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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…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-26 Ariful Azad , Aydin Buluc

Matrix factorization (MF) is employed by many popular algorithms, e.g., collaborative filtering. The emerging GPU technology, with massively multicore and high intra-chip memory bandwidth but limited memory capacity, presents an opportunity…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-25 Wei Tan , Liangliang Cao , Liana Fong

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-15 Guyue Huang , Guohao Dai , Yu Wang , Yufei Ding , Yuan Xie

This work focuses on accelerating the multiplication of a dense random matrix with a (fixed) sparse matrix, which is frequently used in sketching algorithms. We develop a novel scheme that takes advantage of blocking and recomputation…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Tianyu Liang , Riley Murray , Aydın Buluç , James Demmel

General sparse matrix-matrix multiplication (SpGEMM) is an integral part of many scientific computing, high-performance computing (HPC), and graph analytic applications. This paper presents a new compressed sparse vector (CSV) format for…

Performance · Computer Science 2021-12-21 Erfan Bank Tavakoli , Michael Riera , Masudul Hassan Quraishi , Fengbo Ren

Recently, graphics processors (GPUs) have been increasingly leveraged in a variety of scientific computing applications. However, architectural differences between CPUs and GPUs necessitate the development of algorithms that take advantage…

Mathematical Software · Computer Science 2015-01-05 Jonathan Wong , Ellen Kuhl , Eric Darve

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

High-performance sparse matrix-matrix (SpMM) multiplication is paramount for science and industry, as the ever-increasing sizes of data prohibit using dense data structures. Yet, existing hardware, such as Tensor Cores (TC), is ill-suited…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-22 Patrik Okanovic , Grzegorz Kwasniewski , Paolo Sylos Labini , Maciej Besta , Flavio Vella , Torsten Hoefler

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

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-11 Aiying Li , Jingwei Sun , Han Li , Wence Ji , Guangzhong Sun

In this work, we optimize speculative sampling for parallel hardware accelerators to improve sampling speed. We notice that substantial portions of the intermediate matrices necessary for speculative sampling can be computed concurrently.…

Machine Learning · Computer Science 2024-10-04 Dominik Wagner , Seanie Lee , Ilja Baumann , Philipp Seeberger , Korbinian Riedhammer , Tobias Bocklet

Sparse matrix-matrix multiplication (SpGEMM) is a widely used kernel in various graph, scientific computing and machine learning algorithms. It is well known that SpGEMM is a memory-bound operation, and its peak performance is expected to…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-27 Zhixiang Gu , Jose Moreira , David Edelsohn , Ariful Azad

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

The approximate minimum degree algorithm is widely used before numerical factorization to reduce fill-in for sparse matrices. While considerable attention has been given to the numerical factorization process, less focus has been placed on…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Yen-Hsiang Chang , Aydın Buluç , James Demmel

This paper describes REAP, a software-hardware approach that enables high performance sparse linear algebra computations on a cooperative CPU-FPGA platform. REAP carefully separates the task of organizing the matrix elements from the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-30 Mohammadreza Soltaniyeh , Richard P. Martin , Santosh Nagarakatte

Scaling up the sparse matrix-vector multiplication kernel on modern Graphics Processing Units (GPU) has been at the heart of numerous studies in both academia and industry. In this article we present a novel non-parametric, self-tunable,…

Numerical Analysis · Computer Science 2012-12-24 Xintian Yang , Srinivasan Parthasarathy , Ponnuswamy Sadayappan

This paper introduces the Bi-linear consensus Alternating Direction Method of Multipliers (Bi-cADMM), aimed at solving large-scale regularized Sparse Machine Learning (SML) problems defined over a network of computational nodes.…

Machine Learning · Computer Science 2024-06-27 Alireza Olama , Andreas Lundell , Jan Kronqvist , Elham Ahmadi , Eduardo Camponogara

In recent years, novel AI accelerators have emerged as promising alternatives to GPU for AI model training and inference tasks. One such accelerator, the Cerebras CS-3, achieves strong performance on large model training as well as…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-01 Milan Shah , Sheng Di , Michela Becchi

Sparse matrix multiplication is traditionally performed in memory and scales to large matrices using the distributed memory of multiple nodes. In contrast, we scale sparse matrix multiplication beyond memory capacity by implementing sparse…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-15 Da Zheng , Disa Mhembere , Vince Lyzinski , Joshua Vogelstein , Carey E. Priebe , Randal Burns

The acceleration of sparse matrix computations on modern many-core processors, such as the graphics processing units (GPUs), has been recognized and studied over a decade. Significant performance enhancements have been achieved for many…

Mathematical Software · Computer Science 2017-10-16 Ruipeng Li