43 citations · 47 across the 3 of their papers we have counts for
4 papers
Medians and means in Riemannian geometry: existence, uniqueness and computation
Marc Arnaudon, Frédéric Barbaresco, Le Yang
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 me…
Some properties of Fréchet medians in Riemannian manifolds
Le Yang
The consistency of Fréchet medians is proved for probability measures in proper metric spaces. In the context of Riemannian manifolds, assuming that the probability measure has mor…
Stochastic algorithms for computing means of probability measures
Marc Arnaudon, Clément Dombry, Anthony Phan +1
Consider a probability measure supported by a regular geodesic ball in a manifold. For any p larger than or equal to 1 we define a stochastic algorithm which converges almost surel…
Riemannian Median and Its Estimation
Le Yang
In this paper, we define the geometric median of a probability measure on a Riemannian manifold, give its characterization and a natural condition to ensure its uniqueness. In orde…