Empirical Inference Article 2012

Bayesian estimation of free energies from equilibrium simulations

Free energy calculations are an important tool in statistical physics and biomolecular simulation. This Letter outlines a Bayesian method to estimate free energies from equilibrium Monte Carlo simulations. A Gibbs sampler is developed that allows efficient sampling of free energies and the density of states. The Gibbs sampling output can be used to estimate expected free energy differences and their uncertainties. The probabilistic formulation offers a unifying framework for existing methods such as the weighted histogram analysis method and the multistate Bennett acceptance ratio; both are shown to be approximate versions of the full probabilistic treatment.

Author(s): Habeck, M.
Journal: Physical Review Letters
Volume: 109
Number (issue): 10
Pages: 5
Year: 2012
Month: September
Day: 0
Bibtex Type: Article (article)
DOI: 10.1103/PhysRevLett.109.100601
Digital: 0
Electronic Archiving: grant_archive
Links:

BibTex

@article{Habeck2012_2,
  title = {Bayesian estimation of free energies from equilibrium simulations},
  journal = {Physical Review Letters},
  abstract = {Free energy calculations are an important tool in statistical physics and biomolecular simulation. This Letter outlines a Bayesian method to estimate free energies from equilibrium Monte Carlo simulations. A Gibbs sampler is developed that allows efficient sampling of free energies and the density of states. The Gibbs sampling output can be used to estimate expected free energy differences and their uncertainties. The probabilistic formulation offers a unifying framework for existing methods such as the weighted histogram analysis method and the multistate Bennett acceptance ratio; both are shown to be approximate versions of the full probabilistic treatment.},
  volume = {109},
  number = {10},
  pages = {5},
  month = sep,
  year = {2012},
  slug = {habeck2012_2},
  author = {Habeck, M.},
  month_numeric = {9}
}