Wasserstein Distributionally Robust Optimization - Theory and Applications in Machine Learning
Institute for Pure & Applied Mathematics (IPAM) via YouTube
Overview
Syllabus
Intro
Decision-Making under Uncertainty
Data-Driven Decision-Making
Nominal Distribution
Estimation Errors
Wasserstein Distance
Stability Theory
Distributionally Robust Optimization (DRO)
Wasserstein DRO
Gelbrich Bound (p = 2)
Strong Duality
Piecewise Concave Loss
Main Takeaways
Warst-Case Risk for p = 1
Computing the Gelbrich Bound
Piecewise Quadratic Lass
Classification
Regression
Maximum Likelihood Estimation
Minimum Mean Square Error Estimation
Taught by
Institute for Pure & Applied Mathematics (IPAM)