Efficient quantization and weak covering of high dimensional cubes

Jack Noonan, Anatoly Zhigljavsky

Let ${\mathbb{Z}}_n=\{Z_1,\dots ,Z_n\}$ be a design; that is, a collection of $n$ points $Z_j\in [-1,1{]}^d$. We study the quality of quantization of $[-1,1{]}^d$ by the points of $…