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Although the matrix multiplication plays a vital role in computational linear algebra, there are few efficient solutions for matrix multiplication of the near-sparse matrices. The Sparse Approximate Matrix Multiply (SpAMM) is one of the…

性能 · 计算机科学 2022-10-25 Xiaoyan Liu , Yi Liu , Ming Dun , Bohong Yin , Hailong Yang , Zhongzhi Luan , Depei Qian

We present scalable distributed-memory algorithms for sparse matrix permutation, extraction, and assignment. Our methods follow an Identify-Exchange-Build (IEB) strategy where each process identifies the local nonzeros to be sent, exchanges…

分布式、并行与集群计算 · 计算机科学 2025-09-26 Elaheh Hassani , Md Taufique Hussain , Ariful Azad

The graph partitioning problem has many applications in scientific computing such as computer aided design, data mining, image compression and other applications with sparse-matrix vector multiplications as a kernel operation. In many cases…

数据结构与算法 · 计算机科学 2016-01-08 Foad Lotfifar , Matthew Johnson

We present an optimized single-precision implementation of the Sparse Approximate Matrix Multiply (\SpAMM{}) [M. Challacombe and N. Bock, arXiv {\bf 1011.3534} (2010)], a fast algorithm for matrix-matrix multiplication for matrices with…

数值分析 · 计算机科学 2012-09-05 Nicolas Bock , Matt Challacombe

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

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

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

Recent research highlights frequent model communication as a significant bottleneck to the efficiency of decentralized machine learning (ML), especially for large-scale and over-parameterized neural networks (NNs). To address this, we…

机器学习 · 计算机科学 2024-06-07 Andrew Campbell , Hang Liu , Leah Woldemariam , Anna Scaglione

Diffusion kernels over graphs have been widely utilized as effective tools in various applications due to their ability to accurately model the flow of information through nodes and edges. However, there is a notable gap in the literature…

数值分析 · 数学 2026-04-15 Giuseppe Alessio D'Inverno , Kylian Ajavon , Simone Brugiapaglia

Deep learning demonstrates effectiveness across a wide range of tasks. However, the dense and over-parameterized nature of these models results in significant resource consumption during deployment. In response to this issue, weight…

分布式、并行与集群计算 · 计算机科学 2025-03-05 Cong Ma , Du Wu , Zhelang Deng , Jiang Chen , Xiaowen Huang , Jintao Meng , Wenxi Zhu , Bingqiang Wang , Amelie Chi Zhou , Peng Chen , Minwen Deng , Yanjie Wei , Shengzhong Feng , Yi Pan

HipMCL is a high-performance distributed memory implementation of the popular Markov Cluster Algorithm (MCL) and can cluster large-scale networks within hours using a few thousand CPU-equipped nodes. It relies on sparse matrix computations…

分布式、并行与集群计算 · 计算机科学 2020-02-26 Oguz Selvitopi , Md Taufique Hussain , Ariful Azad , Aydın Buluç

Many problems in scientific and engineering applications contain sparse matrices or graphs as main input objects, e.g. numerical simulations on meshes. Large inputs are abundant these days and require parallel processing for memory size and…

分布式、并行与集群计算 · 计算机科学 2020-11-23 Charilaos Tzovas , Maria Predari , Henning Meyerhenke

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

Accelerators for sparse matrix multiplication are important components in emerging systems. In this paper, we study the main challenges of accelerating Sparse Matrix Multiplication (SpMM). For the situations that data is not stored in the…

硬件体系结构 · 计算机科学 2019-06-04 Pareesa Ameneh Golnari , Sharad Malik

Graph similarity computation aims to predict a similarity score between one pair of graphs to facilitate downstream applications, such as finding the most similar chemical compounds similar to a query compound or Fewshot 3D Action…

机器学习 · 计算机科学 2021-01-06 Haoyan Xu , Ziheng Duan , Jie Feng , Runjian Chen , Qianru Zhang , Zhongbin Xu , Yueyang Wang

Sparse matrix-vector multiplication (SpMV) is a central building block for scientific software and graph applications. Recently, heterogeneous processors composed of different types of cores attracted much attention because of their…

数学软件 · 计算机科学 2015-09-15 Weifeng Liu , Brian Vinter

Distributed computing excels at processing large scale data, but the communication cost for synchronizing the shared parameters may slow down the overall performance. Fortunately, the interactions between parameter and data in many problems…

分布式、并行与集群计算 · 计算机科学 2015-05-19 Mu Li , Dave G. Andersen , Alexander J. Smola

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

Generative graph models struggle to scale due to the need to predict the existence or type of edges between all node pairs. To address the resulting quadratic complexity, existing scalable models often impose restrictive assumptions such as…

机器学习 · 计算机科学 2024-05-24 Yiming Qin , Clement Vignac , Pascal Frossard

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