Speaker
Feng Dai
(University of Alberta, Edmonton, Canada)
Description
In this talk, I will present recent advancements in the Marcinkiewicz discretization problem using random sampling in finite-dimensional spaces. The goal is to establish two-sided estimates for the integral norm of functions in the space via a finite sum of function values evaluated at randomly selected points that are independent of the individual functions in the space. The main challenge is to determine the ''nearly'' optimal number of random points required for the Marcinkiewicz discretization inequalities to hold with high probability.
Primary author
Feng Dai
(University of Alberta, Edmonton, Canada)
