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Activity Number: 411
Type: Topic Contributed
Date/Time: Wednesday, August 9, 2006 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Computing
Abstract - #305841
Title: Metric MDS to Surfaces
Author(s): David Johannsen*+ and Jeffrey L. Solka
Companies: Naval Surface Warfare Center and Naval Surface Warfare Center
Address: Code B10, Dahlgren, VA, 22448,
Keywords:
Abstract:

We will present our work on metric MDS to (closed and orientable) surfaces equipped with a (uniquely determined) compatible constant curvature metric. We will describe our algorithm for performing the MDS via the minimization of a loss function. We also will describe briefly the obvious generalization of these results to higher dimensions (i.e., MDS to space forms). Finally, we will discuss the issues of visualization (in the case of surfaces) and describe how one performs the minimization (via gradient descent on a Riemannian manifold).


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