Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 222-01. The free energy of the Ising random perceptron
Manuscript map · lines 6525–6534
OpenAI@2026-10-07#rem:oai-p-222-01
Authors: OpenAI. Family 222.
Title: The free energy of the Ising random perceptron.
Abstract: We determine the limiting free energy of the Ising perceptron with independent Gaussian patterns for every bounded Borel log-potential, at every fixed positive temperature and pattern density. We give an explicit variational formula for the limit and prove convergence in expectation and probability.
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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