Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 222-03. The spherical perceptron with bi-orthogonally invariant disorder
Manuscript map · lines 6545–6554
OpenAI@2026-10-07#rem:oai-p-222-03
Authors: OpenAI. Family 222.
Title: The spherical perceptron with bi-orthogonally invariant disorder.
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.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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