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

PierGianLuca Porta-Mana

Published 2019 in arXiv.org

ABSTRACT

It is shown that the log-likelihood of a hypothesis or model given some data is equal 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 k-fold cross-validation log-scores.

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