For the Ising perceptron with independent Gaussian patterns, every bounded Borel real log-potential and each fixed positive temperature and pattern density have a limiting normalized free energy given by the manuscript’s explicit overlap-path variational formula, with convergence in expectation and probability.
For the Ising perceptron with independent Gaussian patterns, every bounded Borel real log-potential and each fixed positive temperature and pattern density have a limiting normalized free energy given by the manuscript’s explicit overlap-path variational formula, with convergence in expectation and probability.
For the Ising perceptron with independent Gaussian patterns, every bounded Borel real log-potential and each fixed positive temperature and pattern density have a limiting normalized free energy given by the manuscript’s explicit overlap-path variational formula, with convergence in expectation and probability.
If correct, removes the small-density restriction for the Gaussian Ising perceptron at positive temperature.
Is the Gaussian Ising perceptron free energy given by a variational formula at every fixed positive density?
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