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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-vector multiplication (SpMV) operations are commonly used in various scientific applications. The performance of the SpMV operation often depends on exploiting regularity patterns in the matrix. Various representations have…

分布式、并行与集群计算 · 计算机科学 2019-07-25 Karan Aggarwal , Uday Bondhugula

In trained deep neural networks, unstructured pruning can reduce redundant weights to lower storage cost. However, it requires the customization of hardwares to speed up practical inference. Another trend accelerates sparse model inference…

计算机视觉与模式识别 · 计算机科学 2020-10-30 Zhuliang Yao , Shijie Cao , Wencong Xiao , Chen Zhang , Lanshun Nie

The Nvidia GPU architecture has introduced new computing elements such as the \textit{tensor cores}, which are special processing units dedicated to perform fast matrix-multiply-accumulate (MMA) operations and accelerate \textit{Deep…

分布式、并行与集群计算 · 计算机科学 2019-03-12 Roberto Carrasco , Raimundo Vega , Cristóbal A. Navarro

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

Matrix-accelerated stencil computation is a hot research topic, yet its application to three-dimensional (3D) high-order stencils and HPC remains underexplored. With the emergence of matrix units on multicore CPUs, we analyze matrix-based…

分布式、并行与集群计算 · 计算机科学 2025-07-16 Yinuo Wang , Tianqi Mao , Lin Gan , Wubing Wan , Zeyu Song , Jiayu Fu , Lanke He , Wenqiang Wang , Zekun Yin , Wei Xue , Guangwen Yang

The NVIDIA Volta GPU microarchitecture introduces a specialized unit, called "Tensor Core" that performs one matrix-multiply-and-accumulate on 4x4 matrices per clock cycle. The NVIDIA Tesla V100 accelerator, featuring the Volta…

分布式、并行与集群计算 · 计算机科学 2018-12-18 Stefano Markidis , Steven Wei Der Chien , Erwin Laure , Ivy Bo Peng , Jeffrey S. Vetter

We investigate the energy efficiency of a library designed for parallel computations with sparse matrices. The library leverages high-performance, energy-efficient Graphics Processing Unit (GPU) accelerators to enable large-scale scientific…

分布式、并行与集群计算 · 计算机科学 2026-04-16 Massimo Bernaschi , Alessandro Celestini , Pasqua D'Ambra , Giorgio Richelli

In recent years, novel AI accelerators have emerged as promising alternatives to GPU for AI model training and inference tasks. One such accelerator, the Cerebras CS-3, achieves strong performance on large model training as well as…

分布式、并行与集群计算 · 计算机科学 2026-05-01 Milan Shah , Sheng Di , Michela Becchi

This work focuses on accelerating the multiplication of a dense random matrix with a (fixed) sparse matrix, which is frequently used in sketching algorithms. We develop a novel scheme that takes advantage of blocking and recomputation…

计算工程、金融与科学 · 计算机科学 2024-05-14 Tianyu Liang , Riley Murray , Aydın Buluç , James Demmel

Matrix multiplication is a fundamental operation in both training of neural networks and inference. To accelerate matrix multiplication, Graphical Processing Units (GPUs) provide it implemented in hardware. Due to the increased throughput…

数学软件 · 计算机科学 2026-04-07 Faizan A. Khattak , Mantas Mikaitis

Machine learning (ML) models are widely used in many important domains. For efficiently processing these computational- and memory-intensive applications, tensors of these over-parameterized models are compressed by leveraging sparsity,…

硬件体系结构 · 计算机科学 2021-08-11 Shail Dave , Riyadh Baghdadi , Tony Nowatzki , Sasikanth Avancha , Aviral Shrivastava , Baoxin Li

Sparse matrix-vector and matrix-matrix multiplication (SpMV and SpMM) are fundamental in both conventional (graph analytics, scientific computing) and emerging (sparse DNN, GNN) domains. Workload-balancing and parallel-reduction are…

分布式、并行与集群计算 · 计算机科学 2021-10-15 Guyue Huang , Guohao Dai , Yu Wang , Yufei Ding , Yuan Xie

In computational science and data analytics, many workloads involve irregular and sparse computations that are inherently difficult to optimize for modern hardware. A key kernel is Sparse General Matrix-Matrix Multiplication (SpGEMM), which…

分布式、并行与集群计算 · 计算机科学 2026-04-22 Yifan Li , Giulia Guidi

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…

机器学习 · 计算机科学 2023-11-13 Nicolas Nytko , Ali Taghibakhshi , Tareq Uz Zaman , Scott MacLachlan , Luke N. Olson , Matt West

Sparse Matrix-Matrix multiplication is a key kernel that has applications in several domains such as scientific computing and graph analysis. Several algorithms have been studied in the past for this foundational kernel. In this paper, we…

分布式、并行与集群计算 · 计算机科学 2018-01-10 Mehmet Deveci , Christian Trott , Sivasankaran Rajamanickam

Reducing the computational cost of running large scale neural networks using sparsity has attracted great attention in the deep learning community. While much success has been achieved in reducing FLOP and parameter counts while maintaining…

机器学习 · 计算机科学 2023-04-06 Zhiyi Li , Douglas Orr , Valeriu Ohan , Godfrey Da costa , Tom Murray , Adam Sanders , Deniz Beker , Dominic Masters

Machine-learning force fields can deliver accurate molecular dynamics (MD) at high computational cost. For SO(3)-equivariant models such as MACE, there is little systematic evidence on whether reduced-precision arithmetic and GPU-optimized…

机器学习 · 计算机科学 2025-10-29 Alexandre Benoit

We demonstrate the possibility of what we call sparse learning: accelerated training of deep neural networks that maintain sparse weights throughout training while achieving dense performance levels. We accomplish this by developing sparse…

机器学习 · 计算机科学 2019-08-27 Tim Dettmers , Luke Zettlemoyer

The importance of general matrix multiplication (GEMM) is motivating new instruction set extensions for multiplying dense matrices in almost all contemporary ISAs, and these extensions are often implemented using high-performance systolic…

硬件体系结构 · 计算机科学 2025-02-18 Tuan Ta , Joshua Randall , Christopher Batten