Universal L^s -rate-optimality of L^r-optimal quantizers by dilatation and contraction

Abass Sagna

Let $r,s>0$. For a given probability measure $P$ on ${\mathbb{R}}^d$, let $({\alpha }_n{)}_{n\ge 1}$ be a sequence of (asymptotically) $L^r(P)$- optimal quantizers. For all $μ\in \mathbb{…