Multiscale geometric methods for noisy point clouds in high dimensions

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Event details

Date 20.12.2010
Hour 16:00
Speaker Prof. Mauro Maggioni
Location
ELD 220
Category Conferences - Seminars
We discuss techniques for the geometric multiscale analysis of intrinsically low-dimensional point clouds. We first show how such techniques may be used to estimate the intrinsic dimension of data sets, then discuss a novel geometric multiscale transform, based on what we call geometric wavelets, that leads to novel approximation schemes for point clouds, and dictionary learning methods for data sets. Finally, we apply similar techniques to model estimation when points are sampled from a measure supported on a union of an unknown number of unknown planes of unknown dimensions.

Practical information

  • General public
  • Free

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