166 citations · 655 across the 82 of their papers we have counts for
6 papers · 1 filter
Equi-isoclinic subspaces, covers of the complete graph, and complex conference matrices
Matthew Fickus, Joseph W. Iverson, John Jasper +1
In 1992, Godsil and Hensel published a ground-breaking study of distance-regular antipodal covers of the complete graph that, among other things, introduced an important connection…
Max filtering with reflection groups
Dustin G. Mixon, Daniel Packer
Given a finite-dimensional real inner product space V and a finite subgroup G of linear isometries, max filtering affords a bilipschitz Euclidean embedding of the orbit space V/G.…
Injectivity, stability, and positive definiteness of max filtering
Dustin G. Mixon, Yousef Qaddura
Given a real inner product space V and a group G of linear isometries, max filtering offers a rich class of G-invariant maps. In this paper, we identify nearly sharp conditions und…
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…
Sketch-and-solve approaches to k-means clustering by semidefinite programming
Charles Clum, Dustin G. Mixon, Soledad Villar +1
We introduce a sketch-and-solve approach to speed up the Peng-Wei semidefinite relaxation of k-means clustering. When the data is appropriately separated we identify the k-means op…
Group-invariant max filtering
Jameson Cahill, Joseph W. Iverson, Dustin G. Mixon +1
Given a real inner product space and a group of linear isometries, we construct a family of -invariant real-valued functions on that we call max filters. In the case…