166 citations · 655 across the 82 of their papers we have counts for
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Connectivity and Irreducibility of Algebraic Varieties of Finite Unit Norm Tight Frames
Jameson Cahill, Dustin G. Mixon, Nate Strawn
In this paper, we settle a long-standing problem on the connectivity of spaces of finite unit norm tight frames (FUNTFs), essentially affirming a conjecture first appearing in [Dyk…
Near-optimal phase retrieval of sparse vectors
Afonso S. Bandeira, Dustin G. Mixon
In many areas of imaging science, it is difficult to measure the phase of linear measurements. As such, one often wishes to reconstruct a signal from intensity measurements, that i…
Phase retrieval from very few measurements
Matthew Fickus, Dustin G. Mixon, Aaron A. Nelson +1
In many applications, signals are measured according to a linear process, but the phases of these measurements are often unreliable or not available. To reconstruct the signal, one…
Kirkman Equiangular Tight Frames and Codes
John Jasper, Dustin G. Mixon, Matthew Fickus
An equiangular tight frame (ETF) is a set of unit vectors in a Euclidean space whose coherence is as small as possible, equaling the Welch bound. Also known as Welch-bound-equality…
Phase retrieval from power spectra of masked signals
Afonso S. Bandeira, Yutong Chen, Dustin G. Mixon
In diffraction imaging, one is tasked with reconstructing a signal from its power spectrum. To resolve the ambiguity in this inverse problem, one might invoke prior knowledge about…
Saving phase: Injectivity and stability for phase retrieval
Afonso S. Bandeira, Jameson Cahill, Dustin G. Mixon +1
Recent advances in convex optimization have led to new strides in the phase retrieval problem over finite-dimensional vector spaces. However, certain fundamental questions remain:…