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What is so amazing about Wigner's semicircle law?

The curse and the blessing of high dimensions

RM+ML: 29. Free Probability Theory and Linearization of Non-Linear Problems

RM+ML: 28. Properties of the Neural Tangent Kernel

RM+ML: 27. Time Evolution of Learning and Neural Tangent Kernel

RM+ML: 26. Gradient Descent for Linear Regression

RM+ML: 25. Gaussian Equivalence Principle for Non-Linear Random Features

RM+ML: 24. Calculation of the Random Feature Eigenvalue Distribution

RM+ML: 23. Cumulants and Their Properties and Uses

RM+ML: 21. Another Proof of Marchenko-Pastur -- Via Stein's Identity

RM+ML: 18. Double Descent and Linear Regression: Under-Determined Case

RM+ML: 17. Double Descent and Linear Regression: Over-Determined Case

RM+ML: 16. Proof of the Signal-Plus-Noise Theorem

RM+ML: 15. Spiked Signal-Plus-Noise Model

RM+ML: 14. Proof of Marchenko-Pastur: Stieltjes Inversion Formula

RM+ML: 13. Proof of Marchenko-Pastur: Equation for Stieltjes Transform

RM+ML: 12. Preparations for Proof of Marchenko-Pastur Law

RM+ML: 11. The Marchenko-Pastur Law for Wishart Matrices

RM+ML: 9. Wishart Random Matrices and Concentration of Largest Eigenvalue

RM+ML: 10. Proof of Concentration of Largest Eigenvalue

RM+ML: 8. General Remarks on Linear and Non-Linear Concentration Inequalities

RM+ML: 7. Proof of Non-Linear Concentration for Gaussian Random Vectors

RM+ML: 6. Non-Linear Concentration of Gaussian Random Vectors for Lipschitz Functions.

RM+ML: 5. Exponential Concentration of Norm of Gaussian Random Vectors