@article {61,
title = {The high resolution vector quantization problem with Orlicz norm distortion},
year = {2010},
abstract = {Summary. We derive a high-resolution formula for the quantization problem under Orlicz norm distortion. In this setting, the optimal point density solves a variational problem which comprises a function $g : \mathbb{R_+} \to [0,\infty)$ characterizing the quantization complexity of the underlying Orlicz space. Moreover, asymptotically optimal codebooks induce a tight sequence of empirical measures. The set of possible accumulation points is characterized and in most cases it consists of a single element. In that case, we find convergence as in the classical setting.},
keywords = {complexity, discrete approximation, High-resolution quantization, self similarity},
author = {Steffen Dereich and Christian Vormoor}
}