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