Ising Perceptron

The Ising perceptron is a random perceptron whose weight vector lies in ${-1,1}^N$ . For independent pattern vectors with independent standard normal coordinates, put . With uniform binary-spin probability , its thermodynamic pressure with log-weight is

Here is the floor function. For a constant , it equals . Counting measure adds to this convention.

See also

Random Perceptron, Spherical Perceptron, Spin Glass, Thermodynamic Pressure

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References

Talagrand, M. Mean Field Models for Spin Glasses, Vol. I: Basic Examples. Berlin: Springer, 2011. https://doi.org/10.1007/978-3-642-15202-3.

Cite this as:

Weisstein, Eric W. "Ising Perceptron." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/IsingPerceptron.html

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