
Neural collapse with unconstrained features
Neural collapse is an emergent phenomenon in deep learning that was rece...
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Uniquely optimal codes of low complexity are symmetric
We formulate explicit predictions concerning the symmetry of optimal cod...
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Lie PCA: Density estimation for symmetric manifolds
We introduce an extension to local principal component analysis for lear...
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Globally optimizing small codes in real projective spaces
For d∈{5,6}, we classify arrangements of d + 2 points in RP^d1 for whic...
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Linear programming bounds for cliques in Paley graphs
The Lovász theta number is a semidefinite programming bound on the cliqu...
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KestenMcKay 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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The optimal packing of eight points in the real projective plane
How can we arrange n lines through the origin in threedimensional Eucli...
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A DelsarteStyle Proof of the BukhCox Bound
The line packing problem is concerned with the optimal packing of points...
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Exact Line Packings from Numerical Solutions
Recent progress in Zauner's conjecture has leveraged deep conjectures in...
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Hans Parshall
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