Logo

Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computation

Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computation
by

Publisher: arXiv
Number of pages: 48

Description:
This paper is a short summary of our recent work on the medians and means of probability measures in Riemannian manifolds. Firstly, the existence and uniqueness results of local medians are given. In order to compute medians in practical cases, we propose a subgradient algorithm and prove its convergence.

Home page url

Download or read it online for free here:
Download link
(900KB, PDF)

Similar books

Book cover: Lectures on Geodesics in Riemannian GeometryLectures on Geodesics in Riemannian Geometry
by - Tata Institute of Fundamental Research
The main topic of these notes is geodesics. Our aim is to give a fairly complete treatment of the foundations of Riemannian geometry and to give global results for Riemannian manifolds which are subject to geometric conditions of various types.
(4912 views)
Book cover: Holonomy Groups in Riemannian GeometryHolonomy Groups in Riemannian Geometry
by - arXiv
The holonomy group is one of the fundamental analytical objects that one can define on a Riemannian manfold. These notes provide a first introduction to the main general ideas on the study of the holonomy groups of a Riemannian manifold.
(4310 views)
Book cover: Lectures on Differential GeometryLectures on Differential Geometry
by - University of California
Foundations of Riemannian geometry, including geodesics and curvature, as well as connections in vector bundles, and then go on to discuss the relationships between curvature and topology. Topology will presented in two dual contrasting forms.
(6411 views)
Book cover: Riemannian Submanifolds: A SurveyRiemannian Submanifolds: A Survey
by - arXiv
Submanifold theory is a very active vast research field which plays an important role in the development of modern differential geometry. In this book, the author provides a broad review of Riemannian submanifolds in differential geometry.
(3154 views)