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math.ST2021
Bridge Simulation and Metric Estimation on Lie Groups
Mathias Højgaard Jensen, Sarang Joshi, Stefan Sommer
We present a simulation scheme for simulating Brownian bridges on complete and connected Lie groups. We show how this simulation scheme leads to absolute continuity of the Brownian…
math.ST2012★ 9 cited
Polynomial Regression on Riemannian Manifolds
Jacob Hinkle, Prasanna Muralidharan, P. Thomas Fletcher +1
In this paper we develop the theory of parametric polynomial regression in Riemannian manifolds and Lie groups. We show application of Riemannian polynomial regression to shape ana…