210 citations · 232 across the 11 of their papers we have counts for
3 papers · 1 filter
Group Analysis of Self-organizing Maps based on Functional MRI using Restricted Frechet Means
Arnaud P. Fournel, Emanuelle Reynaud, Michael J. Brammer +2
Studies of functional MRI data are increasingly concerned with the estimation of differences in spatio-temporal networks across groups of subjects or experimental conditions. Unsup…
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…
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…