[02394] Gaussian distributions on Riemannian symmetric spaces of non-positive curvature
Session Time & Room : 5D (Aug.25, 15:30-17:10) @F402
Type : Contributed Talk
Abstract : Learning from data that live in Riemannian manifolds has become central to many applications, ranging from radar signal processing to neuroscience. In this talk, we present a generalisation of Gaussian distributions to Riemannian symmetric spaces of non-positive curvature, which include hyperbolic spaces, as well as spaces of real, complex and quaternion positive definite matrices, and spaces of structured Toeplitz or block-Toeplitz positive definite matrices and discuss applications to geometric statistics on such spaces.
