Unbiased estimators in quantum Monte Carlo methods: Application to liquid 4He.

Positive-Shrinkage and Pretest Estimation in Multiple Regression: A Monte Carlo Study with Applications

Consider a problem of predicting a response variable using a set of covariates in a linear regression model. If it is a priori known or suspected that a subset of the covariates do not significantly contribute to the overall fit of the model, a restricted model that excludes these covariates, may be sufficient. If, on the other hand, the subset provides useful information, shrinkage meth...

Quantum Monte Carlo study of large spin-polarized tritium clusters.

This work expands recent investigations in the field of spin-polarized tritium (T downward arrow) clusters. We report the results for the ground-state energy and structural properties of large T downward arrow clusters consisting of up to 320 atoms. All calculations have been performed with variational and diffusion Monte Carlo methods, using an accurate ab initio interatomic potential. Our res...

4He adsorption on a single graphene sheet: Path-integral Monte Carlo study

We have performed path-integral Monte Carlo calculations to study 4He adsorption on a single graphene sheet. The 4He-substrate interaction was assumed to be a pairwise sum of the helium-carbon potentials constructed by Carlos and Cole to fit helium scattering data from a graphite surface. We employed both an anisotropic 6-12 Lennard-Jones potential and a spherical 6-12 potential. For both poten...

Exact Monte Carlo Simulation of Killed Diffusions

We describe and implement a novel methodology for Monte Carlo simulation of one-dimensional killed diffusions. The proposed estimators represent an unbiased and efficient alternative to current Monte Carlo estimators based on discretization methods for the cases when the finitedimensional distributions of the process are unknown. For barrier option pricing in finance, we design a suitable Monte...

Lang-Firsov approaches to polaron physics: From variational methods to unbiased quantum Monte Carlo simulations