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Workshop

Weighted Geodesic Distance Following Fermat's Principle

Facundo Sapienza · Pablo Groisman · Matthieu Jonckheere

East Meeting Level 8 + 15 #4

Wed 2 May, 4:30 p.m. PDT

We propose a density-based estimator for weighted geodesic distances suitable for data lying on a manifold of lower dimension than ambient space and sampled from a possibly nonuniform distribution. After discussing its properties and implementation, we evaluate its performance as a tool for clustering tasks. A discussion on the consistency of the estimator is also given.

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