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Generalized Sparse Matrix-Matrix Multiplication (SpGEMM) is a ubiquitous task in various engineering and scientific applications. However, inner product based SpGENN introduces redundant input fetches for mismatched nonzero operands, while…

硬件体系结构 · 计算机科学 2024-04-05 Zhekai Zhang , Hanrui Wang , Song Han , William J. Dally

In this paper, we focus on three sparse matrix operations that are relevant for machine learning applications, namely, the sparse-dense matrix multiplication (SPMM), the sampled dense-dense matrix multiplication (SDDMM), and the composition…

机器学习 · 计算机科学 2023-11-02 Mohammad Zubair , Christoph Bauinger

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

Sparse matrix-vector multiplication (SpMxV) is a kernel operation widely used in iterative linear solvers. The same sparse matrix is multiplied by a dense vector repeatedly in these solvers. Matrices with irregular sparsity patterns make it…

数值分析 · 计算机科学 2013-10-10 Kadir Akbudak , Enver Kayaaslan , Cevdet Aykanat

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,…

数值分析 · 计算机科学 2012-12-24 Xintian Yang , Srinivasan Parthasarathy , Ponnuswamy Sadayappan

Intel Xeon Phi is a recently released high-performance coprocessor which features 61 cores each supporting 4 hardware threads with 512-bit wide SIMD registers achieving a peak theoretical performance of 1Tflop/s in double precision. Many…

性能 · 计算机科学 2013-02-06 Erik Saule , Kamer Kaya , Umit V. Catalyurek

Sparse matrix-matrix multiplication (SpGEMM) is a computational primitive that is widely used in areas ranging from traditional numerical applications to recent big data analysis and machine learning. Although many SpGEMM algorithms have…

分布式、并行与集群计算 · 计算机科学 2018-06-27 Yusuke Nagasaka , Satoshi Matsuoka , Ariful Azad , Aydın Buluç

Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental operation in graph computing and analytics. However, the irregularity of real-world graphs poses significant challenges to achieving efficient SpMM operation for graph data on…

分布式、并行与集群计算 · 计算机科学 2024-12-13 Zhonggen Li , Xiangyu Ke , Yifan Zhu , Yunjun Gao , Yaofeng Tu

We introduce an algorithm for efficiently representing convolution with zero-padding and stride as a sparse transformation matrix, applied to a vectorized input through sparse matrix-vector multiplication (SpMV). We provide a theoretical…

机器学习 · 计算机科学 2024-12-02 Zan Chaudhry

General sparse matrix-matrix multiplication (SpGEMM) is a fundamental building block for numerous applications such as algebraic multigrid method (AMG), breadth first search and shortest path problem. Compared to other sparse BLAS routines,…

数学软件 · 计算机科学 2015-09-15 Weifeng Liu , Brian Vinter

Sparse matrix-vector multiplication is often employed in many data-analytic workloads in which low latency and high throughput are more valuable than exact numerical convergence. FPGAs provide quick execution times while offering precise…

分布式、并行与集群计算 · 计算机科学 2020-09-23 Alberto Parravicini , Francesco Sgherzi , Marco D. Santambrogio

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…

数值分析 · 数学 2025-01-24 Jens Saak , Jonas Schulze

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

We evaluate optimized parallel sparse matrix-vector operations for several representative application areas on widespread multicore-based cluster configurations. First the single-socket baseline performance is analyzed and modeled with…

分布式、并行与集群计算 · 计算机科学 2012-03-01 Gerald Schubert , Holger Fehske , Georg Hager , Gerhard Wellein

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…

性能 · 计算机科学 2009-10-27 Jan Treibig , Georg Hager , Gerhard Wellein

Sparse matrix-vector multiplication (SpMV) is a fundamental operation with a wide range of applications in scientific computing and artificial intelligence. However, the large scale and sparsity of sparse matrix often make it a performance…

分布式、并行与集群计算 · 计算机科学 2025-04-15 Chen Yan , Boyu Diao , Hangda Liu , Zhulin An , Yongjun Xu

Sparse Matrix-Vector Multiplication (SpMV) is the cornerstone in many iterative workloads, including large-scale graph analytics and sparse iterative solvers. Accelerating SpMV on real-world graphs remains challenging due to highly…

分布式、并行与集群计算 · 计算机科学 2026-05-11 Qi Zhang , Zhengan Yao , Zhenglu Jiang , Zan-Bo Zhang

Sparse matrix-matrix multiplication (SpGEMM) is a critical operation in numerous fields, including scientific computing, graph analytics, and deep learning. These applications exploit the sparsity of matrices to reduce storage and…

机器学习 · 计算机科学 2024-08-30 Sanjali Yadav , Bahar Asgari

Sparse matrix-sparse matrix multiplication (SpGEMM) is a key kernel in many scientific applications and graph workloads. Unfortunately, SpGEMM is bottlenecked by data movement due to its irregular memory access patterns. Significant work…

分布式、并行与集群计算 · 计算机科学 2025-07-30 Abdullah Al Raqibul Islam , Helen Xu , Dong Dai , Aydın Buluç

Sparse matrix-matrix multiplication (SpGEMM) is a widely used kernel in various graph, scientific computing and machine learning algorithms. It is well known that SpGEMM is a memory-bound operation, and its peak performance is expected to…

分布式、并行与集群计算 · 计算机科学 2020-02-27 Zhixiang Gu , Jose Moreira , David Edelsohn , Ariful Azad