166 citations · 655 across the 82 of their papers we have counts for
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Optimal line packings from nonabelian groups
Joseph W. Iverson, John Jasper, Dustin G. Mixon
We use group schemes to construct optimal packings of lines through the origin. In this setting, optimal line packings are naturally characterized using representation theory, whic…
Polyphase equiangular tight frames and abelian generalized quadrangles
Matthew Fickus, John Jasper, Dustin G. Mixon +2
An equiangular tight frame (ETF) is a type of optimal packing of lines in a finite-dimensional Hilbert space. ETFs arise in various applications, such as waveform design for wirele…
Clustering subgaussian mixtures by semidefinite programming
Dustin G. Mixon, Soledad Villar, Rachel Ward
We introduce a model-free relax-and-round algorithm for k-means clustering based on a semidefinite relaxation due to Peng and Wei. The algorithm interprets the SDP output as a deno…
Equiangular tight frames from hyperovals
Matthew Fickus, Dustin G. Mixon, John Jasper
An equiangular tight frame (ETF) is a set of equal norm vectors in a Euclidean space whose coherence is as small as possible, equaling the Welch bound. Also known as Welch-bound-eq…
Tremain equiangular tight frames
Matthew Fickus, John Jasper, Dustin G. Mixon +1
Equiangular tight frames provide optimal packings of lines through the origin. We combine Steiner triple systems with Hadamard matrices to produce a new infinite family of equiangu…