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The matrices used in many computational settings are naturally sparse, holding a small percentage of nonzero elements. Storing such matrices in specialized sparse formats enables algorithms that avoid wasting computation on zeros,…

分布式、并行与集群计算 · 计算机科学 2026-02-13 Pratyush Das , Amirhossein Basareh , Adhitha Dias , Artem Pelenitsyn , Kirshanthan Sundararajah , Milind Kulkarni , Ben Delaware

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…

性能 · 计算机科学 2025-11-25 Lizhi Xiang , Omid Asudeh , Gerald Sabin , Aravind Sukumaran-Rajam , P. Sadayappan

Graph neural networks (GNNs) are emerging as a powerful technique for modeling graph structures. Due to the sparsity of real-world graph data, GNN performance is limited by extensive sparse matrix multiplication (SpMM) operations involved…

机器学习 · 计算机科学 2021-11-02 Shenghao Qiu , You Liang , Zheng Wang

We present a novel, practical approach to speed up sparse matrix-vector multiplication (SpMVM) on GPUs. The novel key idea is to apply lossless entropy coding to further compress the sparse matrix when stored in one of the commonly…

性能 · 计算机科学 2026-03-03 Emil Schätzle , Tommaso Pegolotti , Markus Püschel

Distributed Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental operation in high-performance computing and deep learning applications. The major performance bottleneck in distributed SpMM lies in substantial communication overhead,…

分布式、并行与集群计算 · 计算机科学 2026-05-14 Chen Zhuang , Lingqi Zhang , Benjamin Brock , Du Wu , Peng Chen , Toshio Endo , Satoshi Matsuoka , Mohamed Wahib

Sparse matrix multiplication (SpMM) is widely applied to numerous domains, such as graph processing, machine learning, and data analytics. However, inner product based SpMM induces redundant zero-element computing for mismatched nonzero…

硬件体系结构 · 计算机科学 2023-12-21 Wenhao Sun , Wendi Sun , Song Chen , Yi Kang

Iterative solutions of sparse linear systems and sparse eigenvalue problems have a fundamental role in vital fields of scientific research and engineering. The crucial computing kernel for such iterative solutions is the multiplication of a…

数据结构与算法 · 计算机科学 2022-12-16 Thaha Mohammed , Rashid Mehmood

General Matrix Multiplication (GEMM) is a critical operation underpinning a wide range of applications in high-performance computing (HPC) and artificial intelligence (AI). The emergence of hardware optimized for low-precision arithmetic…

分布式、并行与集群计算 · 计算机科学 2025-08-21 Qiao Zhang , Rabab Alomairy , Dali Wang , Zhuowei Gu , Qinglei Cao

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

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…

分布式、并行与集群计算 · 计算机科学 2010-09-09 Brice Boyer , Jean-Guillaume Dumas , Pascal Giorgi

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

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

It is widely acknowledged that the performance of Transformer models is logarithmically related to their number of parameters and computational complexity. While approaches like Mixture of Experts (MoE) decouple parameter count from…

机器学习 · 计算机科学 2025-02-07 Zihao Huang , Qiyang Min , Hongzhi Huang , Defa Zhu , Yutao Zeng , Ran Guo , Xun Zhou

In recent years, Transformer-based language models have become the standard approach for natural language processing tasks. However, stringent throughput and latency requirements in industrial applications are limiting their adoption. To…

Recent architectures integrate high-performance and power-efficient matrix engines. These engines demonstrate remarkable performance in low-precision matrix multiplication, which is crucial in deep learning. Several techniques have been…

分布式、并行与集群计算 · 计算机科学 2025-11-13 Yuki Uchino , Katsuhisa Ozaki , Toshiyuki Imamura

The growing demand for sparse tensor algebra (SpTA) in machine learning and big data has driven the development of various sparse tensor accelerators. However, most existing manually designed accelerators are limited to specific scenarios,…

机器学习 · 计算机科学 2025-08-19 Boran Zhao , Haiming Zhai , Zihang Yuan , Hetian Liu , Tian Xia , Wenzhe Zhao , Pengju Ren

General Matrix Multiplication (GEMM) is a ubiquitous compute kernel in deep learning (DL). To support energy-efficient edge-native processing, new GEMM hardware units have been proposed that operate on unary encoded bitstreams using much…

Graph Neural Networks (GNNs) are a computationally efficient method to learn embeddings and classifications on graph data. However, GNN training has low computational intensity, making communication costs the bottleneck for scalability.…

机器学习 · 计算机科学 2025-04-08 Ujjaini Mukhodopadhyay , Alok Tripathy , Oguz Selvitopi , Katherine Yelick , Aydin Buluc

The exponentially growing model size drives the continued success of deep learning, but it brings prohibitive computation and memory cost. From the algorithm perspective, model sparsification and quantization have been studied to alleviate…

分布式、并行与集群计算 · 计算机科学 2023-05-09 Shigang Li , Kazuki Osawa , Torsten Hoefler