Sparse sums of squares on finite abelian groups and improved semidefinite lifts

Let G be a finite abelian group. This paper is concerned with nonnegative functions on G that are sparse with respect to the Fourier basis. We establish combinatorial conditions on subsets S and T of Fourier basis elements under which nonnegative functions with Fourier support S are sums of squares...

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Bibliographic Details
Main Authors: Fawzi, Hamza, Saunderson, James F, Parrilo, Pablo A
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2016
Online Access:http://hdl.handle.net/1721.1/104800
https://orcid.org/0000-0001-6026-4102
https://orcid.org/0000-0003-1132-8477