2 papers
math.ST2026
Non-asymptotic quantisation of spherically symmetric distributions
Luc Pronzato, Anatoly Zhigljavsky
Zador's celebrated theorem is a cornerstone of optimal quantisation, establishing both the weak limit of the empirical distribution of an -point optimal quantiser in and t…
math.ST2025
Maximum mean discrepancies of Farey sequences
Toni Karvonen, Anatoly Zhigljavsky
We identify a large class of positive-semidefinite kernels for which a certain polynomial rate of convergence of maximum mean discrepancies of Farey sequences is equivalent to the…