DSCI 473 - Introduction to Geometric Data Analysis

Time and Location: Jan 21 - Mar 16

Office Hours: Thursday 11:00am-11:50am in Weber 218

[Syllabus]

Tentative Schedule:

Week 1:

Lecture: Course overview and introduction to geometric data analysis [Week 1 Notes]

Lab 1: Python setup and introduction to Python and NumPy [Supplementary: Introduction to Python Notebook

Week 2:

Lecture: The singular value decomposition and low rank approximations [Week 2 Notes]

Lab 2: SVD and low rank approximations in Python

Week 3:

Lecture: Principal component analysis [Week 3 Notes]

Lab 3: PCA in Python

Week 4:

Lecture: Clustering [Week 4 Notes]

Lab 4: Clustering in Python

Week 5:

Lecture: Multidimensional scaling [Week 5 Notes]

Lab 5: MDS in Python

Week 6:

Lecture: Graph Laplacians and Laplacian eigenmaps [Week 6 Notes]

Lab 6: Laplacian eigenmaps in Python

Week 7:

Lecture: Geometric classification: support vector machines and linear discriminant analysis  [Week 7 Notes]

Lab 7: SVM and LDA in Python

Week 8: Final presentations, in Clark C 361 (the usual classroom) [Final Presentation Guidlines]

Tuesday Mar 11: Review/work on projects

Thursday Mar 13, 9:30am-10:45am: Final presentations

Friday Mar 14, 10-10:50am: Final presentations