Proves Poisson-Dirichlet edge statistics for full Gibbs ensembles on random lattices and quenched thermal concentration with visibility curve c=γ^{-2} for primitive directions.
Derrida, Random–energy model: An exactly solvable model of disordered systems, Physical Review B 24 (1981), no
2 Pith papers cite this work. Polarity classification is still indexing.
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Thesis uses statistical mechanics to study DAM and RBM models for understanding memorization, low-dimensional learning, and adversarial robustness in neural networks.
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Thermal Concentration and Poisson--Dirichlet Edge Statistics for Random--Lattice Gibbs Ensembles
Proves Poisson-Dirichlet edge statistics for full Gibbs ensembles on random lattices and quenched thermal concentration with visibility curve c=γ^{-2} for primitive directions.
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Explaining Machine Learning and Memorization with Statistical Mechanics
Thesis uses statistical mechanics to study DAM and RBM models for understanding memorization, low-dimensional learning, and adversarial robustness in neural networks.