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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…

数据结构与算法 · 计算机科学 2021-11-25 Elias Trommer , Bernd Waschneck , Akash Kumar

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…

计算物理 · 物理学 2014-04-29 Zbigniew Koza , Maciej Matyka , Sebastian Szkoda , Łukasz Mirosław

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…

数值分析 · 计算机科学 2018-01-01 Daniel Langr

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…

数学软件 · 计算机科学 2015-04-13 Weifeng Liu , Brian Vinter

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.…

分布式、并行与集群计算 · 计算机科学 2018-06-13 Carl Yang , Aydin Buluc , John D. Owens

Accelerators for sparse matrix multiplication are important components in emerging systems. In this paper, we study the main challenges of accelerating Sparse Matrix Multiplication (SpMM). For the situations that data is not stored in the…

硬件体系结构 · 计算机科学 2019-06-04 Pareesa Ameneh Golnari , Sharad Malik

Sparse Matrix Vector multiplication (SpMV) is one of basic building blocks in scientific computing, and acceleration of SpMV has been continuously required. In this research, we aim for accelerating SpMV on recent CPUs for sparse matrices…

分布式、并行与集群计算 · 计算机科学 2021-05-12 Takeshi Fukaya , Koki Ishida , Akie Miura , Takeshi Iwashita , Hiroshi Nakashima

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…

分布式、并行与集群计算 · 计算机科学 2015-05-18 Vicente H. F. Batista , George O. Ainsworth , Fernando L. B. Ribeiro

The multiplication of a sparse matrix with a dense vector (SpMV) is a key component in many numerical schemes and its performance is known to be severely limited by main memory access. Several numerical schemes require the multiplication of…

数值分析 · 数学 2023-01-11 Christie L. Alappat , Georg Hager , Olaf Schenk , Gerhard Wellein

Sparse deep learning has reduced computation significantly, but its irregular non-zero data distribution complicates the data flow and hinders data reuse, increasing on-chip SRAM access and thus power consumption of the chip. This paper…

硬件体系结构 · 计算机科学 2025-03-26 Kai-Chieh Hsu , Tian-Sheuan Chang

Sparse matrices are the key ingredients of several application domains, from scientific computation to machine learning. The primary challenge with sparse matrices has been efficiently storing and transferring data, for which many sparse…

硬件体系结构 · 计算机科学 2023-05-12 Bahar Asgari , Ramyad Hadidi , Joshua Dierberger , Charlotte Steinichen , Amaan Marfatia , Hyesoon Kim

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…

分布式、并行与集群计算 · 计算机科学 2013-03-08 Moritz Kreutzer , Georg Hager , Gerhard Wellein , Holger Fehske , Achim Basermann , Alan R. Bishop

Ordering vertices of a graph is key to minimize fill-in and data structure size in sparse direct solvers, maximize locality in iterative solvers, and improve performance in graph algorithms. Except for naturally parallelizable ordering…

分布式、并行与集群计算 · 计算机科学 2016-10-27 Ariful Azad , Mathias Jacquelin , Aydin Buluc , Esmond G. Ng

Sparse Matrix-Vector multiplication (SpMV) is an essential computational kernel in many application scenarios. Tens of sparse matrix formats and implementations have been proposed to compress the memory storage and speed up SpMV…

分布式、并行与集群计算 · 计算机科学 2022-12-22 Zhen Du , Jiajia Li , Yinshan Wang , Xueqi Li , Guangming Tan , Ninghui Sun

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…

分布式、并行与集群计算 · 计算机科学 2023-04-20 Christodoulos Stylianou , Mark Klaisoongnoen , Ricardo Jesus , Nick Brown , Michele Weiland

We consider a sparse matrix-matrix multiplication (SpGEMM) setting where one matrix is square and the other is tall and skinny. This special variant, called TS-SpGEMM, has important applications in multi-source breadth-first search,…

分布式、并行与集群计算 · 计算机科学 2024-08-23 Isuru Ranawaka , Md Taufique Hussain , Charles Block , Gerasimos Gerogiannis , Josep Torrellas , Ariful Azad

Sparse matrix-vector multiplication (SpMV) is a fundamental operation in scientific computing, data analysis, and machine learning. When the data being processed are sensitive, preserving privacy becomes critical, and homomorphic encryption…

密码学与安全 · 计算机科学 2026-03-06 Yang Gao , Gang Quan , Wujie Wen , Scott Piersall , Qian Lou , Liqiang Wang

We present a distributed-memory library for computations with dense structured matrices. A matrix is considered structured if its off-diagonal blocks can be approximated by a rank-deficient matrix with low numerical rank. Here, we use…

数学软件 · 计算机科学 2015-06-29 François-Henry Rouet , Xiaoye S. Li , Pieter Ghysels , Artem Napov

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…

分布式、并行与集群计算 · 计算机科学 2012-03-27 Martin Heller , Tomáš Oberhuber

Sparse matrices and linear algebra are at the heart of scientific simulations. More than 70 sparse matrix storage formats have been developed over the years, targeting a wide range of hardware architectures and matrix types. Each format is…

分布式、并行与集群计算 · 计算机科学 2022-09-15 Chris Stylianou , Michele Weiland
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