23 citations · 36 across the 7 of their papers we have counts for
8 papers
A genericity property of Fréchet sample means on Riemannian manifolds
David Groisser, Sungkyu Jung, Armin Schwartzman
Let be a Riemannian manifold. If is a probability measure on given by a continuous density function, one would expect the Fréchet means of data-samples $Q=(q_1,q_2,…
Averaging symmetric positive-definite matrices on the space of eigen-decompositions
Sungkyu Jung, Brian Rooks, David Groisser +1
We study extensions of Fréchet means for random objects in the space of symmetric positive-definite matrices using the scaling-rotation geometric fram…
Uniqueness questions in a scaling-rotation geometry on the space of symmetric positive-definite matrices
David Groisser, Sungkyu Jung, Armin Schwartzman
Jung et al. (2015) introduced a geometric structure on , the set of symmetric positive-definite matrices, based on eigen-decomposition. Eigenstructure…
Geometric foundations for scaling-rotation statistics on symmetric positive definite matrices: minimal smooth scaling-rotation curves in low dimensions
David Groisser, Sungkyu Jung, Armin Schwartzman
We investigate a geometric computational framework, called the "scaling-rotation framework", on , the set of symmetric positive-definite (SPD) matrices…
Scaling-rotation distance and interpolation of symmetric positive-definite matrices
Sungkyu Jung, Armin Schwartzman, David Groisser
We introduce a new geometric framework for the set of symmetric positive-definite (SPD) matrices, aimed to characterize deformations of SPD matrices by individual scaling of eigenv…
Newton's method, zeroes of vector fields, and the Riemannian center of mass
David Groisser
We present an iterative technique for finding zeroes of vector fields on Riemannian manifolds. As a special case we obtain a ``nonlinear averaging algorithm'' that computes the cen…