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Knowledge graph (KG) learning offers a powerful framework for generating new knowledge and making inferences. Training KG embedding can take a significantly long time, especially for larger datasets. Our analysis shows that the gradient…

机器学习 · 计算机科学 2025-05-01 Md Saidul Hoque Anik , Ariful Azad

Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental computation in graph analytics, scientific simulation, and sparse deep learning workloads. However, the extreme irregularity of real-world sparse matrices prevents existing…

分布式、并行与集群计算 · 计算机科学 2026-03-11 Aiying Li , Jingwei Sun , Han Li , Wence Ji , Guangzhong Sun

Scientific workloads have traditionally exploited high levels of sparsity to accelerate computation and reduce memory requirements. While deep neural networks can be made sparse, achieving practical speedups on GPUs is difficult because…

机器学习 · 计算机科学 2020-09-02 Trevor Gale , Matei Zaharia , Cliff Young , Erich Elsen

Applying machine learning techniques to the quickly growing data in science and industry requires highly-scalable algorithms. Large datasets are most commonly processed "data parallel" distributed across many nodes. Each node's contribution…

分布式、并行与集群计算 · 计算机科学 2019-08-19 Cedric Renggli , Saleh Ashkboos , Mehdi Aghagolzadeh , Dan Alistarh , Torsten Hoefler

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

Graph Neural Networks (GNNs) offer a compact and computationally efficient way to learn embeddings and classifications on graph data. GNN models are frequently large, making distributed minibatch training necessary. The primary contribution…

机器学习 · 计算机科学 2024-04-22 Alok Tripathy , Katherine Yelick , Aydin Buluc

Multiplication of a sparse matrix with another (dense or sparse) matrix is a fundamental operation that captures the computational patterns of many data science applications, including but not limited to graph algorithms, sparsely connected…

数值分析 · 数学 2025-08-07 Aydın Buluç

The state-of-the-art deep neural networks (DNNs) have significant computational and data management requirements. The size of both training data and models continue to increase. Sparsification and pruning methods are shown to be effective…

机器学习 · 计算机科学 2021-04-27 Gunduz Vehbi Demirci , Hakan Ferhatosmanoglu

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

The 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…

数值分析 · 计算机科学 2012-02-28 Kadir Akbudak , Enver Kayaaslan , Cevdet Aykanat

We propose a sparse algebra for samplet compressed kernel matrices, to enable efficient scattered data analysis. We show the compression of kernel matrices by means of samplets produces optimally sparse matrices in a certain S-format. It…

数值分析 · 数学 2023-05-05 H. Harbrecht , M. Multerer , O. Schenk , Ch. Schwab

Sparse linear algebra kernels play a critical role in numerous applications, covering from exascale scientific simulation to large-scale data analytics. Offloading linear algebra kernels on one GPU will no longer be viable in these…

分布式、并行与集群计算 · 计算机科学 2022-09-19 Jieyang Chen , Chenhao Xie , Jesun S Firoz , Jiajia Li , Shuaiwen Leon Song , Kevin Barker , Mark Raugas , Ang Li

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

Graph partitioning schedules parallel calculations like sparse matrix-vector multiply (SpMV). We consider contiguous partitions, where the $m$ rows (or columns) of a sparse matrix with $N$ nonzeros are split into $K$ parts without…

数据结构与算法 · 计算机科学 2024-10-30 Willow Ahrens

Modern large scale machine learning applications require stochastic optimization algorithms to be implemented on distributed computational architectures. A key bottleneck is the communication overhead for exchanging information such as…

机器学习 · 计算机科学 2017-10-31 Jianqiao Wangni , Jialei Wang , Ji Liu , Tong Zhang

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

机器学习 · 计算机科学 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu

Large-scale eigenvalue computations on sparse matrices are a key component of graph analytics techniques based on spectral methods. In such applications, an exhaustive computation of all eigenvalues and eigenvectors is impractical and…

硬件体系结构 · 计算机科学 2021-03-19 Francesco Sgherzi , Alberto Parravicini , Marco Siracusa , Marco Domenico Santambrogio

The next generation of Department of Energy supercomputers will be capable of exascale computation. For these machines, far more computation will be possible than that which can be saved to disk. As a result, users will be unable to rely on…

机器学习 · 计算机科学 2025-07-23 Michael Grosskopf , Kellin Rumsey , Ayan Biswas , Earl Lawrence

This paper addresses matrix approximation problems for matrices that are large, sparse and/or that are representations of large graphs. To tackle these problems, we consider algorithms that are based primarily on coarsening techniques,…

数值分析 · 计算机科学 2018-10-03 Shashanka Ubaru , Yousef Saad

Sketching is widely used in randomized linear algebra for low-rank matrix approximation, column subset selection, and many other problems, and it has gained significant traction in machine learning applications. However, sketching large…

分布式、并行与集群计算 · 计算机科学 2026-03-24 Hussam Al Daas , Grey Ballard , Laura Grigori , Md Taufique Hussain , Suraj Kumar , Mohammad Marufur Rahman , Kathryn Rouse