- Series
- Stochastics Seminar
- Time
- Thursday, April 25, 2024 - 3:30pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- March Boedihardjo – Michigan State University – boedihar@msu.edu – https://apps.math.msu.edu/PageSpace/pb/boedihardjo
- Organizer
- Mayya Zhilova
I will give essentially matching upper and lower bounds for the expected max-sliced 1-Wasserstein distance between a probability measure on a separable Hilbert space and its empirical distribution from n samples. A version of this result for Banach spaces will also be presented. From this, we will derive an upper bound for the expected max-sliced 2-Wasserstein distance between a symmetric probability measure on a Euclidean space and its symmetrized empirical distribution.