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11/23/2020
Neural collapse with unconstrained features
Neural collapse is an emergent phenomenon in deep learning that was rece...
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08/28/2020
Uniquely optimal codes of low complexity are symmetric
We formulate explicit predictions concerning the symmetry of optimal cod...
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08/10/2020
Lie PCA: Density estimation for symmetric manifolds
We introduce an extension to local principal component analysis for lear...
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12/06/2019
Globally optimizing small codes in real projective spaces
For d∈{5,6}, we classify arrangements of d + 2 points in RP^d-1 for whic...
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07/12/2019
Linear programming bounds for cliques in Paley graphs
The Lovász theta number is a semidefinite programming bound on the cliqu...
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05/10/2019
Kesten-McKay law for random subensembles of Paley equiangular tight frames
We apply the method of moments to prove a recent conjecture of Haikin, Z...
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02/26/2019
The optimal packing of eight points in the real projective plane
How can we arrange n lines through the origin in three-dimensional Eucli...
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02/03/2019
A Delsarte-Style Proof of the Bukh-Cox Bound
The line packing problem is concerned with the optimal packing of points...
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01/29/2019