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math.PR2025
Global law of conjugate kernel random matrices with heavy-tailed weights
Alice Guionnet, Vanessa Piccolo
We study the asymptotic spectral distribution of the conjugate kernel random matrix , where arises from a two-layer neural network model. We consider the settin…
math.PR2023
Topological complexity of spiked random polynomials and finite-rank spherical integrals
Vanessa Piccolo
We study the annealed complexity of Gaussian random homogeneous polynomials on the -dimensional unit sphere in the presence of deterministic perturbations depending on fixed…