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Proceedings Paper

Finding the closest probabilistic Parseval frame in the 2-Wasserstein metric
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Paper Abstract

It is known in the standard l2 distance that the closest Parseval frame to a given frame {Φi}mi=1d is {S-1/2(Φi)}mi=1 where S is the frame operator of the original frame. We show this is also the case for probabilistic frames in the 2-Wasserstein distance. In the process we develop some regularity properties for the map taking a probabilistic frame to its closest Parseval frame.

Paper Details

Date Published: 24 August 2017
PDF: 6 pages
Proc. SPIE 10394, Wavelets and Sparsity XVII, 103940N (24 August 2017); doi: 10.1117/12.2271002
Show Author Affiliations
Desai Cheng, Univ. of Missouri (United States)
Kasso A. Okoudjou, Univ. of Maryland, College Park (United States)

Published in SPIE Proceedings Vol. 10394:
Wavelets and Sparsity XVII
Yue M. Lu; Dimitri Van De Ville; Manos Papadakis, Editor(s)

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