Multiscale Geometric Methods for Data Sets I: Multiscale SVD, Noise and Curvature

Large data sets are often modeled as being noisy samples from probability distributions in R^D, with D large. It has been noticed that oftentimes the support M of these probability distributions seems to be well-approximated by low-dimensional sets, perhaps even by manifolds. We shall consider sets...

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Bibliographic Details
Main Authors: Little, Anna V., Maggioni, Mauro, Rosasco, Lorenzo
Other Authors: Tomaso Poggio
Published: 2012
Subjects:
Online Access:http://hdl.handle.net/1721.1/72597