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Preprint in the OpenAI Math release

The spherical perceptron with bi-orthogonally invariant disorder

OpenAI

Abstract

We determine the limiting free energy of a spherical perceptron with a bounded continuous activation and a bi-orthogonally invariant disorder matrix. The singular values may have any compact limiting distribution, provided there are no outliers. We give an explicit variational formula for this limit.

open until 1 Jan 2028

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