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Using stochastic estimators for connected meson and baryon three-point functions has successfully been tried in the past years. Compared to the standard sequential source method we trade the freedom to compute the current-to-sink propagator…

A novel stochastic technique combining a dilute source grid of $\mathbb{Z}_3$ noise with iterative momentum-smearing is used to study the proton correlation function at rest and in boosted frames on two lattice volumes. The technique makes…

High Energy Physics - Lattice · Physics 2018-12-05 J. -J. Wu , W. Kamleh , D. ~B. Leinweber , R. D. Young , J. M. Zanotti

In this paper we investigate the benefits of using Z(2)xZ(2) single timeslice stochastic sources for the calculation of light quark physics on the lattice. Meson 2-point correlators measured using sources stochastic in only spin and those…

High Energy Physics - Lattice · Physics 2009-04-16 P. A. Boyle , A. Juttner , C. Kelly , R. D. Kenway

We investigate the efficiency of single timeslice stochastic sources for the calculation of light meson masses on the lattice as one varies the quark mass. Simulations are carried out with Nf = 2 flavours of non-perturbatively O(a) improved…

High Energy Physics - Lattice · Physics 2011-11-28 E. Endress , A. Jüttner , H. Wittig

The LATIN method has been developed and successfully applied to a variety of deterministic problems, but few work has been developed for nonlinear stochastic problems. This paper presents a stochastic LATIN method to solve stochastic and/or…

Numerical Analysis · Mathematics 2023-09-06 Zhibao Zheng , David Néron , Udo Nackenhorst

Stochastic computing is a paradigm in which logical operations are performed on randomly generated bit streams. Complex arithmetic operations can be executed by simple logic circuits, resulting in a much smaller area footprint compared to…

Emerging Technologies · Computer Science 2023-07-10 Yadu Kiran , Marc Riedel

We present a stochastic algorithm to compute the barycenter of a set of probability distributions under the Wasserstein metric from optimal transport. Unlike previous approaches, our method extends to continuous input distributions and…

Machine Learning · Computer Science 2018-06-08 Sebastian Claici , Edward Chien , Justin Solomon

In a finite volume, resonances and multi-hadron states are identified by discrete energy levels. When comparing the results of lattice QCD calculations to scattering experiments, it is important to have a way of associating the energy…

High Energy Physics - Lattice · Physics 2015-03-20 J. M. M. Hall , A. C. -P. Hsu , D. B. Leinweber , A. W. Thomas , R. D. Young

A new method to compute the incoherent scattering function of harmonic lattices is introduced. It is based in a saddle point approximation for each term of the phonon expansion, and is simple enough to be used in practice. The method gives…

Other Condensed Matter · Physics 2018-07-20 Victor Laliena , Javier Campo

We consider the population Wasserstein barycenter problem for random probability measures supported on a finite set of points and generated by an online stream of data. This leads to a complicated stochastic optimization problem where the…

Optimization and Control · Mathematics 2021-12-06 Daniil Tiapkin , Alexander Gasnikov , Pavel Dvurechensky

We introduce a stochastic sandwich method with low-mode substitution to evaluate the connected three-point functions. The isovector matrix elements of the nucleon for the axial-vector coupling $g_A^3$, scalar couplings $g_S^3$ and the quark…

High Energy Physics - Lattice · Physics 2016-02-17 Yi-Bo Yang , Andrei Alexandru , Terrence Draper , Ming Gong , Keh-Fei Liu

In this paper we present a strategy for optimization functions with stochastic input. The main idea is to take advantage of decomposition in combination with a look-up table. Deciding what input values should be used for memoization is…

Other Computer Science · Computer Science 2012-11-26 Edin H. Mulalić , Miomir S. Stanković , Radomir S. Stanković

This article is devoted to study stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter $H\in(1/2,1)$. First of all, we investigate the existence and uniqueness of pathwise mild solutions to such…

Analysis of PDEs · Mathematics 2016-09-09 Hakima Bessaih , María J. Garrido-Atienza , Xiaoying Han , Björn Schmalfuß

Quark model matrix elements can be computed using bosonic operators and the holomorphic representation for the harmonic oscillator. The technique is illustrated for normal and exotic baryons for an arbitrary number of colors. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Aneesh V. Manohar

We explain how masses and matrix elements can be computed in lattice QCD using Schr"odinger functional boundary conditions. Numerical results in the quenched approximation demonstrate that good precision can be achieved. For a statistical…

High Energy Physics - Lattice · Physics 2015-06-25 Marco Guagnelli , Jochen Heitger , Rainer Sommer , Hartmut Wittig

This paper discusses a methodology for determining a functional representation of a random process from a collection of scattered pointwise samples. The present work specifically focuses onto random quantities lying in a high dimensional…

Numerical Analysis · Mathematics 2014-01-03 Lionel Mathelin

The master-field approach to lattice QCD envisions performing calculations on a small number of large-volume gauge-field configurations. Substantial progress has been made recently in the generation of such fields, and this must be joined…

High Energy Physics - Lattice · Physics 2022-11-22 Marco Cè , Mattia Bruno , John Bulava , Anthony Francis , Patrick Fritzsch , Jeremy R. Green , Maxwell T. Hansen , Antonio Rago

This paper proposes and analyzes a new operator splitting method for stochastic Maxwell equations driven by additive noise, which not only decomposes the original multi-dimensional system into some local one-dimensional subsystems, but also…

Numerical Analysis · Mathematics 2021-02-23 Chuchu Chen , Jialin Hong , Lihai Ji

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

Precision computation of hadronic physics with lattice QCD is becoming feasible. The last decade has seen percent-level calculations of many simple properties of mesons, and the last few years have seen calculations of baryon masses,…

High Energy Physics - Lattice · Physics 2012-07-12 Dru B. Renner
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