Multiscale covariance fields, local scales, and shape transforms
Date
2013
Authors
Martinez, Diego H. Diaz
Memoli, Facundo
Mio, Washington
Editors
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Conference paper
Citation
Lecture Notes in Computer Science, 2013 / F. Nielsen, F. Barbaresco (eds.), pp.794-801
Statement of Responsibility
Diego H. Diaz Martinez, Facundo Mémoli, and Washington Mio
Conference Name
International SEE Conference on Geometric Science of Information (1st : 2013 : Paris)
Abstract
We introduce the notion of multiscale covariance tensor fields associated with a probability measure on Euclidean space and use these fields to define local scales at a point and to construct shape transforms. Local scales at x may be interpreted as scales at which key geometric features of the data organization around x are revealed. Shape transforms are employed to identify points that are most salient in terms of the local-global shape of a probability distribution, yielding a compact summary of the geometry of the distribution.
School/Discipline
School of Computer Science
Dissertation Note
Provenance
Description
Access Status
Rights
© Springer-Verlag Berlin Heidelberg 2013