English

A remark on conditional entropy

Information Theory 2024-04-04 v1 math.IT

Abstract

The following note proves that conditional entropy of a sequence is almost time-reversal invariant, specifically they only differ by a small constant factor dependent only upon the forward and backward models that the entropies are being calculated with respect to. This gives rise to a numerical value that quantifies learnability, as well as a methodology to control for distributional shift between datasets. Rough guidelines are given for practitioners.

Keywords

Cite

@article{arxiv.2404.02167,
  title  = {A remark on conditional entropy},
  author = {Adam Wang},
  journal= {arXiv preprint arXiv:2404.02167},
  year   = {2024}
}

Comments

Preprint, 5 pages

R2 v1 2026-06-28T15:42:07.005Z