基于Sperner理论的优超与Rényi熵不等式
组合数学
2020-02-07 v3 信息论
math.IT
概率论
摘要
阐明了优超概念与强Sperner偏序集之间的自然联系。随后利用该联系得到多种推论，包括关于独立整数值随机变量之和的新Rényi熵不等式。
引用
@article{arxiv.1712.00913,
title = {Majorization and R\'enyi Entropy Inequalities via Sperner Theory},
author = {Mokshay Madiman and Liyao Wang and Jae Oh Woo},
journal= {arXiv preprint arXiv:1712.00913},
year = {2020}
}
备注
Introduction was completely rewritten and there are numerous corrections. Expansion of background on Sperner theory, and several references are added