English

An information diffusion Fano inequality

Information Theory 2015-04-22 v1 math.IT

Abstract

In this note, we present an information diffusion inequality derived from an elementary argument, which gives rise to a very general Fano-type inequality. The latter unifies and generalizes the distance-based Fano inequality and the continuous Fano inequality established in [Corollary 1, Propositions 1 and 2, arXiv:1311.2669v2], as well as the generalized Fano inequality in [Equation following (10); T. S. Han and S. Verd\'u. Generalizing the Fano inequality. IEEE Transactions on Information Theory, 40(4):1247-1251, July 1994].

Keywords

Cite

@article{arxiv.1504.05492,
  title  = {An information diffusion Fano inequality},
  author = {Gábor Braun and Sebastian Pokutta},
  journal= {arXiv preprint arXiv:1504.05492},
  year   = {2015}
}

Comments

7 pages

R2 v1 2026-06-22T09:19:55.631Z