Publication year: 2020
ISBN: 978-3-030-38438-8
Internet Resource: Please Login to download 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.
Subject: 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