  12. Thursday, Sep. 27 - Power Point Notes - Multivariate Probability Review - PCA Folklore - PCA as an optimization Problem - PCA Mathematics and Graphics - PCA Redistribution of Energy - PCA Data Representation & Simulation

  13. Tuesday, Oct. 2 - Power Point Notes - Alternate PCA Computation & SVD - Primal & Dual PCA - SVD Data Analysis & Recentering

  14. Thursday, Oct. 4 - Power Point Notes - Primal & Dual PCA - SVD Data Analysis & Recentering - HDLSS asymptotics - PP: Heather Couture - Tissue Classification

  15. Tuesday, Oct. 9 - PDF Notes - Guest Lecture - Susan Wei - DiProPerm High Dimensional Hypothesis Testing

  16. Thursday, Oct. 11 - PDF Notes - Guest Lecture, Dan Shen - HDLSS Sparse PCA & Big Picture PCA Asymptotics

  17. Tuesday, Oct. 16 - PDF Notes - Guest Lecture - Xiaosun Lu - Cell-Well Data Objects & Fisher Rao Curve Warping

  18. Thursday, Oct. 18 - No Class - University Fall Break

  19. Tuesday, Oct. 23 - Power Point Notes - HDLSS Asymptotics - Kernel Methods in High Dimensions - Introduction to Shape Statistics - Directional Data - PP: Patrick Kimes - Introduction to L-Statistics

  20. Thursday, Oct. 25 - Power Point Notes - Image Analysis & OODA - Shape Representations - Bladder Prostate Rectum Data - Data on Manifolds - Principal Geodesic Analysis - PP: Chong Shao - Multi-Object Statistics   

  21. Tuesday, Oct. 30 - Power Point Notes - Principal Geodesic Analysis - Principal Nested Spheres -  Backwards PCA - PP: Jared Vicory - Statistics on S-rep Differences - PP: Yazong Gao - Fast Prostate Localization

  22. Thursday, Nov. 1 - Power Point Notes - Composite Principal Nested Spheres - Variation on Shape Analysis: Transformations as Data Objects - Trees as Data -  PP: Yen Low - Intro to QSAR

  23. Tuesday, Nov. 6 - Power Point Notes - Trees as Data, Combinatorial Approach, D-L Visualization - PP: Beatriz Paniagua - Quantification of 3D Bony Changes in Temporomandibular Joint Osteoarthritis - PP: Jie Xiong - PCA/DWD on Next Gen Sequencing Data - PP: Lin Wu - Data Visualization

  24. Thursday, Nov. 8 - Power Point Notes -Trees as Data, Combinatorial PCA, D-L view, Begin Phylogenetic Trees   - PP: Gen Li - Biclustering Classification - PP: James Wilson - Clustering on Networks - PP: Guan Yu - Outlier Detection in Functional Observations - PP: Tian Cao - Multimodal Registration    

  25. Tuesday, Nov. 13 - PDF Notes - Guest Lecture - Lingsong Zhang - Nonnegative Matrix Factorization

  26. Thursday, Nov. 15 - PDF Notes - Guest Lecture - Eric Lock - Joint and Individual Variation Explained

  27. Tuesday, Nov. 20 - Power Point Notes - Phylogenetic Trees, Common Leafs for Artery Trees, Edges as Splits - PP: Di Miao - JIVE on Glioblastoma Data  - PP: Yi Hong - Statistics on Pediatric Airway - PP: Jenny Shi - Some Statistical Approaches to RNA Substitution Analysis   

  28. Thursday, Nov. 22 - No Class - University Holiday: Thankgiving

  29. Tuesday, Nov. 27 - Power Point Notes - Phylogenetic Trees, Geodesics, Frechet Mean - PP: Qianwen Liu - Weather Data Analysis - PP: Ben Morris - Functional analysis of ecological communities - PP: Yuying Xie - Joint Estimation of Multiple Dependent Gaussian Graphical Models - PP: Zane Blanton - Boosted Regression Models 

  30. Thursday, Nov. 29 - Power Point Notes - Phylogenetic Trees, Multidimensional Scaling, Negative Curvature of Space - PP: Qing Feng  - Model selection methods for classification of Melanoma data - PP: Haojin Zhai - A polynomial time algorithm for computing geodesic distance in tree space - PP: Yang Liu - Factor analysis of binary item response data - PP: Eunjee Lee - Visualization of bottleneck distances in a persistence diagram 

  31. Tuesday, Dec. 4 - Power Point Notes - Independent Component Analysis - PP: Dongqing Yu - Nondurable Goods Index (Ramsay and Silverman Casebook) - PP: Simi Wang - Clustering in Network Data - PP: Bryan Jung - SPHARM and its applications - PP: Joseph Lavalle-Rivera - Human Growth Functional Data


Notes:


Potential Future Topics:


References:

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Course Information:

Instructor:

        J. S. Marron, Professor

Email:

        marron@unc.edu

Office:

        Hanes Hall 352    (in back hall behind central open area)

Phones:

        Office:    919-962-2188
        Home:    919-49302844
  

Office hours:

        When I am in my office (usually M, T, Th, priority to those with appointments)