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We present new adaptive format for storing sparse matrices on GPU. We compare it with several other formats including CUSPARSE which is today probably the best choice for processing of sparse matrices on GPU in CUDA. Contrary to CUSPARSE…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-27 Martin Heller , Tomáš Oberhuber

A new format for storing sparse matrices is proposed for efficient sparse matrix-vector (SpMV) product calculation on modern graphics processing units (GPUs). This format extends the standard compressed row storage (CRS) format and can be…

Computational Physics · Physics 2014-04-29 Zbigniew Koza , Maciej Matyka , Sebastian Szkoda , Łukasz Mirosław

Sparse matrix-vector multiplication (SpMV) is a fundamental building block for numerous applications. In this paper, we propose CSR5 (Compressed Sparse Row 5), a new storage format, which offers high-throughput SpMV on various platforms…

Mathematical Software · Computer Science 2015-04-13 Weifeng Liu , Brian Vinter

Sparse matrices and linear algebra are at the heart of scientific simulations. Over the years, more than 70 sparse matrix storage formats have been developed, targeting a wide range of hardware architectures and matrix types, each of which…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-20 Christodoulos Stylianou , Mark Klaisoongnoen , Ricardo Jesus , Nick Brown , Michele Weiland

Runtime characteristics of sparse matrix computations and related processes may be often improved by reducing memory footprints of involved matrices. Such a reduction can be usually achieved when matrices are processed in a block-wise…

Numerical Analysis · Computer Science 2018-01-01 Daniel Langr

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

Despite the importance of sparse matrices in numerous fields of science, software implementations remain difficult to use for non-expert users, generally requiring the understanding of underlying details of the chosen sparse matrix storage…

Mathematical Software · Computer Science 2019-07-23 Conrad Sanderson , Ryan Curtin

Sparse storage formats are techniques for storing and processing the sparse matrix data efficiently. The performance of these storage formats depend upon the distribution of non-zeros, within the matrix in different dimensions. In order to…

Mathematical Software · Computer Science 2012-02-28 Muhammad Taimoor Khan , Anila Usman

Reducing the memory footprint of neural networks is a crucial prerequisite for deploying them in small and low-cost embedded devices. Network parameters can often be reduced significantly through pruning. We discuss how to best represent…

Data Structures and Algorithms · Computer Science 2021-11-25 Elias Trommer , Bernd Waschneck , Akash Kumar

We consider the problem of developing an efficient multi-threaded implementation of the matrix-vector multiplication algorithm for sparse matrices with structural symmetry. Matrices are stored using the compressed sparse row-column format…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-18 Vicente H. F. Batista , George O. Ainsworth , Fernando L. B. Ribeiro

Sparse matrix-vector multiplication (SpMV) is one of the most important kernels in high-performance computing (HPC), yet SpMV normally suffers from ill performance on many devices. Due to ill performance, SpMV normally requires special care…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-09 Phillip Allen Lane , Joshua Dennis Booth

Multiplication of a sparse matrix to a dense matrix (SpDM) is widely used in many areas like scientific computing and machine learning. However, existing works under-look the performance optimization of SpDM on modern many-core…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-01 Shaohuai Shi , Qiang Wang , Xiaowen Chu

We suggest a technique to reduce the storage size of sparse matrices at no loss of information. We call this technique Diagonally-Adressed (DA) storage. It exploits the typically low matrix bandwidth of matrices arising in applications. For…

Numerical Analysis · Mathematics 2025-01-24 Jens Saak , Jonas Schulze

With the increasing development of neuromorphic platforms and their related software tools as well as the increasing scale of spiking neural network (SNN) models, there is a pressure for interoperable and scalable representations of network…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-13 Felix Wang

When implementing functionality which requires sparse matrices, there are numerous storage formats to choose from, each with advantages and disadvantages. To achieve good performance, several formats may need to be used in one program,…

Mathematical Software · Computer Science 2019-10-22 Conrad Sanderson , Ryan Curtin

Sparse matrix representations are ubiquitous in computational science and machine learning, leading to significant reductions in compute time, in comparison to dense representation, for problems that have local connectivity. The adoption of…

Machine Learning · Computer Science 2023-11-13 Nicolas Nytko , Ali Taghibakhshi , Tareq Uz Zaman , Scott MacLachlan , Luke N. Olson , Matt West

Sparse matrix-vector multiplication (SpMV) is a central building block for scientific software and graph applications. Recently, heterogeneous processors composed of different types of cores attracted much attention because of their…

Mathematical Software · Computer Science 2015-09-15 Weifeng Liu , Brian Vinter

Sparse matrix-vector multiplication (spMVM) is the dominant operation in many sparse solvers. We investigate performance properties of spMVM with matrices of various sparsity patterns on the nVidia "Fermi" class of GPGPUs. A new "padded…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-03-08 Moritz Kreutzer , Georg Hager , Gerhard Wellein , Holger Fehske , Achim Basermann , Alan R. Bishop

The main objective of this work consists in analyzing sub-structuring method for the parallel solution of sparse linear systems with matrices arising from the discretization of partial differential equations such as finite element, finite…

Numerical Analysis · Mathematics 2021-08-31 Abal-Kassim Cheik Ahamed , Frédéric Magoulès

Sparse linear algebra kernels play a critical role in numerous applications, covering from exascale scientific simulation to large-scale data analytics. Offloading linear algebra kernels on one GPU will no longer be viable in these…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-19 Jieyang Chen , Chenhao Xie , Jesun S Firoz , Jiajia Li , Shuaiwen Leon Song , Kevin Barker , Mark Raugas , Ang Li
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