Avviso di Seminario:
Speaker: Rajendra Bhatia
Affiliation: Indian Statistical Institute, Delhi
Date: July 11
Time: 11:00 -- 12:00
Place: Aula Magna
Title: The Bures-Wasserstein distance on positive definite matrices
Abstract:
We will discuss an interesting metric on the space of positive definite
matrices, called the Bures distance in the quantum information
literature and the Wasserstein metric in optimal transport. This has
connections with Riemannian geometry, statistics, QIT and optimal
transport. We will explain these connections. The two-variable and
several-variable mean with respect to this metric will be described. Our
perspective from matrix analysis leads to simpler proofs and suggests
new problems.
