English

The EM algorithm and the Laplace Approximation

Machine Learning 2014-01-27 v1

Abstract

The Laplace approximation calls for the computation of second derivatives at the likelihood maximum. When the maximum is found by the EM-algorithm, there is a convenient way to compute these derivatives. The likelihood gradient can be obtained from the EM-auxiliary, while the Hessian can be obtained from this gradient with the Pearlmutter trick.

Keywords

Cite

@article{arxiv.1401.6276,
  title  = {The EM algorithm and the Laplace Approximation},
  author = {Niko Brümmer},
  journal= {arXiv preprint arXiv:1401.6276},
  year   = {2014}
}
R2 v1 2026-06-22T02:53:57.903Z