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Many Lattice QCD observables of phenomenological interest include so-called all-to-all propagators. The computation of these requires prohibitively large computational resources, unless they are estimated stochastically. This is usually…

High Energy Physics - Lattice · Physics 2011-03-28 Gunnar S. Bali , Sara Collins , Andreas Schaefer

Stochastic noise estimator method is a powerful tool to calculate the disconnected insertion involving quark loops. We study the variance reduction technique with unbiased subtraction. We use the complex $Z_2$ noise to calculate the quark…

High Energy Physics - Lattice · Physics 2009-11-07 Nilmani Mathur , Shao-Jing Dong

The polynomial subtraction method, a new numerical approach for reducing the noise variance of Lattice QCD disconnected matrix elements calculation, is introduced in this paper. We use the MinRes polynomial expansion of the QCD matrix as…

High Energy Physics - Lattice · Physics 2014-05-09 Quan Liu , Walter Wilcox , Ron Morgan

Noise subtraction methods are a set of techniques that aim to reduce the variance of signals in LQCD which are often flooded with noise. The standard approach is a pertubative subtraction. In this work, we demonstrate the abilities of our…

High Energy Physics - Lattice · Physics 2019-12-09 Travis Whyte , Suman Baral , Paul Lashomb , Walter Wilcox , Ronald B. Morgan

A new method for computing all elements of the lattice quark propagator is proposed. The method combines the spectral decomposition of the propagator, computing the lowest eigenmodes exactly, with noisy estimators which are 'diluted', i.e.…

High Energy Physics - Lattice · Physics 2008-11-26 Justin Foley , K. Jimmy Juge , Alan O'Cais , Mike Peardon , Sinead M. Ryan , Jon-Ivar Skullerud

A comparison of the noise variance between algorithms for calculating disconnected loop signals in lattice QCD is carried out. The methods considered are the Z(N) noise method and the Volume method. We find that the noise variance is…

High Energy Physics - Lattice · Physics 2009-10-30 Walter Wilcox , Bruce Lindsay

Lattice QCD calculations of disconnected quark loop operators are extremely computer time-consuming to evaluate. To compute these diagrams using lattice techniques, one generally uses stochastic noise methods. These employ a randomly…

High Energy Physics - Lattice · Physics 2019-06-26 Suman Baral , Travis Whyte , Walter Wilcox , Ronald B. Morgan

We describe a new approach for evaluating hadronic correlation functions which combines Laplacian-Heaviside quark smearing with a stochastic estimator of quark propagators. This method utilizes noise dilution in a new way to reduce the…

High Energy Physics - Lattice · Physics 2010-11-04 Justin Foley , Chik Him Wong , John Bulava , Keisuke Jimmy Juge , David Lenkner , Colin Morningstar , Michael Peardon

We investigate an alternative to the Sequential Propagator Method used in Lattice QCD calculations of semileptonic form factors. We replace the sequential propagator with a stochastic propagator so that, in principle, all momentum and sink…

High Energy Physics - Lattice · Physics 2010-11-05 Richard Evans , Gunnar Bali , Sara Collins

In this paper, we perform the first application of the hybrid method (exact low modes plus stochastically estimated high modes) for all-to-all propagators to the HAL QCD method. We calculate the HAL QCD potentials in the $I=2$ $\pi\pi$…

High Energy Physics - Lattice · Physics 2019-08-27 Yutaro Akahoshi , Sinya Aoki , Tatsumi Aoyama , Takumi Doi , Takaya Miyamoto , Kenji Sasaki

The effectiveness of various dilution schemes in the evaluation of baryonic two-point functions is compared. The error of a representative set of observables as a function of the number of Dirac matrix inversions is used as a basis for…

High Energy Physics - Lattice · Physics 2010-01-21 John Bulava , Robert Edwards , Colin Morningstar

We discuss all-to-all quark propagator techniques in two (related) contexts within Lattice QCD: the computation of closed quark propagators, and applications to the so-called "eye diagrams" appearing in the computation of non-leptonic kaon…

High Energy Physics - Lattice · Physics 2016-07-08 Eric Endress , Carlos Pena , Karthee Sivalingam

We investigate the computational efficiency of two stochastic based alternatives to the Sequential Propagator Method used in Lattice QCD calculations of heavy-light semileptonic form factors. In the first method, we replace the sequential…

High Energy Physics - Lattice · Physics 2010-11-11 Richard Evans , Gunnar Bali , Sara Collins

In this paper we present a method for single-channel wind noise reduction using our previously proposed diffusion-based stochastic regeneration model combining predictive and generative modelling. We introduce a non-additive speech in noise…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-10 Jean-Marie Lemercier , Joachim Thiemann , Raphael Koning , Timo Gerkmann

To address noise inherent in electronic data acquisition systems and real world sources, Araki et al. [Physica D: Nonlinear Phenomena, 417 (2021) 132819] demonstrated a grid based nonlinear technique to remove noise from a chaotic signal,…

A new method of stochastically estimating the low-lying effects of quark propagation is proposed which allows accurate determinations of temporal correlations of single-hadron and multi-hadron operators in lattice QCD. The method is well…

High Energy Physics - Lattice · Physics 2015-03-19 Colin Morningstar , John Bulava , Justin Foley , Keisuke J. Juge , David Lenkner , Mike Peardon , Chik Him Wong

We present the analysis of two recently proposed noise reduction techniques, Hutch++ and XTrace, both based on inexact deflation. These methods were proven to have a better asymptotic convergence to the solution than the classical…

High Energy Physics - Lattice · Physics 2023-12-15 Alessandro Cotellucci , Agostino Patella

We propose a new noise subtraction method, which we call "eigenspectrum subtraction", which uses low eigenmode information to suppress statistical noise at low quark mass. This is useful for lattice calculations involving disconnected loops…

High Energy Physics - Lattice · Physics 2010-01-26 Victor Guerrero , Ronald B. Morgan , Walter Wilcox

A new method of inferencing of coupled stochastic nonlinear oscillators is described. The technique does not require extensive global optimization, provides optimal compensation for noise-induced errors and is robust in a broad range of…

Data Analysis, Statistics and Probability · Physics 2009-11-10 Vadim N. Smelyanskiy , Dmitry G. Luchinsky

Progress in computing the hadron spectrum in lattice QCD using stochastic LapH quark propaga- tors is described. The stochastic LapH algorithm is a particular quark smearing algorithm that also allows the computation of all-to-all quark…

High Energy Physics - Lattice · Physics 2013-01-24 John Bulava , Justin Foley , Keisuke J. Juge , Colin J. Morningstar , Brendan Fahy , You-Cyuan Jhang , David Lenkner , Chik Him Wong
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