Seminar tomorrow, Monday May 4, 2:10pm-3:00pm in Fields 210

[Benjamin Landon]

Hi all,

There is a seminar tomorrow, Monday May 4, 2:10pm-3:00pm, in Fields 210

Speaker: Yiyun He, University of California at San Diego

Title: Sparse Hanson-Wright inequalities with applications

Abstract: We derive new Hanson-Wright-type inequalities tailored to quadratic forms of random vectors with sparse independent components. Specifically, we consider cases where the components of the random vector are sparse α-subexponential random variables with α>0. When α=∞, these inequalities can be seen as quadratic generalizations of the classical Bernstein and Bennett inequalities for sparse bounded random vectors. We further apply the inequality for a local law and complete eigenvector delocalization for sparse α-subexponential Hermitian random matrices