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This paper presents a low-overhead optimizer for the ubiquitous sparse matrix-vector multiplication (SpMV) kernel. Architectural diversity among different processors together with structural diversity among different sparse matrices lead to…

性能 · 计算机科学 2017-11-16 Athena Elafrou , Georgios Goumas , Nektarios Koziris

Sparse matrix-vector multiplication (SpMV) is a crucial computing kernel with widespread applications in iterative algorithms. Over the past decades, research on SpMV optimization has made remarkable strides, giving rise to various…

分布式、并行与集群计算 · 计算机科学 2024-04-10 Jianhua Gao , Bingjie Liu , Weixing Ji , Hua Huang

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

In this paper, we propose an optimization selection methodology for the ubiquitous sparse matrix-vector multiplication (SpMV) kernel. We propose two models that attempt to identify the major performance bottleneck of the kernel for every…

性能 · 计算机科学 2016-01-12 Athena Elafrou , Georgios Goumas , Nectarios Koziris

Sparse matrix-dense matrix multiplication (SpMM) is a critical kernel in scientific computing, graph analytics, and machine learning, whose performance is often constrained by memory bandwidth. In this work, we investigate the applicability…

分布式、并行与集群计算 · 计算机科学 2026-04-09 Matthew Qian , Yahia Ramadan , Suhita Anubha , Ariful Azad

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

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

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 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-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

Neural network models are widely used in solving many challenging problems, such as computer vision, personalized recommendation, and natural language processing. Those models are very computationally intensive and reach the hardware limit…

机器学习 · 计算机科学 2020-04-28 Fei Sun , Minghai Qin , Tianyun Zhang , Liu Liu , Yen-Kuang Chen , Yuan Xie

The rapid growth in the size of deep learning models strains the capabilities of traditional dense computation paradigms. Leveraging sparse computation has become increasingly popular for training and deploying large-scale models, but…

机器学习 · 计算机科学 2024-06-21 Bobby Yan , Alexander J. Root , Trevor Gale , David Broman , Fredrik Kjolstad

Despite numerous efforts for optimizing the performance of Sparse Matrix and Vector Multiplication (SpMV) on modern hardware architectures, few works are done to its sparse counterpart, Sparse Matrix and Sparse Vector Multiplication…

分布式、并行与集群计算 · 计算机科学 2020-12-18 Min Li , Yulong Ao , Chao Yang

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

Sparse decision tree optimization has been one of the most fundamental problems in AI since its inception and is a challenge at the core of interpretable machine learning. Sparse decision tree optimization is computationally hard, and…

机器学习 · 计算机科学 2022-07-07 Hayden McTavish , Chudi Zhong , Reto Achermann , Ilias Karimalis , Jacques Chen , Cynthia Rudin , Margo Seltzer

Sparse principal component analysis (sparse PCA) aims at finding a sparse basis to improve the interpretability over the dense basis of PCA, meanwhile the sparse basis should cover the data subspace as much as possible. In contrast to most…

机器学习 · 计算机科学 2014-05-02 Zhenfang Hu , Gang Pan , Yueming Wang , Zhaohui Wu

Sparse matrix operations involve a large number of zero operands which makes most of the operations redundant. The amount of redundancy magnifies when a matrix operation repeatedly executes on sparse data. Optimizing matrix operations for…

数学软件 · 计算机科学 2023-07-13 Barnali Basak , Uday P. Khedker , Supratim Biswas

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

We design and develop a work-efficient multithreaded algorithm for sparse matrix-sparse vector multiplication (SpMSpV) where the matrix, the input vector, and the output vector are all sparse. SpMSpV is an important primitive in the…

分布式、并行与集群计算 · 计算机科学 2016-10-26 Ariful Azad , Aydin Buluc

Sparse Principal Component Analysis (sPCA) is a cardinal technique for obtaining combinations of features, or principal components (PCs), that explain the variance of high-dimensional datasets in an interpretable manner. This involves…

最优化与控制 · 数学 2025-12-02 Ryan Cory-Wright , Jean Pauphilet
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