Optimal tables for asymmetric numeral systems
Information Theory
2025-05-09 v2 math.IT
Abstract
We present several algorithms to generate tables for asymmetric numeral systems and prove that they are optimal in terms of discrepancy. In turn, this gives rise to the strongest proven bound on entropy loss. We further give improved theoretical bounds for the entropy loss in tabled asymmetric numeral systems and a brief empirical evaluation of the stream variant.
Cite
@article{arxiv.2504.18541,
title = {Optimal tables for asymmetric numeral systems},
author = {Raphael S. Steiner and Mirko De Vita and Endri Bezati},
journal= {arXiv preprint arXiv:2504.18541},
year = {2025}
}
Comments
20 pages