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Sparse compiler is a promising solution for sparse tensor algebra optimization. In compiler implementation, reduction in sparse-dense hybrid algebra plays a key role in performance. Though GPU provides various reduction semantics that can…

分布式、并行与集群计算 · 计算机科学 2023-01-10 Genghan Zhang , Yuetong Zhao , Yanting Tao , Zhongming Yu , Guohao Dai , Sitao Huang , Yuan Wen , Pavlos Petoumenos , Yu 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

Tensor Cores have been an important unit to accelerate Fused Matrix Multiplication Accumulation (MMA) in all NVIDIA GPUs since Volta Architecture. To program Tensor Cores, users have to use either legacy wmma APIs or current mma APIs.…

硬件体系结构 · 计算机科学 2022-11-29 Wei Sun , Ang Li , Tong Geng , Sander Stuijk , Henk Corporaal

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

Achieving high efficiency with numerical kernels for sparse matrices is of utmost importance, since they are part of many simulation codes and tend to use most of the available compute time and resources. In addition, especially in large…

性能 · 计算机科学 2013-05-07 Tobias Scharpff , Klaus Iglberger , Georg Hager , Ulrich Ruede

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

Graph Convolutional Networks (GCNs) are recently getting much attention in bioinformatics and chemoinformatics as a state-of-the-art machine learning approach with high accuracy. GCNs process convolutional operations along with graph…

分布式、并行与集群计算 · 计算机科学 2019-03-28 Yusuke Nagasaka , Akira Nukada , Ryosuke Kojima , Satoshi Matsuoka

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

The sparse matrix-vector (SpMV) multiplication is an important computational kernel, but it is notoriously difficult to execute efficiently. This paper investigates algorithm performance for unstructured sparse matrices, which are more…

分布式、并行与集群计算 · 计算机科学 2025-02-27 Kobe Bergmans , Karl Meerbergen , Raf Vandebril

Sparse general matrix multiplication (SpGEMM) is an important and expensive computation primitive in many real-world applications. Due to SpGEMM's inherent irregularity and the vast diversity of its input matrices, developing…

分布式、并行与集群计算 · 计算机科学 2022-06-16 Zhaoyang Du , Yijin Guan , Tianchan Guan , Dimin Niu , Linyong Huang , Hongzhong Zheng , Yuan Xie

Sparse matrix-dense matrix multiplication (SpMM) is a critical kernel in both scientific computing and emerging graph learning workloads. The recent Armv9 architecture introduces Scalable Matrix Extension (SME), enabling tile-based matrix…

分布式、并行与集群计算 · 计算机科学 2025-11-14 Kelun Lei , Hailong Yang , Kaige Zhang , Kejie Ma , Yiqing Wang , Xin You , Yufan Xu , Enrique S. Quintana-Orti , Zhongzhi Luan , Yi Liu , Depei Qian

Tensor accelerators have gained popularity because they provide a cheap and efficient solution for speeding up computational-expensive tasks in Deep Learning and, more recently, in other Scientific Computing applications. However, since…

分布式、并行与集群计算 · 计算机科学 2022-02-15 Paolo Sylos Labini , Massimo Bernaschi , Francesco Silvestri , Flavio Vella

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…

分布式、并行与集群计算 · 计算机科学 2020-06-01 Shaohuai Shi , Qiang Wang , Xiaowen Chu

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

Sparse matrix-vector multiplication (SpMV) is an essential linear algebra operation that dominates the computing cost in many scientific applications. Due to providing massive parallelism and high memory bandwidth, GPUs are commonly used to…

分布式、并行与集群计算 · 计算机科学 2023-02-14 Mina Ashoury , Mohammad Loni , Farshad Khunjush , Masoud Daneshtalab

Tensor computations, with matrix multiplication being the primary operation, serve as the fundamental basis for data analysis, physics, machine learning, and deep learning. As the scale and complexity of data continue to grow rapidly, the…

硬件体系结构 · 计算机科学 2024-10-24 Qizhe Wu , Yuchen Gui , Zhichen Zeng , Xiaotian Wang , Huawen Liang , Xi Jin

Sparse tensor programs are essential in deep learning and graph analytics, driving the need for optimized processing. To meet this demand, specialized hardware accelerators are being developed. Optimizing these programs for accelerators is…

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

Sparse matrix multiplication is traditionally performed in memory and scales to large matrices using the distributed memory of multiple nodes. In contrast, we scale sparse matrix multiplication beyond memory capacity by implementing sparse…

分布式、并行与集群计算 · 计算机科学 2016-11-15 Da Zheng , Disa Mhembere , Vince Lyzinski , Joshua Vogelstein , Carey E. Priebe , Randal Burns

We contribute a third-party survey of sparse matrix-vector (SpMV) product performance on industrial-strength, large matrices using: (1) The SpMV implementations in Intel MKL, the Trilinos project (Tpetra subpackage), the CUSPARSE library,…