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Concentration of measure for nonlinear random matrices

Prelegent(ci)
Radosław Adamczak
Afiliacja
University of Warsaw
Język referatu
angielski
Termin
16 października 2025 12:15
Pokój
p. 3160
Tytuł w języku polskim
Concentration of measure for nonlinear random matrices
Seminarium
Seminarium Zakładu Rachunku Prawdopodobieństwa

I will present concentration inequalities for certain models of random matrices related to neural networks. I will discuss their optimality and dependence on the choice of activation functions and the distribution of weights. Next, I will apply them to eigenvalue statistics, in particular showing a deviation inequality for the first Wasserstein distance between the empirical and expected spectral measures of the conjugate kernel of the neural network.