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A relation between log-likelihood and cross-validation log-scores

Methodology 2019-08-26 v1 Information Theory math.IT

Abstract

It is shown that the log-likelihood of a hypothesis or model given some data is equivalent to an average of all leave-one-out cross-validation log-scores that can be calculated from all subsets of the data. This relation can be generalized to any kk-fold cross-validation log-scores.

Cite

@article{arxiv.1908.08741,
  title  = {A relation between log-likelihood and cross-validation log-scores},
  author = {PierGianLuca Porta Mana},
  journal= {arXiv preprint arXiv:1908.08741},
  year   = {2019}
}

Comments

8 pages

R2 v1 2026-06-23T10:55:01.411Z