An Invitation to Statistics in Wasserstein Space
- Author
- Victor M. Panaretos, Yoav Zemel
- Publication Year
- 2020
- Publisher
- Springer
- Language
- English
- Document Type
- Book
- Faculty / Subject Heading
- Computer Science
- Download Book Read book
This book presents the key aspects of statistics in Wasserstein spaces, i.e. statistics in the space of probability measures when endowed with the geometry of optimal transportation.
Keywords: Mathematics and Statistics / Probability Theory and Stochastic Processes / Optimal Transportation / Monge-Kantorovich Problem / Barycenter / Multimarginal Transport / Functional Data Analysis / Point Processes / Random Measures / Manifold Statistics / Geometrical statistics / Wasserstein metric / Fréchet mean / Procrustes analysis / Phase variation / Gradient descent
