Course Structure

We will cover non-Euclidean machine learning in three main categories: learning on non-Euclidean domains, learning non-Euclidean embeddings and working in non-Euclidean parameter spaces. In addition to the standard optimization tools for enabling these methods, we will also cover Bayesian methods and in particular sampling on non-Euclidean domains. A quick taxonomy of this course is given below:

structure image


Detailed Schedule

Date Description Location Suggested Readings Events
Week 2 / Monday, Jan. 13, 9:00 - 11:00 Introduction: Syllabus, motivation, history & basics of geometry HXLY 144 - -
Week 2 / Thursday, Jan. 16, 9:00 - 11:00 Basics of geometry of curves and surfaces HXLY 144 Chp. 3 Lee -
Week 3 / Monday, Jan. 20, 9:00 - 11:00 Differential & Riemannian Geometry HXLY 144 - -
Week 3 / Wednesday, Jan. 22, 10:00 - 11:00 Office Hours HXLY 342 - -
Week 3 / Thursday, Jan. 23, 9:00 - 11:00 Geodesics & Riemannian Geometry HXLY 144 Chp. 1 Petersen Assignment 1 Release
Week 4 / Monday, Jan. 27, 9:00 - 11:00 Riemannian Geometry & Optimization on Manifolds HXLY 144 Chapters 3 & 4 in Optimization on Smooth Manifolds -
Week 4 / Thursday, Jan. 30, 9:00 - 11:00 Tutorial 1 HXLY 144 - -
Week 5 / Monday, Feb. 03, 9:00 - 11:00 Optimization & Algorithms on Riemannian Manifolds HXLY 144 Karcher Mean, Sphere and Hyperboloid Example, PGA, h-MDS -
Week 5 / Wednesday, Feb. 05, 10:00 - 11:00 Office Hours HXLY 342 - -
Week 5 / Thursday, Feb. 06, 9:00 - 11:00 Algorithms & Applications HXLY 144 Edelman et al. 1998, Optimization Algorithms on Matrix Manifolds (Ch. 1-4) -
Week 6 / Monday, Feb. 10, 9:00 - 11:00 From Smooth Manifolds to Discrete Structures HXLY 144 Convergence of Geodesics, IsoMap paper Final Project Release
Week 6 / Thursday, Feb. 13, 9:00 - 11:00 Tutorial 2 HXLY 144 - -
Week 7 / Monday, Feb. 17, 9:00 - 11:00 Manifolds, Graphs, Convolutions and Networks HXLY 144 Convergence of the Laplacian, SSL, Laplacian Eigenmaps, Section IV in GDL Survey, Spectral Clustering Assignment 1 Submission
Week 7 / Tuesday, Feb. 18, 14:00 - 15:00 Office Hours HXLY 5th Floor Common Room - -
Week 7 / Thursday, Feb. 20, 9:00 - 11:00 Lecture HXLY 144 - -
Week 8 / Monday, Feb. 24, 9:00 - 11:00 Lecture HXLY 144 -
Week 8 / Tuesday, Feb. 25, 14:00 - 15:00 Office Hours HXLY 5th Floor Common Room - -
Week 8 / Thursday, Feb. 27, 9:00 - 11:00 Tutorial 3 HXLY 144 - -
Lecture
Week 9 / Monday, Mar. 03, 9:00 - 11:00 Lecture HXLY 144 - -
Week 9 / Tuesday, Mar. 04, 14:00 - 15:00 Office Hours HXLY 5th Floor Common Room - -
Week 9 / Thursday, Mar. 06, 9:00 - 11:00 Lecture HXLY 144 - -
Week 10 / Monday, Mar. 10, 9:00 - 11:00 Lecture HXLY 144 - -
Week 10 / Tuesday, Mar. 10, 14:00 - 15:00 Office Hours HXLY 5th Floor Common Room - -
Week 10 / Thursday, Mar. 13, 9:00 - 11:00 Tutorial 4 HXLY 144 - -
Lecture
Week 11 / Monday, Mar. 17, 9:00 - 11:00 - HXLY 144 - Final Project Submission