Overview
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Explore the intricacies of the Ising perceptron model in this Marston Morse Lecture delivered by Nike Sun from the Massachusetts Institute of Technology. Delve into the statistical physics of the Ising perceptron, examining concepts such as replica symmetry and cavity symmetry. Investigate the spherical perceptron and general model, and learn about moment methods in random statistics. Analyze top equations, delta atop equations, and the conditional moment method. Gain insights into rare events, conditions, and key ingredients of the perceptron model. Enhance your understanding of this complex topic through a comprehensive exploration of its mathematical foundations and practical applications.
Syllabus
Introduction
Review of the Ising perceptron model
Calculations
The rare event
Condition
Ingredients
The Perceptron Model
Motivation
Ising perceptron
Statistical physics
Replica symmetric
Cavity symmetric
Spherical perceptron
general model
moment method
in random stats
the top equations
delta a
top equations
workaround
conditional moment method
Taught by
Institute for Advanced Study