English

Hamiltonian Annealed Importance Sampling for partition function estimation

Machine Learning 2012-05-10 v1 Data Analysis, Statistics and Probability

Abstract

We introduce an extension to annealed importance sampling that uses Hamiltonian dynamics to rapidly estimate normalization constants. We demonstrate this method by computing log likelihoods in directed and undirected probabilistic image models. We compare the performance of linear generative models with both Gaussian and Laplace priors, product of experts models with Laplace and Student's t experts, the mc-RBM, and a bilinear generative model. We provide code to compare additional models.

Keywords

Cite

@article{arxiv.1205.1925,
  title  = {Hamiltonian Annealed Importance Sampling for partition function estimation},
  author = {Jascha Sohl-Dickstein and Benjamin J. Culpepper},
  journal= {arXiv preprint arXiv:1205.1925},
  year   = {2012}
}
R2 v1 2026-06-21T21:00:41.884Z