Connections between structured tight frames and sum-of-squares optimization

Afonso S. Bandeira; Dmitriy Kunisky

doi:10.1117/12.2528192

9 September 2019 Connections between structured tight frames and sum-of-squares optimization

Afonso S. Bandeira, Dmitriy Kunisky

Proceedings Volume 11138, Wavelets and Sparsity XVIII; 111381F (2019) https://doi.org/10.1117/12.2528192
Event: SPIE Optical Engineering + Applications, 2019, San Diego, California, United States

Abstract

This note describes a new technique for generating tight frames that have a high degree of symmetry and entrywise Gramian structure. The technique is based on a "lifting" construction through which, from non-maximal real equiangular tight frames of N vectors in r-dimensional space, we produce real unit-norm tight frames of

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Afonso S. Bandeira and Dmitriy Kunisky "Connections between structured tight frames and sum-of-squares optimization", Proc. SPIE 11138, Wavelets and Sparsity XVIII, 111381F (9 September 2019); https://doi.org/10.1117/12.2528192

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