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相关论文: The RHMC Algorithm for 2 Flavours of Dynamical Sta…

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We investigate L\"uscher's method of including dynamical Wilson fermions in a lattice simulation of QCD with two quark flavours. We measure the accuracy of the approximation by comparing it with Hybrid Monte Carlo results for gauge…

高能物理 - 格点 · 物理学 2009-10-28 C. Alexandrou , A. Borrelli , Ph. de Forcrand , A. Galli , F. Jegerlehner

Hamiltonian Monte Carlo (HMC) is a popular Markov chain Monte Carlo (MCMC) algorithm that generates proposals for a Metropolis-Hastings algorithm by simulating the dynamics of a Hamiltonian system. However, HMC is sensitive to large time…

机器学习 · 统计学 2016-09-15 Xiaoyu Lu , Valerio Perrone , Leonard Hasenclever , Yee Whye Teh , Sebastian J. Vollmer

Some algorithms for the numerically exact treatment of fermion determinants are summarised. This is not supposed to be a review, rather a concise handbook. The audience is expected to have a basic understanding of how to put fermions on a…

计算物理 · 物理学 2026-04-03 Johann Ostmeyer

We present a new action for highly improved staggered fermions. We show that perturbative calculations for the new action are well-behaved where those of the conventional staggered action are badly behaved. We discuss the effects of the new…

高能物理 - 格点 · 物理学 2009-11-07 Howard D. Trottier , G. Peter Lepage , Paul B. Mackenzie , Quentin Mason , Matthew A. Nobes

We present an exact pseudofermion action for hybrid Monte Carlo simulation (HMC) of one-flavor domain-wall fermion (DWF), with the effective 4-dimensional Dirac operator equal to the optimal rational approximation of the overlap-Dirac…

高能物理 - 格点 · 物理学 2014-09-30 Yu-Chih Chen , Ting-Wai Chiu

We apply the Hybrid Monte Carlo method to the simulation of overlap fermions. We give the fermionic force for the molecular dynamics update. We present early results on a small dynamical chiral ensemble.

高能物理 - 格点 · 物理学 2009-11-10 N. Cundy , S. Krieg , A. Frommer , Th. Lippert , K. Schilling

We introduce a variant of the Hybrid Monte Carlo (HMC) algorithm to address large-deviation statistics in stochastic hydrodynamics. Based on the path-integral approach to stochastic (partial) differential equations, our HMC algorithm…

计算物理 · 物理学 2019-10-29 G. Margazoglou , L. Biferale , R. Grauer , K. Jansen , D. Mesterházy , T. Rosenow , R. Tripiccione

We address the locality problem arising in simulations, which take the square root of the staggered fermion determinant as a Boltzmann weight to reduce the number of dynamical quark tastes from four to two. We study analytically and…

高能物理 - 格点 · 物理学 2009-11-10 B. Bunk , M. Della Morte , K. Jansen , F. Knechtli

We report performance benchmarks for several algorithms that we have used to simulate the Schr"odinger functional with two flavors of dynamical quarks. They include hybrid and polynomial hybrid Monte Carlo with preconditioning. An appendix…

高能物理 - 格点 · 物理学 2014-11-17 Roberto Frezzotti , Martin Hasenbusch , Jochen Heitger , Karl Jansen , Ulli Wolff

We study the performance of an automated hybrid Monte Carlo (HMC) approach for conditional simulation of a recently proposed, single-parameter Gibbs Markov random field (Gibbs MRF). The MRF is based on a modified version of the planar…

计算物理 · 物理学 2020-07-08 Milan Žukovič , Dionissios T. Hristopulos

We compute the heavy quark potential on configurations generated by the HEMCGC collaboration with dynamical staggered fermions at $6/g^2 = 5.6$ and with dynamical Wilson fermions at $6/g^2 = 5.3$. The computations are done on $16^3 \times…

高能物理 - 格点 · 物理学 2010-11-01 U. M. Heller , Khalil M. Bitar , R. G. Edwards , A. D. Kennedy

Three possibilities to speed up the Hybrid Monte Carlo algorithm are investigated. Changing the step-size adaptively brings no practical gain. On the other hand, substantial improvements result from using an approximate Hamiltonian or a…

高能物理 - 格点 · 物理学 2009-10-28 Philippe de Forcrand , Tetsuya Takaishi

We investigate the performance of the hybrid Monte Carlo algorithm, the standard algorithm used for lattice QCD simulations involving fermions, in updating non-trivial global topological structures. We find that the hybrid Monte Carlo…

高能物理 - 格点 · 物理学 2016-08-15 B. Allés , G. Boyd , M. D'Elia , A. Di Giacomo , E. Vicari

Recursive Marginal Quantization (RMQ) allows fast approximation of solutions to stochastic differential equations in one-dimension. When applied to two factor models, RMQ is inefficient due to the fact that the optimization problem is…

数理金融 · 定量金融 2017-04-24 Ralph Rudd , Thomas A. McWalter , Joerg Kienitz , Eckhard Platen

Variational inference lies at the core of many state-of-the-art algorithms. To improve the approximation of the posterior beyond parametric families, it was proposed to include MCMC steps into the variational lower bound. In this work we…

机器学习 · 统计学 2016-09-28 Christopher Wolf , Maximilian Karl , Patrick van der Smagt

We present an exact dynamical QCD simulation algorithm for the $O(a)$-improved Wilson fermion with odd number of flavors. Our algorithm is an extension of the non-Hermitian polynomials HMC algorithm proposed by Takaishi and de Forcrand…

Considering Ginsparg-Wilson type fermions dynamically in lattice QCD simulations is a challenging task. The hope is to be able to approach smaller pion masses and to eventually reach physical situations. The price to pay is substantially…

高能物理 - 格点 · 物理学 2009-11-11 C. B. Lang , Pushan Majumdar , Wolfgang Ortner

We investigate the performance of the hybrid Monte Carlo algorithm in updating non-trivial global topological structures. We find that the hybrid Monte Carlo algorithm has serious problems decorrelating the global topological charge. This…

高能物理 - 格点 · 物理学 2016-08-15 G. Boyd , B. Allés , M. D'Elia , A. Di Giacomo , E. Vicari

Hamiltonian Monte Carlo (HMC) is a powerful Markov chain Monte Carlo (MCMC) method for performing approximate inference in complex probabilistic models of continuous variables. In common with many MCMC methods, however, the standard HMC…

统计计算 · 统计学 2017-04-12 Matthew M. Graham , Amos J. Storkey

We propose a new framework to generate the Standard Model (SM) quark flavor hierarchies in the context of two Higgs doublet models (2HDM). The `flavorful' 2HDM couples the SM-like Higgs doublet exclusively to the third quark generation,…

高能物理 - 唯象学 · 物理学 2018-04-18 Wolfgang Altmannshofer , Stefania Gori , Dean J. Robinson , Douglas Tuckler