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Due to the variety and importance of applications of treecodes and FMM, the combination of algorithmic acceleration with hardware acceleration can have tremendous impact. Alas, programming these algorithms efficiently is no piece of cake.…

Computational Physics · Physics 2012-08-14 Rio Yokota , Lorena Barba

New numerical algorithms based on rational functions are introduced that can solve certain Laplace and Helmholtz problems on two-dimensional domains with corners faster and more accurately than the standard methods of finite elements and…

Numerical Analysis · Mathematics 2022-10-12 Abinand Gopal , Lloyd N. Trefethen

This article introduces a highly parallel algorithm for molecular dynamics simulations with short-range forces on single node multi- and many-core systems. The algorithm is designed to achieve high parallel speedups for strongly…

Computational Physics · Physics 2013-11-20 R. Meyer

Multi-task learning (MTL) improves generalization and data efficiency by jointly learning related tasks through shared representations. In the widely used hard-parameter-sharing setting, a shared backbone is combined with task-specific…

Machine Learning · Computer Science 2026-04-16 Hevish Cowlessur , Chandra Thapa , Tansu Alpcan , Seyit Camtepe

The Simplex tableau has been broadly used and investigated in the industry and academia. With the advent of the big data era, ever larger problems are posed to be solved in ever larger machines whose architecture type did not exist in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-29 Demetrios Coutinho , Felipe O. Lins e Silva , Daniel Aloise , Samuel , Xavier-de-Souza

Molecular dynamics (MD) simulation, which is considered an important tool for studying physical and chemical processes at the atomic scale, requires accurate calculations of energies and forces. Although reliable energies and forces can be…

Materials Science · Physics 2021-12-06 Van-Quyen Nguyen , Viet-Cuong Nguyen , Tien-Cuong Nguyen , Tien-Lam Pham

Numerical models of complex real-world phenomena often necessitate High Performance Computing (HPC). Uncertainties increase problem dimensionality further and pose even greater challenges. We present a parallelization strategy for…

Mathematical Software · Computer Science 2021-08-02 Linus Seelinger , Anne Reinarz , Leonhard Rannabauer , Michael Bader , Peter Bastian , Robert Scheichl

Empirical studies are fundamental in assessing the effectiveness of implementations of branch-and-bound algorithms. The complexity of such implementations makes empirical study difficult for a wide variety of reasons. Various attempts have…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-21 Stephen J. Maher , Ted K. Ralphs , Yuji Shinano

The Fast Multipole Method (FMM) for the Poisson equation is extended to the case of non-axisymmetric problems in an axisymmetric domain, described by cylindrical coordinates. The method is based on a Fourier decomposition of the source into…

Numerical Analysis · Mathematics 2023-01-04 Michael J. Carley

Topic modeling is a very powerful technique in data analysis and data mining but it is generally slow. Many parallelization approaches have been proposed to speed up the learning process. However, they are usually not very efficient because…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-24 Hung Nghiep Tran , Atsuhiro Takasu

Recently, neural heuristics based on deep reinforcement learning have exhibited promise in solving multi-objective combinatorial optimization problems (MOCOPs). However, they are still struggling to achieve high learning efficiency and…

Machine Learning · Computer Science 2023-10-25 Jinbiao Chen , Jiahai Wang , Zizhen Zhang , Zhiguang Cao , Te Ye , Siyuan Chen

The aim of parallel computing is to increase an application performance by executing the application on multiple processors. OpenMP is an API that supports multi platform shared memory programming model and shared-memory programs are…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-12 Vibha Rajput , Alok Katiyar

Nested parallelism exists in scientific codes that are searching multi-dimensional spaces. However, implementations of nested parallelism often have overhead and load balance issues. The Orbital Analysis code we present exhibits a sparse…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-01 Benjamin James Gaska , Neha Jothi , Mahdi Soltan Mohammadi , Kat Volk , Michelle Mills Strout

An extremely common bottleneck encountered in statistical learning algorithms is inversion of huge covariance matrices, examples being in evaluating Gaussian likelihoods for a large number of data points. We propose general parallel…

Methodology · Statistics 2013-12-09 Anjishnu Banerjee , Joshua Vogelstein , David Dunson

This paper describes a massively parallel code for a state-of-the art thermal lattice- Boltzmann method. Our code has been carefully optimized for performance on one GPU and to have a good scaling behavior extending to a large number of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-02 E. Calore , A. Gabbana , J. Kraus , E. Pellegrini , S. F. Schifano , R. Tripiccione

Numerous applications of Eikonal equations prompted the development of many efficient numerical algorithms. The Heap-Cell Method (HCM) is a recent serial two-scale technique that has been shown to have advantages over other serial…

Numerical Analysis · Mathematics 2014-10-02 Adam Chacon , Alexander Vladimirsky

Automatic performance debugging of parallel applications usually involves two steps: automatic detection of performance bottlenecks and uncovering their root causes for performance optimization. Previous work fails to resolve this…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-02-24 Xu Liu , Lin Yuan , Jianfeng Zhan , Bibo Tu , Dan Meng

Recent advancements in large language models (LLMs) showcase varied multilingual capabilities across tasks like translation, code generation, and reasoning. Previous assessments often limited their scope to fundamental natural language…

Computation and Language · Computer Science 2025-05-15 Yidan Zhang , Yu Wan , Boyi Deng , Baosong Yang , Haoran Wei , Fei Huang , Bowen Yu , Junyang Lin , Fei Huang , Jingren Zhou

Molecular computing promises massive parallelization to explore solution spaces, but so far practical implementations remain limited due to off-target binding and exponential proliferation of competing structures. Here, we investigate the…

Soft Condensed Matter · Physics 2025-09-26 Erin Crawley , Qian-Ze Zhu , Michael P. Brenner

This work introduces a kernel-independent, multilevel, adaptive algorithm for efficiently evaluating a discrete convolution kernel with a given source distribution. The method is based on linear algebraic tools such as low rank…

Numerical Analysis · Mathematics 2025-07-11 Anna Yesypenko , Chao Chen , Per-Gunnar Martinsson
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