20 papers
Kinematic Fingerprints of a Nucleon-Triggered in Rare Decays on Nucleon Targets
Yaroslav Balytskyi
The nucleon-triggered vector-boson scenario was motivated by a statistically significant discrepancy between the KLOE measurement, $\mathrm{BR}^{η\rightarrowπ^{0}γ…
Short spherical -design curves
Emily J. King, Dustin G. Mixon
We study the minimum arclength of spherical -design curves, i.e., closed rectifiable curves on whose normalized arclength measure exactly integrates every polynomial of de…
The Singer-Zauner gap for equiangular tight frames
Matthew Fickus, John Jasper, Dustin G. Mixon
We show that there does not exist a complex equiangular tight frame with \[ d^2-d+1<n<d^2. \] The proof, which originated from an internal model at OpenAI, mimics the r…
Approximation theorems in bilipschitz invariant theory
Jameson Cahill, Joseph W. Iverson, Dustin G. Mixon +1
Bilipschitz invariant theory concerns low-distortion embeddings of orbit spaces into Euclidean space. To date, embeddings with the smallest-possible distortion are known for only a…
Neural collapse in the orthoplex regime
James Alcala, Rayna Andreeva, Vladimir A. Kobzar +4
When training a neural network for classification, the feature vectors of the training set are known to collapse to the vertices of a regular simplex, provided the dimension of…
SUNLayer: Stable denoising with generative networks
Ruhui Jin, Dustin G. Mixon, Soledad Villar
Deep neural networks are often used to implement powerful generative models for real-world data. Notable applications include image denoising, as well as other classical inverse pr…