Showing 2024 · math.PRShow all
2 papers · 2 filters
math.PR2024
On spectral outliers of inhomogeneous symmetric random matrices
Dylan J. Altschuler, Patrick Oliveira Santos, Konstantin Tikhomirov +1
Sharp conditions for the presence of spectral outliers are well understood for Wigner random matrices with iid entries. In the setting of inhomogeneous symmetric random matrices (i…
math.PR2024
A note on the capacity of the binary perceptron
Dylan J. Altschuler, Konstantin Tikhomirov
Determining the capacity of the Binary Perceptron is a long-standing problem. Krauth and Mezard (1989) conjectured an explicit value of , approximately equal to .833, an…