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We propose a fine-grained hypergraph model for sparse matrix-matrix multiplication (SpGEMM), a key computational kernel in scientific computing and data analysis whose performance is often communication bound. This model correctly describes…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-18 Grey Ballard , Alex Druinsky , Nicholas Knight , Oded Schwartz

Graph Neural Networks (GNNs) have achieved significant improvements in various domains. Sparse Matrix-Matrix multiplication (SpMM) is a fundamental operator in GNNs, which performs a multiplication between a sparse matrix and a dense…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-08 Guyue Huang , Guohao Dai , Yu Wang , Huazhong Yang

Sparse Matrix-Matrix multiplication is a key kernel that has applications in several domains such as scientific computing and graph analysis. Several algorithms have been studied in the past for this foundational kernel. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-10 Mehmet Deveci , Christian Trott , Sivasankaran Rajamanickam

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…

Hardware Architecture · Computer Science 2025-02-18 Tuan Ta , Joshua Randall , Christopher Batten

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…

Performance · Computer Science 2022-10-25 Xiaoyan Liu , Yi Liu , Ming Dun , Bohong Yin , Hailong Yang , Zhongzhi Luan , Depei Qian

Multiplying two sparse matrices (SpGEMM) is a common computational primitive used in many areas including graph algorithms, bioinformatics, algebraic multigrid solvers, and randomized sketching. Distributed-memory parallel algorithms for…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-28 Yuxi Hong , Aydin Buluc

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-01 Shaohuai Shi , Qiang Wang , Xiaowen Chu

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-22 Zhen Du , Jiajia Li , Yinshan Wang , Xueqi Li , Guangming Tan , Ninghui Sun

Computing the product of two sparse matrices (SpGEMM) is a fundamental operation in various combinatorial and graph algorithms as well as various bioinformatics and data analytics applications for computing inner-product similarities. For…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-22 Srđan Milaković , Oguz Selvitopi , Israt Nisa , Zoran Budimlić , Aydin Buluc

Sparse matrix computation is crucial in various modern applications, including large-scale graph analytics, deep learning, and recommender systems. The performance of sparse kernels varies greatly depending on the structure of the input…

Hardware Architecture · Computer Science 2024-07-31 Francesco Sgherzi , Marco Siracusa , Ivan Fernandez , Adrià Armejach , Miquel Moretó

We develop a family of parallel algorithms for the SpKAdd operation that adds a collection of k sparse matrices. SpKAdd is a much needed operation in many applications including distributed memory sparse matrix-matrix multiplication…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-21 Md Taufique Hussain , Guttu Sai Abhishek , Aydin Buluç , Ariful Azad

Fueled by the ability to mine real-world graph data, GNN applications have experienced phenomenal growth. Sparse Matrix-Matrix Multiplication (SpMM) is a critical operator in GNNs. However, existing SpMM designs for GNNs struggle to adapt…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-18 Lixing Zhang , Guanhua Ye , Hongzheng Li , Shigang Li , Yingxia Shao

Sparse data structures are commonly used in neural networks to reduce the memory footprint. These data structures are compact but cause irregularities such as random memory accesses, which prevent efficient use of the memory hierarchy. GPUs…

Programming Languages · Computer Science 2025-06-19 Hossein Albakri , Kazem Cheshmi

Sparse matrix multiplication is an important kernel for large-scale graph processing and other data-intensive applications. In this paper, we implement various asynchronous, RDMA-based sparse times dense (SpMM) and sparse times sparse…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-06 Benjamin Brock , Aydın Buluç , Katherine Yelick

We consider a sparse matrix-matrix multiplication (SpGEMM) setting where one matrix is square and the other is tall and skinny. This special variant, called TS-SpGEMM, has important applications in multi-source breadth-first search,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-23 Isuru Ranawaka , Md Taufique Hussain , Charles Block , Gerasimos Gerogiannis , Josep Torrellas , Ariful Azad

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-10 Genghan Zhang , Yuetong Zhao , Yanting Tao , Zhongming Yu , Guohao Dai , Sitao Huang , Yuan Wen , Pavlos Petoumenos , Yu Wang

Sparse general matrix multiplication (SpGEMM) is a fundamental building block in numerous scientific applications. One critical task of SpGEMM is to compute or predict the structure of the output matrix (i.e., the number of nonzero elements…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-29 Zhaoyang Du , Yijin Guan , Tianchan Guan , Dimin Niu , Nianxiong Tan , Xiaopeng Yu , Hongzhong Zheng , Jianyi Meng , Xiaolang Yan , Yuan Xie

Sparse matrices, more specifically SpGEMM kernels, are commonly found in a wide range of applications, spanning graph-based path-finding to machine learning algorithms (e.g., neural networks). A particular challenge in implementing SpGEMM…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-01 Kaustubh Shivdikar

Sparse matrix-matrix multiplication (or SpGEMM) is a key primitive for many high-performance graph algorithms as well as for some linear solvers, such as algebraic multigrid. The scaling of existing parallel implementations of SpGEMM is…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Ariful Azad , Grey Ballard , Aydin Buluc , James Demmel , Laura Grigori , Oded Schwartz , Sivan Toledo , Samuel Williams

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-14 Mina Ashoury , Mohammad Loni , Farshad Khunjush , Masoud Daneshtalab