Dear Colleagues,

We would like to invite you to the following SPASS seminar, jointly organized by UniPi, SNS, UniFi and UniSi: *Asymptotics for quantization of probability measures * by Filippo Quattrocchi (IST Austria)

The seminar will take place TUE, 17.12.2024 at 11:00 CET in Aula Riunioni, Dipartimento di Matematica, UNIPI and streamed online at the link below.

The organizers, A. Agazzi, G. Bet, A. Caraceni, F. Grotto, G. Zanco https://sites.google.com/unipi.it/spass

*---------------------------------------------------------* *Abstract: * Quantization is the problem of approximating a given probability measure using discrete measures, supported on a prescribed number n of points. One of the fundamental questions is: At what rate does the minimal quantization error (measured in Wasserstein distance) tend to 0 as n grows? A classical answer is given by Zador's theorem. I will discuss this result along with some new findings on a variation of the problem, in which the discrete approximating measures are additionally constrained to be uniform. This talk is based on the work arXiv:2408.12924.