Bayesian probability updates using Sampling/Importance Resampling: Applications in nuclear theory

Abstract

We review an established Bayesian sampling method called sampling/importance resampling and highlight situations in nuclear theory when it can be particularly useful. To this end we both analyse a toy problem and demonstrate realistic applications of importance resampling to infer the posterior distribution for parameters of $\Delta$NNLO interaction model based on chiral effective field theory and to estimate the posterior probability distribution of target observables. The limitation of the method is also showcased in extreme situations where importance resampling breaks.

References in corpus (6)

• Chiral effective field theory and nuclear forces
• Accurate nuclear radii and binding energies from a chiral interaction
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• Global sensitivity analysis of bulk properties of an atomic nucleus
• Bayesian Methods for Parameter Estimation in Effective Field Theories
• Bayesian estimation of the low-energy constants up to fourth order in the nucleon-nucleon sector of chiral effective field theory

Cited by in corpus (7)

• Multiscale physics of atomic nuclei from first principles
• Emulating \emph{ab initio} computations of infinite nucleonic matter
• IMSRG with flowing 3 body operators, and approximations thereof
• Nuclear-matter saturation and symmetry energy within $\Delta$--full chiral effective field theory
• Trimmed Sampling Algorithm for the Noisy Generalized Eigenvalue Problem
• Bayesian method for fitting the low-energy constants in chiral perturbation theory
• Chiral interactions and superfluidity in the calcium isotopic chain