Overview
Syllabus
Intro
Metric representations: Algorithms and Geometry
Classical multi-dimensional scaling
Metric repair: definitions
Metric Repair Formally
General problem formulation: metric constrained problems
Optimization techniques: existing methods
Project and Forget
Metric violations: Separation oracle
Metric violations: shortest path
Bregman projection
Theoretical results: Summary Theorem
Extensions and applications
Metric repair: traditional techniques
Three Repair Scenarios: Constrain P
Extensions and generalizations
Graph metric repair: results summary
Dimensionality Reduction Algorithms
Taught by
Joint Mathematics Meetings