166 citations · 655 across the 82 of their papers we have counts for
7 papers · 1 filter
Frames over finite fields: Equiangular lines in orthogonal geometry
Gary R. W. Greaves, Joseph W. Iverson, John Jasper +1
We investigate equiangular lines in finite orthogonal geometries, focusing specifically on equiangular tight frames (ETFs). In parallel with the known correspondence between real E…
Frames over finite fields: Basic theory and equiangular lines in unitary geometry
Gary R. W. Greaves, Joseph W. Iverson, John Jasper +1
We introduce the study of frames and equiangular lines in classical geometries over finite fields. After developing the basic theory, we give several examples and demonstrate finit…
Neural collapse with unconstrained features
Dustin G. Mixon, Hans Parshall, Jianzong Pi
Neural collapse is an emergent phenomenon in deep learning that was recently discovered by Papyan, Han and Donoho. We propose a simple "unconstrained features model" in which neura…
Lie PCA: Density estimation for symmetric manifolds
Jameson Cahill, Dustin G. Mixon, Hans Parshall
We introduce an extension to local principal component analysis for learning symmetric manifolds. In particular, we use a spectral method to approximate the Lie algebra correspondi…
Parameter estimation in the SIR model from early infections
Charles Clum, Dustin G. Mixon
A standard model for epidemics is the SIR model on a graph. We introduce a simple algorithm that uses the early infection times from a sample path of the SIR model to estimate the…
Sketching semidefinite programs for faster clustering
Dustin G. Mixon, Kaiying Xie
Many clustering problems enjoy solutions by semidefinite programming. Theoretical results in this vein frequently consider data with a planted clustering and a notion of signal str…