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The QCD-coupling is a necessary input in the computation of many observables, and the parametric error on input parameters can be a dominant source of uncertainty. The coupling can be extracted by comparing high order perturbative…

High Energy Physics - Lattice · Physics 2022-03-16 Leonardo Chimirri , Rainer Sommer

Fractional dissipation is a powerful tool to study non-local physical phenomena such as damping models. The design of geometric, in particular, variational integrators for the numerical simulation of such systems relies on a variational…

Numerical Analysis · Mathematics 2024-03-28 Khaled Hariz , Fernando Jiménez , Sina Ober-Blöbaum

The overlap fermion propagator is calculated on 2+1 flavor domain wall fermion gauge configurations on 16^3 x 32, 24^3 x 64 and 32^3 x 64 lattices. With HYP smearing and low eigenmode deflation, it is shown that the inversion of the overlap…

High Energy Physics - Lattice · Physics 2010-12-23 A. Li , A. Alexandru , Y. Chen , T. Doi , S. J. Dong , T. Draper , M. Gong , A. Hasenfratz , I. Horvath , F. X. Lee , K. F. Liu , N. Mathur , T. Streuer , J. B. Zhang

Disconnected diagrams are expected to be sensitive to the inclusion of dynamical fermions. We present a feasibility study for the observation of such effects on the nucleonic matrix elements of the axial vector current, using SESAM full QCD…

High Energy Physics - Lattice · Physics 2009-10-30 J. Viehoff , N. Eicker , S. Guesken , H. Hoeber , P. Lacock , Th. Lippert , G. Ritzenhoefer , K. Schilling , A. Spitz , P. Ueberholz

We propose improved estimators to compute the reweighting factors which are needed for lattice QCD calculations that rely on twisted-mass reweighting for the light quark contribution and the Rational Hybrid Monte Carlo (RHMC) algorithm for…

High Energy Physics - Lattice · Physics 2024-03-19 Simon Kuberski

We consider high-dimensional measurement errors with high-frequency data. Our objective is on recovering the high-dimensional cross-sectional covariance matrix of the random errors with optimality. In this problem, not all components of the…

Statistics Theory · Mathematics 2024-04-03 Jinyuan Chang , Qiao Hu , Cheng Liu , Cheng Yong Tang

Equilibrium measures are special invariant measures of chaotic dynamical systems and iterated function systems, commonly studied as salient examples of fractal measures. While useful analytic expressions are rare, computational exploration…

Dynamical Systems · Mathematics 2023-12-19 Caroline L. Wormell

Variational inequalities can in general support distinct solutions. In this paper we study an algorithm for computing distinct solutions of a variational inequality, without varying the initial guess supplied to the solver. The central idea…

Optimization and Control · Mathematics 2023-01-10 Patrick E. Farrell , Matteo Croci , Thomas M. Surowiec

We have developed a new three-dimensional algorithm, based on the standard P$^3$M method, for computing deflections due to weak gravitational lensing. We compare the results of this method with those of the two-dimensional planar approach,…

Astrophysics · Physics 2009-10-31 H. M. P. Couchman , Andrew J. Barber , Peter A. Thomas

In this paper, the authors report a way to use concepts from statistical learning to gain an advantage in terms of error exponents while communicating over a discrete memoryless channel. The study utilizes the simulation capability of the…

Information Theory · Computer Science 2022-08-09 Aman Chawla , Salvatore Domenic Morgera

We report our progress in simulating Neuberger valence fermions on N_f=2 Wilson O(a)-improved sea quarks. We compute correlators with valence quark masses both in the p- and in the epsilon-regime, and we match the results with the…

High Energy Physics - Lattice · Physics 2011-10-06 Fabio Bernardoni , Nicolas Garron , Pilar Hernandez , Silvia Necco , Carlos Pena

To take sample biases and skewness in the observations into account, practitioners frequently weight their observations according to some marginal distribution. The present paper demonstrates that such weighting can indeed improve the…

Methodology · Statistics 2018-11-05 Tobias Niebuhr , Mathias Trabs

For distributed estimations in a sensor network, the consistency and accuracy of an estimator are greatly affected by the unknown correlations between individual estimates. An inconsistent or too conservative estimate may degrade the…

Systems and Control · Electrical Eng. & Systems 2024-05-10 Yizhi Zhou , Xufan Liu , Xuan Wang

We study the problem of estimating at a central server the mean of a set of vectors distributed across several nodes (one vector per node). When the vectors are high-dimensional, the communication cost of sending entire vectors may be…

Machine Learning · Computer Science 2021-10-18 Divyansh Jhunjhunwala , Ankur Mallick , Advait Gadhikar , Swanand Kadhe , Gauri Joshi

This paper studies the problem of estimating the covariance of a collection of vectors using only highly compressed measurements of each vector. An estimator based on back-projections of these compressive samples is proposed and analyzed. A…

Machine Learning · Statistics 2019-01-16 Martin Azizyan , Akshay Krishnamurthy , Aarti Singh

This paper presents the analysis of the impact of a floating-point number precision reduction on the quality of text classification. The precision reduction of the vectors representing the data (e.g. TF-IDF representation in our case)…

Computation and Language · Computer Science 2017-06-21 Krzysztof Wróbel , Maciej Wielgosz , Marcin Pietroń , Michał Karwatowski , Aleksander Smywiński-Pohl

Even though the computation of local properties, such as densities or radial distribution functions, remains one of the most standard goals of molecular simulation, it still largely relies on straighforward histogram-based strategies. Here…

Computational Physics · Physics 2020-10-28 Benjamin Rotenberg

Non-convex optimization problems have multiple local optimal solutions. Non-convex optimization problems are commonly found in numerous applications. One of the methods recently proposed to efficiently explore multiple local optimal…

Optimization and Control · Mathematics 2022-01-31 Mohamed Tarek , Yijiang Huang

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

Over the last few years, debiased estimators have been proposed in order to establish rigorous confidence intervals for high-dimensional problems in machine learning and data science. The core argument is that the error of these estimators…

Signal Processing · Electrical Eng. & Systems 2024-07-19 Frederik Hoppe , Claudio Mayrink Verdun , Felix Krahmer , Marion I. Menzel , Holger Rauhut