Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computation
by M. Arnaudon, F. Barbaresco, L. Yang
Publisher: arXiv 2011
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.
Download or read it online for free here:
Download link
(900KB, PDF)
Similar books
A Panoramic View of Riemannian Geometryby Marcel Berger - Springer
In this monumental work, Marcel Berger manages to survey large parts of present day Riemannian geometry. The book offers a great opportunity to get a first impression of some part of Riemannian geometry, together with hints for further reading.
(11547 views)
Riemannian Geometryby Ilkka Holopainen, Tuomas Sahlsten
Based on the lecture notes on differential geometry. From the contents: Differentiable manifolds, a brief review; Riemannian metrics; Connections; Geodesics; Curvature; Jacobi fields; Curvature and topology; Comparison geometry; The sphere theorem.
(8047 views)
Riemannian Submanifolds: A Surveyby Bang-Yen Chen - 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.
(6663 views)
A Sampler of Riemann-Finsler Geometryby D. Bao, R. Bryant, S. Chern, Z. Shen - Cambridge University Press
Finsler geometry generalizes Riemannian geometry in the same sense that Banach spaces generalize Hilbert spaces. The contributors consider issues related to volume, geodesics, curvature, complex differential geometry, and parametrized jet bundles.
(13636 views)