26 citations · 48 across the 5 of their papers we have counts for
12 papers
Hadamard Equiangular Tight Frames
Matthew Fickus, John Jasper, Dustin G. Mixon +1
An equiangular tight frame (ETF) is a type of optimal packing of lines in Euclidean space. They are often represented as the columns of a short, fat matrix. In certain applications…
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…
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…
Probably certifiably correct k-means clustering
Takayuki Iguchi, Dustin G. Mixon, Jesse Peterson +1
Recently, Bandeira [arXiv:1509.00824] introduced a new type of algorithm (the so-called probably certifiably correct algorithm) that combines fast solvers with the optimality certi…
Equiangular tight frames with centroidal symmetry
Matthew Fickus, John Jasper, Dustin G. Mixon +2
An equiangular tight frame (ETF) is a set of unit vectors whose coherence achieves the Welch bound, and so is as incoherent as possible. Though they arise in many applications, onl…
Learning Boolean functions with concentrated spectra
Dustin G. Mixon, Jesse Peterson
This paper discusses the theory and application of learning Boolean functions that are concentrated in the Fourier domain. We first estimate the VC dimension of this function class…