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Graph neural networks (GNNs) are emerging as a powerful technique for modeling graph structures. Due to the sparsity of real-world graph data, GNN performance is limited by extensive sparse matrix multiplication (SpMM) operations involved…

Machine Learning · Computer Science 2021-11-02 Shenghao Qiu , You Liang , Zheng Wang

This paper shows how to build a sparse tensor algebra compiler that is agnostic to tensor formats (data layouts). We develop an interface that describes formats in terms of their capabilities and properties, and show how to build a modular…

Mathematical Software · Computer Science 2018-11-13 Stephen Chou , Fredrik Kjolstad , Saman Amarasinghe

It is a challenging task to deploy computationally and memory intensive State-of-the-art deep neural networks (DNNs) on embedded systems with limited hardware resources and power budgets. Recently developed techniques like Deep Compression…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Yuechao Gao , Nianhong Liu , Sheng Zhang

Registers are the fastest memory components within the GPU's complex memory hierarchy, accessed by names rather than addresses. They are managed entirely by the compiler through a process called register allocation, during which the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-28 Deniz Elbek , Kamer Kaya

In this paper, we propose a new coded computing technique called "substitute decoding" for general iterative distributed computation tasks. In the first part of the paper, we use PageRank as a simple example to show that substitute decoding…

Information Theory · Computer Science 2018-05-17 Yaoqing Yang , Malhar Chaudhari , Pulkit Grover , Soummya Kar

In classification problems with large output spaces (up to millions of labels), the last layer can require an enormous amount of memory. Using sparse connectivity would drastically reduce the memory requirements, but as we show below, it…

Machine Learning · Computer Science 2023-11-08 Erik Schultheis , Rohit Babbar

The parallel algorithm for loading large sparse matrices from files into distributed memories of high performance computing (HPC) systems is presented. This algorithm was designed specially for matrices stored in files in the space-effcient…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-30 Daniel Langr , Ivan Šimeček , Pavel Tvrdík

Sparse matrix-vector multiplication (SpMV) is a fundamental operation with a wide range of applications in scientific computing and artificial intelligence. However, the large scale and sparsity of sparse matrix often make it a performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-15 Chen Yan , Boyu Diao , Hangda Liu , Zhulin An , Yongjun Xu

We describe the GPU implementation of shifted or multimass iterative solvers for sparse linear systems of the sort encountered in lattice gauge theory. We provide a generic tool that can be used by those without GPU programming experience…

High Energy Physics - Lattice · Physics 2011-02-16 Richard Galvez , Greg van Anders

Sparse matrices and tensors are ubiquitous throughout multiple subfields of computing. The widespread usage of sparse data has inspired many in-memory and on-disk storage formats, but the only widely adopted storage specifications are the…

Mathematical Software · Computer Science 2025-06-25 Benjamin Brock , Willow Ahrens , Hameer Abbasi , Timothy A. Davis , Juni Kim , James Kitchen , Spencer Patty , Isaac Virshup , Erik Welch

Sparsity, which occurs in both scientific applications and Deep Learning (DL) models, has been a key target of optimization within recent ASIC accelerators due to the potential memory and compute savings. These applications use data stored…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-22 Eric Qin , Geonhwa Jeong , William Won , Sheng-Chun Kao , Hyoukjun Kwon , Sudarshan Srinivasan , Dipankar Das , Gordon E. Moon , Sivasankaran Rajamanickam , Tushar Krishna

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…

Performance · Computer Science 2026-03-03 Emil Schätzle , Tommaso Pegolotti , Markus Püschel

In this work, we study several variants of matrix reduction via Gaussian elimination that try to keep the reduced matrix sparse. The motivation comes from the growing field of topological data analysis where matrix reduction is the major…

Computational Geometry · Computer Science 2024-06-14 Ulrich Bauer , Talha Bin Masood , Barbara Giunti , Guillaume Houry , Michael Kerber , Abhishek Rathod

Most, if not all the modern scientific simulation packages utilize matrix algebra operations. Among the operation of the linear algebra, one of the most important kernels is the multiplication of matrices, dense and sparse. Examples of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-14 Ilia Sivkov , Alfio Lazzaro , Juerg Hutter

Sparse matrix multiplication operators (i.e., SpMM and SDDMM) are widely used in deep learning and scientific computing. Modern accelerators are commonly equipped with Tensor Core Units (TCUs) and CUDA cores to accelerate sparse operators.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-23 Jinliang Shi , Shigang Li , Youxuan Xu , Xueying Wang , Rongtian Fu , Zhi Ma , Tong Wu

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…

Hardware Architecture · Computer Science 2019-06-04 Pareesa Ameneh Golnari , Sharad Malik

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,…

Performance · Computer Science 2016-08-03 Max Grossman , Christopher Thiele , Mauricio Araya-Polo , Florian Frank , Faruk O. Alpak , Vivek Sarkar

Reducing memory traffic is critical to accelerate Lattice QCD computations on modern processors, given that such computations are memory-bandwidth bound. A commonly used strategy is mixed-precision solvers, however, these require careful…

High Energy Physics - Lattice · Physics 2023-02-21 M. A. Clark , Dean Howarth , Jiqun Tu , Mathias Wagner , Evan Weinberg

This paper addresses spatial programming of sparse matrix computations for productive performance. The challenge is how to express an irregular computation and its optimizations in a regular way. A sparse matrix has (non-zero) values and a…

Mathematical Software · Computer Science 2018-10-18 Hongbo Rong

Sparse matrix-vector multiplication (spMVM) is the most time-consuming kernel in many numerical algorithms and has been studied extensively on all modern processor and accelerator architectures. However, the optimal sparse matrix data…

Mathematical Software · Computer Science 2014-10-21 Moritz Kreutzer , Georg Hager , Gerhard Wellein , Holger Fehske , Alan R. Bishop