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math.ST2012★ 14 cited
Strong Consistency of Frechet Sample Mean Sets for Graph-Valued Random Variables
Cedric E. Ginestet
The Frechet mean or barycenter generalizes the idea of averaging in spaces where pairwise addition is not well-defined. In general metric spaces, the Frechet sample mean is not a c…
math.ST2012
Weighted Frechet Means as Convex Combinations in Metric Spaces: Properties and Generalized Median Inequalities
Cedric E. Ginestet, Andrew Simmons, Eric D. Kolaczyk
In this short note, we study the properties of the weighted Frechet mean as a convex combination operator on an arbitrary metric space, (Y,d). We show that this binary operator is…