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,
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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.