Geometric mean flows and the Cartan barycenter on the Wasserstein space over positive definite matrices
نویسندگان
چکیده
منابع مشابه
Wasserstein Riemannian Geometry of Positive-definite Matrices∗
The Wasserstein distance on multivariate non-degenerate Gaussian densities is a Riemannian distance. After reviewing the properties of the distance and the metric geodesic, we derive an explicit form of the Riemannian metrics on positive-definite matrices and compute its tensor form with respect to the trace scalar product. The tensor is a matrix, which is the solution of a Lyapunov equation. W...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2017
ISSN: 0024-3795
DOI: 10.1016/j.laa.2017.07.017