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相关论文: Comparing the R algorithm and RHMC for staggered f…

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We present first, exploratory results of a hybrid Monte-Carlo algorithm for dynamical, n_f=2, four-dimensional QCD with overlap fermions. As expected, the computational requirements are typically two orders of magnitude larger for the…

高能物理 - 格点 · 物理学 2010-02-03 Z. Fodor , S. D. Katz , K. K. Szabo

Close to the chiral limit, many calculations in numerical lattice QCD can potentially be accelerated using low-mode deflation techniques. In this paper it is shown that the recently introduced domain-decomposed deflation subspaces can be…

高能物理 - 格点 · 物理学 2008-11-26 Martin Lüscher

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 introduce a powerful and flexible MCMC algorithm for stochastic simulation. The method builds on a pseudo-marginal method originally introduced in [Genetics 164 (2003) 1139--1160], showing how algorithms which are approximations to an…

统计理论 · 数学 2009-04-01 Christophe Andrieu , Gareth O. Roberts

Hamiltonian Monte Carlo (HMC) has become routinely used for sampling from posterior distributions. Its extension Riemann manifold HMC (RMHMC) modifies the proposal kernel through distortion of local distances by a Riemannian metric. The…

统计计算 · 统计学 2017-02-21 Akihiko Nishimura , David Dunson

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

I give a status report on the validity of the so-called ``fourth-root trick'', i.e. the procedure of representing the determinant for a single fermion by the fourth root of the staggered fermion determinant. This has been used by the MILC…

高能物理 - 格点 · 物理学 2011-05-05 Stephen R. Sharpe

In this article, we discuss the optimal allocation problem in an experiment when a regression model is used for statistical analysis. Monotonic convergence for a general class of multiplicative algorithms for $D$-optimality has been…

统计计算 · 统计学 2013-10-28 Wei Gao , Ping Shing Chan , Hon Keung Tony Ng , Xiaolei Lu

It has recently been demonstrated in quenched lattice simulations that the distribution of the low-lying eigenvalues of the QCD Dirac operator is universal and described by random-matrix theory. We present first evidence that this…

高能物理 - 格点 · 物理学 2009-12-30 M. E. Berbenni-Bitsch , S. Meyer , T. Wettig

We present a new approach to path integral Monte Carlo (PIMC) simulations based on the worm algorithm, originally developed for lattice models and extended here to continuous-space many-body systems. The scheme allows for efficient…

统计力学 · 物理学 2009-11-11 M. Boninsegni , N. Prokof'ev , B. Svistunov

In this talk I propose a new computational scheme with overlap fermions and a fast algorithm to invert the corresponding Dirac operator.

高能物理 - 格点 · 物理学 2015-06-25 A. Borici

In QCD chiral symmetry is explicitly broken by quark masses, the effect of which can be described reliably by chiral perturbation theory. Effects of explicit chiral symmetry breaking by the lattice regularisation of the Dirac operator,…

高能物理 - 格点 · 物理学 2011-01-27 Nigel Cundy , Tony Kennedy , Andreas Schäfer

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

Using a dual representation of lattice fermion models that is based on spin-charge transformation and fermionisation of the original description, I derive an algorithm for diagrammatic Monte Carlo simulation of strongly correlated systems.…

强关联电子 · 物理学 2018-02-21 Johan Carlström

Hamiltonian Monte Carlo (HMC) algorithms which combine numerical approximation of Hamiltonian dynamics on finite intervals with stochastic refreshment and Metropolis correction are popular sampling schemes, but it is known that they may…

统计计算 · 统计学 2022-08-16 Peter A. Whalley , Daniel Paulin , Benedict Leimkuhler

As a prerequisite to dynamical fermion simulations a detailed study of optimal parameters and scaling behavior is conducted for the quenched Schr\"odinger functional at fixed renormalized coupling. We compare standard hybrid overrelaxation…

高能物理 - 格点 · 物理学 2015-06-25 Bernd Gehrmann , Ulli Wolff

We consider recent progress in algorithms for generating gauge field configurations that include the dynamical effects of light fermions. We survey what has been achieved in recent state-of-the-art computations, and examine the trade-offs…

高能物理 - 格点 · 物理学 2009-11-10 A. D. Kennedy

We establish epigraphical and uniform laws of large numbers for sample-based approximations of law invariant risk functionals. These sample-based approximation schemes include Monte Carlo (MC) and certain randomized quasi-Monte Carlo…

最优化与控制 · 数学 2025-07-01 Olena Melnikov , Johannes Milz

We present a universal quantum Monte Carlo algorithm for simulating arbitrary high-spin (spin greater than 1/2) Hamiltonians, based on the recently developed permutation matrix representation (PMR) framework. Our approach extends a…

计算物理 · 物理学 2026-01-27 Arman Babakhani , Lev Barash , Itay Hen

A sensible application of the Hybrid Monte Carlo (HMC) method is often hindered by the presence of large - or even infinite - potential barriers. These potential barriers separate the configuration space into distinct sectors and can lead…

强关联电子 · 物理学 2025-08-06 Finn L. Temmen , Evan Berkowitz , Anthony Kennedy , Thomas Luu , Johann Ostmeyer , Xinhao Yu