5 papers
Ridge Regression on Riemannian Manifolds for Time-Series Prediction
Esfandiar Nava-Yazdani
We propose a natural intrinsic extension of ridge regression from Euclidean spaces to general Riemannian manifolds for time-series prediction. Our approach combines Riemannian leas…
Elastic Analysis of Augmented Curves and Constrained Surfaces
Esfandiar Nava-Yazdani
The square root velocity transformation provides a convenient and numerically efficient approach to functional and shape data analysis of curves. We study fundamental geometric pro…
De Casteljau's Algorithm in Geometric Data Analysis: Theory and Application
Martin Hanik, Esfandiar Nava-Yazdani, Christoph von Tycowicz
For decades, de Casteljau's algorithm has been used as a fundamental building block in curve and surface design and has found a wide range of applications in fields such as scienti…
On Geodesics in the Spaces of Constrained Curves
Esfandiar Nava-Yazdani
In this work, we study the geodesics of the space of certain geometrically and physically motivated subspaces of the space of immersed curves endowed with a first order Sobolev met…
A Hierarchical Geodesic Model for Longitudinal Analysis on Manifolds
Esfandiar Nava-Yazdani, Hans-Christian Hege, Christoph von Tycowicz
In many applications, geodesic hierarchical models are adequate for the study of temporal observations. We employ such a model derived for manifold-valued data to Kendall's shape s…