17 citations · 44 across the 11 of their papers we have counts for
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math.FA2024
A lower bound for the Balan--Jiang matrix problem
Afonso S. Bandeira, Dustin G. Mixon, Stefan Steinerberger
We prove the existence of a positive semidefinite matrix such that any decomposition into rank-1 matrices has to have factors with a large …
math.FA2022
On the concentration of Gaussian Cayley matrices
Afonso S. Bandeira, Dmitriy Kunisky, Dustin G. Mixon +1
Given a finite group, we study the Gaussian series of the matrices in the image of its left regular representation. We propose such random matrices as a benchmark for improvements…
math.FA2019
Sum-of-Squares Optimization and the Sparsity Structure of Equiangular Tight Frames
Afonso S. Bandeira, Dmitriy Kunisky
Equiangular tight frames (ETFs) may be used to construct examples of feasible points for semidefinite programs arising in sum-of-squares (SOS) optimization. We show how generalizin…