To sample from complex, high-dimensional distributions, one may choose algorithms based on the Hybrid Monte Carlo (HMC) method. HMC-based generate nonlocal moves alleviating diffusive behavior. Here, I build an already defined HMC framework, hybrid Hilbert spaces (Beskos, et al. Stoch. Proc. Applic. 2011), that provides finite-dimensional approximations of measures π, which have density with re...

Abstract We discuss the statistical analysis method for worldvolume hybrid Monte Carlo (WV-HMC) algorithm [M. Fukuma and N. Matsumoto, Prog. Theor. Exp. Phys. 2021, 023B08 (2021)], which was recently introduced to substantially reduce computational cost of tempered Lefschetz thimble method. In WV-HMC algorithm, configuration space is a continuous accumulation (worldvolume) deformed integration ...