English

Regression and Algorithmic Information Theory

Computational Complexity 2023-04-18 v1

Abstract

In this paper we prove a theorem about regression, in that the shortest description of a function consistent with a finite sample of data is less than the combined conditional Kolmogorov complexities over the data in the sample.

Cite

@article{arxiv.2304.07825,
  title  = {Regression and Algorithmic Information Theory},
  author = {Samuel Epstein},
  journal= {arXiv preprint arXiv:2304.07825},
  year   = {2023}
}
R2 v1 2026-06-28T10:07:32.057Z