English

Rare Events via Cross-Entropy Population Monte Carlo

Computation 2022-02-09 v1

Abstract

We present a Cross-Entropy based population Monte Carlo algorithm. This methods stands apart from previous work in that we are not optimizing a mixture distribution. Instead, we leverage deterministic mixture weights and optimize the distributions individually through a reinterpretation of the typical derivation of the cross-entropy method. Demonstrations on numerical examples show that the algorithm can outperform existing resampling population Monte Carlo methods, especially for higher-dimensional problems.

Keywords

Cite

@article{arxiv.2110.05684,
  title  = {Rare Events via Cross-Entropy Population Monte Carlo},
  author = {Caleb Miller and Jem N. Corcoran and Michael D. Schneider},
  journal= {arXiv preprint arXiv:2110.05684},
  year   = {2022}
}