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In this paper, we demonstrate how GPU-accelerated BEM routines can be used in a simple black-box fashion to accelerate fast boundary element formulations based on Hierarchical Matrices (H-Matrices) with ACA (Adaptive Cross Approximation).…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-07 Kerstin Vater , Timo Betcke , Boris Dilba

This paper discusses the potential of graphics processing units (GPUs) in high-dimensional optimization problems. A single GPU card with hundreds of arithmetic cores can be inserted in a personal computer and dramatically accelerates many…

Computation · Statistics 2015-03-13 Hua Zhou , Kenneth Lange , Marc A. Suchard

We present a case-study on the utility of graphics cards to perform massively parallel simulation of advanced Monte Carlo methods. Graphics cards, containing multiple Graphics Processing Units (GPUs), are self-contained parallel…

Computation · Statistics 2015-05-05 Anthony Lee , Christopher Yau , Michael B. Giles , Arnaud Doucet , Christopher C. Holmes

Graphics processing units (GPU) had evolved from a specialized hardware capable to render high quality graphics in games to a commodity hardware for effective processing blocks of data in a parallel schema. This evolution is particularly…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-26 Luis Cabellos

We implement two novel algorithms for sparse-matrix dense-matrix multiplication (SpMM) on the GPU. Our algorithms expect the sparse input in the popular compressed-sparse-row (CSR) format and thus do not require expensive format conversion.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-13 Carl Yang , Aydin Buluc , John D. Owens

We accelerated an ab-initio molecular QMC calculation by using GPGPU. Only the bottle-neck part of the calculation is replaced by CUDA subroutine and performed on GPU. The performance on a (single core CPU + GPU) is compared with that on a…

Computational Physics · Physics 2012-04-06 Yutaka Uejima , Tomoharu Terashima , Ryo Maezono

Many recent GPUs feature matrix multiplication engines (aka Tensor Core Units or TCUs) that perform small fixed-size matrix-matrix products at very high throughput. They have been used very effectively to speed up dense matrix-matrix…

Performance · Computer Science 2025-11-25 Lizhi Xiang , Omid Asudeh , Gerald Sabin , Aravind Sukumaran-Rajam , P. Sadayappan

Machine learning (ML) is successful in achieving human-level performance in various fields. However, it lacks the ability to explain an outcome due to its black-box nature. While existing explainable ML is promising, almost all of these…

Machine Learning · Computer Science 2021-03-23 Zhixin Pan , Prabhat Mishra

We describe GPU implementations of the matrix recommender algorithms CCD++ and ALS. We compare the processing time and predictive ability of the GPU implementations with existing multi-core versions of the same algorithms. Results on the…

Information Retrieval · Computer Science 2015-11-10 André Valente Rodrigues , Alípio Jorge , Inês Dutra

We propose different implementations of the sparse matrix--dense vector multiplication (\spmv{}) for finite fields and rings $\Zb/m\Zb$. We take advantage of graphic card processors (GPU) and multi-core architectures. Our aim is to improve…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-09-09 Brice Boyer , Jean-Guillaume Dumas , Pascal Giorgi

Designing problems using matrices is very important in Computer Science. Fields like graph computer, graphs theory, and machine learning use matrices very often to solve their own problems. The most often matrix operation is the…

Performance · Computer Science 2019-05-10 Andre G. C. Pacheco

Recently, reinforcement algorithms discovered new algorithms that really jump-started a wave of excitements and a flourishing of publications. However, there is little on implementations, applications, and, especially, no absolute…

Mathematical Software · Computer Science 2023-12-21 Paolo D'Alberto

Matrix decompositions are ubiquitous in machine learning, including applications in dimensionality reduction, data compression and deep learning algorithms. Typical solutions for matrix decompositions have polynomial complexity which…

Machine Learning · Computer Science 2024-03-13 Łukasz Struski , Paweł Morkisz , Przemysław Spurek , Samuel Rodriguez Bernabeu , Tomasz Trzciński

We explored the possible benefits of integrating quantum simulators in a "hybrid" quantum machine learning (QML) workflow that uses both classical and quantum computations in a high-performance computing (HPC) environment. Here, we used two…

Emerging Technologies · Computer Science 2024-07-11 Samuel T. Bieberich , Michael A. Sandoval

Graphics Processing Units allow for running massively parallel applications offloading the CPU from computationally intensive resources, however GPUs have a limited amount of memory. In this paper a trie compression algorithm for massively…

Data Structures and Algorithms · Computer Science 2017-02-20 Xavier Bellekens , Amar Seeam , Christos Tachtatzis , Robert Atkinson

Current computational systems are heterogeneous by nature, featuring a combination of CPUs and GPUs. As the latter are becoming an established platform for high-performance computing, the focus is shifting towards the seamless programming…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-23 Fábio Soldado , Fernando Alexandre , Hervé Paulino

We present a GPU implementation of LAMMPS, a widely-used parallel molecular dynamics (MD) software package, and show 5x to 13x single node speedups versus the CPU-only version of LAMMPS. This new CUDA package for LAMMPS also enables…

Materials Science · Physics 2011-03-08 Christian R. Trott , Lars Winterfeld , Paul S. Crozier

Future experiments in high-energy physics will pose stringent requirements to computing, in particular to real-time data processing. As an example, the CBM experiment at FAIR Germany intends to perform online data selection exclusively in…

Computational Physics · Physics 2020-02-06 V. Singhal , S. Chattopadhyay , V. Friese

Scaling up the sparse matrix-vector multiplication kernel on modern Graphics Processing Units (GPU) has been at the heart of numerous studies in both academia and industry. In this article we present a novel non-parametric, self-tunable,…

Numerical Analysis · Computer Science 2012-12-24 Xintian Yang , Srinivasan Parthasarathy , Ponnuswamy Sadayappan

The trend towards highly parallel multi-processing is ubiquitous in all modern computer architectures, ranging from handheld devices to large-scale HPC systems; yet many applications are struggling to fully utilise the multiple levels of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-19 Michael Lange , Gerard Gorman , Michele Weiland , Lawrence Mitchell , Xiaohu Guo , James Southern