A simple method to optimize HMC performance
Andrea Bussone, Michele Della Morte, Vincent Drach, Martin Hansen, Ari, Hietanen, Jarno Rantaharju, Claudio Pica
TL;DR
This paper introduces a practical method for optimizing Hybrid Monte Carlo parameters in QCD simulations, focusing on mass-preconditioning and multiple time-step integrators, by analyzing the shadow Hamiltonian and force variances.
Contribution
It provides a novel approach to select optimal integrator settings based on force measurements, improving HMC efficiency in QCD-like theories.
Findings
Optimal integrator setup can be determined from force variances.
Method simplifies tuning of HMC parameters.
Enhances simulation performance for QCD studies.
Abstract
We present a practical strategy to optimize a set of Hybrid Monte Carlo parameters in simulations of QCD and QCD-like theories. We specialize to the case of mass-preconditioning, with multiple time-step Omelyan integrators. Starting from properties of the shadow Hamiltonian we show how the optimal setup for the integrator can be chosen once the forces and their variances are measured, assuming that those only depend on the mass-preconditioning parameter.
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