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Lattice Boltzmann methods (LBM) are an important part of current computational fluid dynamics (CFD). They allow easy implementations and boundary handling. However, competitive time to solution not only depends on the choice of a reasonable…

Performance · Computer Science 2018-04-18 Markus Wittmann , Viktor Haag , Thomas Zeiser , Harald Köstler , Gerhard Wellein

The Lattice Hadron Physics Collaboration (LHPC) baryon spectroscopy effort is reviewed. To date the LHPC has performed exploratory Lattice QCD calculations of the low-lying spectrum of Nucleon and Delta baryons. These calculations…

Progress in computing the spectrum of excited baryons and mesons in lattice QCD is described. Large sets of spatially-extended hadron operators are used. The need for multi-hadron operators in addition to single-hadron operators is…

High Energy Physics - Lattice · Physics 2011-11-04 John Bulava , Justin Foley , You-Cyuan Jhang , Keisuke J. Juge , David Lenkner , Colin Morningstar , Chik Him Wong

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…

Kernel methods provide a principled way to perform non linear, nonparametric learning. They rely on solid functional analytic foundations and enjoy optimal statistical properties. However, at least in their basic form, they have limited…

Machine Learning · Statistics 2018-02-01 Alessandro Rudi , Luigi Carratino , Lorenzo Rosasco

Progress in computing the spectrum of excited baryons and mesons in lattice QCD is described. Large sets of spatially-extended hadron operators are used. A new method of stochastically estimating the low-lying effects of quark propagation…

High Energy Physics - Lattice · Physics 2015-05-27 C. Morningstar , A. Bell , J. Bulava , J. Foley , K. J. Juge , D. Lenkner , C. H. Wong

Kernel methods provide an elegant and principled approach to nonparametric learning, but so far could hardly be used in large scale problems, since na\"ive implementations scale poorly with data size. Recent advances have shown the benefits…

Machine Learning · Computer Science 2020-11-30 Giacomo Meanti , Luigi Carratino , Lorenzo Rosasco , Alessandro Rudi

We investigate the performance characteristics of a numerically enhanced scalar product (dot) kernel loop that uses the Kahan algorithm to compensate for numerical errors, and describe efficient SIMD-vectorized implementations on recent…

Performance · Computer Science 2018-07-09 Johannes Hofmann , Dietmar Fey , Michael Riedmann , Jan Eitzinger , Georg Hager , Gerhard Wellein

Highlights from recent computations in lattice QCD involving baryons are presented. Calculations of the proton mass and spin decompositions are discussed, a percent level determination of the nucleon axial coupling is described, and…

Nuclear Theory · Physics 2019-09-19 Colin Morningstar

We investigate the performance characteristics of a numerically enhanced scalar product (dot) kernel loop that uses the Kahan algorithm to compensate for numerical errors, and describe efficient SIMD-vectorized implementations on recent…

Performance · Computer Science 2019-02-19 Johannes Hofmann , Dietmar Fey , Jan Eitzinger , Georg Hager , Gerhard Wellein

We introduce a novel kernel-based framework for learning differential equations and their solution maps that is efficient in data requirements, in terms of solution examples and amount of measurements from each example, and computational…

Machine Learning · Statistics 2025-04-07 Yasamin Jalalian , Juan Felipe Osorio Ramirez , Alexander Hsu , Bamdad Hosseini , Houman Owhadi

We describe a strategy for code modernisation of Gadget, a widely used community code for computational astrophysics. The focus of this work is on node-level performance optimisation, targeting current multi/many-core IntelR architectures.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-27 Fabio Baruffa , Luigi Iapichino , Nicolay J. Hammer , Vasileios Karakasis

In order to fully utilize "big data", it is often required to use "big models". Such models tend to grow with the complexity and size of the training data, and do not make strong parametric assumptions upfront on the nature of the…

Machine Learning · Statistics 2015-04-17 Vikas Sindhwani , Haim Avron

The balance metric is a simple approach to estimate the performance of bandwidth-limited loop kernels. However, applying the method to in-cache situations and modern multi-core architectures yields unsatisfactory results. This paper…

Performance · Computer Science 2009-10-27 Jan Treibig , Georg Hager , Gerhard Wellein

Automatic code generation is frequently used to create implementations of algorithms specifically tuned to particular hardware and application parameters. The code generation process involves the selection of adequate code transformations,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-08 Dominik Ernst , Markus Holzer , Georg Hager , Matthias Knorr , Gerhard Wellein

Countless applications cast their computational core in terms of dense linear algebra operations. These operations can usually be implemented by combining the routines offered by standard linear algebra libraries such as BLAS and LAPACK,…

Performance · Computer Science 2014-10-01 Elmar Peise , Paolo Bientinesi

We present a stochastic method for the calculation of baryon three-point functions that is more versatile compared to the typically used sequential method. We analyze the scaling of the error of the stochastically evaluated three-point…

High Energy Physics - Lattice · Physics 2015-06-15 Constantia Alexandrou , Simon Dinter , Vincent Drach , Kyriakos Hadjiyiannakou , Karl Jansen , Dru B. Renner

We present a performance model for bandwidth limited loop kernels which is founded on the analysis of modern cache based microarchitectures. This model allows an accurate performance prediction and evaluation for existing instruction codes.…

Performance · Computer Science 2009-05-07 Jan Treibig , Georg Hager

Memory-bound algorithms show complex performance and energy consumption behavior on multicore processors. We choose the lattice-Boltzmann method (LBM) on an Intel Sandy Bridge cluster as a prototype scenario to investigate if and how…

Performance · Computer Science 2015-05-25 Markus Wittmann , Georg Hager , Thomas Zeiser , Jan Treibig , Gerhard Wellein

One of the greatest efforts of computational scientists is to translate the mathematical model describing a class of physical phenomena into large and complex codes. Many of these codes face the difficulty of implementing the mathematical…

Computational Engineering, Finance, and Science · Computer Science 2018-01-17 Edoardo Di Napoli , Elmar Peise , Markus Hrywniak , Paolo Bientinesi
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