An Invitation to Statistics in Wasserstein Space

An Invitation to Statistics in Wasserstein Space

المؤلف
Victor M. Panaretos, Yoav Zemel
سنة النشر
2020
الناشر
Springer
لغة الملف
انكليزي
نوع الملف
Book
تصنيف الكتاب
Computer Science

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.


الكلمات المفتاحية: 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