Hybrid Monte Carlo

TL;DR: In this article, the authors review results concerning the θ dependence of 4D S U (N ) gauge theories and QCD, where θ is the coefficient of the CP-violating topological term in the Lagrangian.

TL;DR: The difficulties of modelling and then handling ever more complex datasets most likely call for a new type of tool for computational inference that dramatically reduces the dimension and size of the raw data while capturing its essential aspects.

TL;DR: In this article, a photodynamical analysis of the Spitzer light curves was carried out to derive the density of the host star and the planet densities, and it was shown that all seven planets' densities may be described with a single rocky mass-radius relation which is depleted in iron relative to Earth, with Fe 21 wt % versus 32 wt% for Earth, and otherwise Earth-like in composition.

TL;DR: In this article, the authors provide a rigorous mathematical framework for analysing the SGLD algorithm and show that the algorithm is consistent, satisfies a central limit theorem (CLT), and its asymptotic bias-variance decomposition can be characterized by an explicit functional of the step-sizes sequence (δm)m≥0.

TL;DR: It is argued that the new proposal always represents a significant improvement over a Langevin simulation, and may even improve over the microcanonical method, in which case only a trivial code modification is required.

TL;DR: In this paper, it was shown that the success of acceleration for abelian gauge field dynamics need not depend on any choice of gauge and proposed a particular scheme for acceleration in non-abelian theories which is also gauge independent.

TL;DR: Two algorithms for the numerical simulation of SU(3) lattice gauge theory with dynamical quarks are discussed, based on the hybrid stochastic method of Duane and Kogut, which allow the simulation of arbitrary numbers of quarks.

TL;DR: Fourier techniques that greatly accelerate simulations on large lattices and a new technique for including quark vacuum-polarization corrections that admits any number of flavors, odd or even, without the need for nested Monte Carlo calculations are introduced.