Instructor:    J. S. Marron

Email:   marron@unc.edu

Office:   352 Hanes Hall

SyllabusSTOR881Fall2021

 

Course Notes

1.   STOR881-01-11-2022.pptx:  Organizational Matters, OODA Book, What is OODA?, Taste of OODA Examples (including Spanish Male Mortality, Amplitude – Phase, Shapes, Sounds, Faces), 3 Major Phases of OODA.
2.   STOR881-01-13-2022.pptx:  Visualization, Scatterplot Matrix Views, Principal Component Analysis (PCA), Object Space – Trait Space, Scree Plots.
3.   STOR881-01-18-2022.pptx:  Define Modes of Variation,  Prob. Dist’ns as data objects, PCA Toy & Real Examples, Shifted Parabolas Data, Lung Cancer Data, Limitation of PCA: Apple, Banana, Pear.
4.   STOR881-01-20-2022.pptx:  Limitations of PCA: NCI-60 Data, OODA Terminology, Caution about DWD, Inference using DiProPerm, Marginal Distribution Plots.
5. STOR881-01-25-2022.pptx:  Marginal Distribution Plot Analysis of Drug Discovery Data, Normalization and Correlation PCA, Transformations.
6. STOR881-01-27-2022.pptx:  Melanoma Data, Automatic Shifted Log Transformation, ROC Curve to Quantify Impact of Transformation on Gene Expression Data, Heatmap Data Visualization.
7. STOR881-02-01-2022.pptx:  Finish Heat Maps, Lung Cancer Data, Other Directions for Scatterplot Views, Centering, Details of PCA, Review Linear Algebra, Covariance Matrices, PCA as Optimization.
8. STOR881-02-03-2022.pptx:  Finish PCA as Optimization, Alternate Viewpoints of PCA (Data Representation, Distribution of Energy, Simulation, Comparison to SVD)Distance Methods.
9. STOR881-02-08-2022.pptx: Distance Methods, Distance Based Centers, Multidimensional Scaling, Shapes as Data Objects, Shape Representations (Landmark, Boundary, Shape)Male Pelvis Data.
10. STOR881-02-10-2022.pptx:  Male Pelvis Data, Manifold Data, Directional Data, S-rep Analysis.
11. STOR881-02-15-2022.pptx:  Principal Geodesic Analysis, Polysphere PCA, Torus PCA.  Taebin Kim:  Stain Normalization, Sherry Shuxian Wang: reconstruction and modeling from colonoscopy video 
12. STOR881-02-17-2022.pptx:   Scaled Torus PCA, Principal Nested Spheres, Nonnegative Nested Cone Analysis, Principal Curves and Surfaces.  SooHyun Kim: Reading the Stars of Online Reviews: A Look into the Boundary Conditions of Helpfulness
    
13. STOR881-02-22-2022.pptx: General Motivation for Backwards Methods, Curve Registration, Shifted Betas Example, Amplitude and Phase Modes of Variation.  Panos Andreou: Estimating the Transition Matrix of a Markov Chain
    
14. STOR881-02-24-2022.pptx:  Amplitude and Phase Modes of Variation, Fisher-Rao Curve Estimation.  Joseph Lavond: Fast Adversarial Training,  Sam Ehrenstein:  Non-Contrast Ultrasound Imaging of Blood Microvessels using SVD
15. STOR881-03-01-2022.pptx:  Principal Nested Spheres on SRVF Sphere, Juggling Data, Classification – Discrimination: Basics (k-NN, Linear Classifiers), Mean Difference.   Younghoon Kim: Simultaneous Component Analysis for Joint and Individual Models, Hong Dang: Single-cell RNA-seq from SARS-CoV-2 infected human airway epithelial cells
    
16. STOR881-03-03-2022.pptx: Linear Discriminant Analysis (non-parametric and likelihood derivations), HDLSS Classification.  Kenya Vazquez Martinez: Kippenhahn curves of some tridiagonal matrices
17. STOR881-03-08-2022.pptx: HDLSS Classification, Maximal Data Piling, Kernel Methods.  Rui Liu: Hi-C Data Analysis, Nick Tapp-Hughes: Introduction to Skeletal Representations
    
18. STOR881-03-10-2022.pptx:  Kernel Methods, Kernel PCA, t-SNE Visualization, Support Vector Machine.  Brian White: extreme value analysis of sea-level time series data, John Lin:  Acute Leukemia Classification using Nanopore Sequencing Data
19. STOR881-03-15-2022.pptx:  Spring Break
    
20. STOR881-03-17-2022.pptx:  Spring Break 
21. STOR881-03-22-2022.pptx:  Revisit SVM Optimization, SVM Tuning and Extensions, Distance Weighted Discrimination, DWD Simulations, Compare DWD, SVM and MD Visualizations, DWD Batch Adjustment,  Alice Peng: Studying Epstein-Barr with qPCR and PCA Darius Bost: Meta-analysis of Predicted Expression on Addiction Traits
    
22. STOR881-03-24-2022.pptx:  DWD Source & Batch Adjustment, NCI-60 Data, Why not Adjust by Means?, Radial DWD, Data Integration,  Jordan Valone: Context specific effects of genetic variation in response to Wnt pathway activation, Darius Bost: Meta-analysis of Predicted Expression on Addiction Traits
23. STOR881-03-29-2022.pptx:  Partial Least Squares, Canoncical Correlation Analysis, Angle Based Joint and Individual Variation Explained (AJIVE), FMRI Data,  Minji Kim: Step Data Clustering via Thick Pen Transform, Parvathi Meyyappan: Classifying Fuel Type from Chemical Compounds in Wildfire Smoke Samples
24. STOR881-03-31-2022.pptx: Finish FMRI Data, AJIVE Algorithm and Diagnostics, Breast Cancer Images and Genomics,  Xianwen He: County-level GDP estimation around Chinese Mainland via CNN from remote sensing data,  Andy Ackerman: Data Integration for MRI
25. STOR881-04-05-2022.pptx:  Multiple Genomics in Breast Cancer, Amplification Adjustment in Single Cell RNAseq, Data Integration Via Analysis of Subspaces (DIVAS), DIVAS Toy Example, DIVAS on TCGA Data, High Dimension Low Sample Size (HDLSS) Analysis,  Ben Brown: Binary Expansion Testing,  Adrian Allen: A Tree-based Method for Parcellating the Brain Based on Its Structural and Functional Connectivity, Izzy Wiesenthal: Eliminating Acoustic Feedback in Hearing Aids
    
26. STOR881-04-07-2022.pptx:  DIVAS on TCGA Data, Introduction to High Dimension Low Sample Size Asymptotics, Explanation of DWD Visualization, Technical Assumptions, Zero Covarince is Not Independence, Mixing Conditions,   Jeff Ayers: Solutions of the Quantum Differential Equation,  Hank Flury: Bivariate Estimation for Spatial Processes
27. STOR881-04-12-2022.pptx:  HDLSS Analysis of PCA, HDLSS Explanation of Earlier Observations,  Yang Luo: Halpern-Type Accelerated Algorithms For Monotone Inclusions,  Madison Lindsay: Analysis of a State-Dependent Markovian Queuing System
28. STOR881-04-14-2022.pptx:  Wellness Day
    
29. STOR881-04-19-2022.pptx: Introduction to Random Matrix Theory, Macenko-Pastur Distribution, K-Means Clustering,  Bongsoo Yi:  Adversarial Attack on Object Detection, Fengyu Yang: Method of moments for protein structuring from cryo-electron microscopy, Wan Zhang: Nonparametric prediction distribution from resolution-wise regression with heterogeneous data
    
30. STOR881-04-21-2022.pptx:  Hierarchical Clustering, SigClust,  Liubov Arbeeva:  Accelerometer Data Analysis,  Shaleni Kovach:  Generative models for brain imaging data, Puyao Ge: Vaccine Distributoin Policy
    
31. STOR881-04-26-2022.pptx:  SigClust, Smoothing, SiiZer,  Jimin Choi: Human trait prediction using brain connectome data, Kyungjin Sohn: Brain age prediction using deep learning uncovers associated sequence variants Emma Mitchell: Using a Dirichlet Mixture Model to Detect Concomitant Changes in Allele Frequencies, Elyse Borgert:  Topological Data Analysis
    

 

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