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Generalized sparse matrix-matrix multiplication is a key primitive for many high performance graph algorithms as well as some linear solvers such as multigrid. We present the first parallel algorithms that achieve increasing speedups for an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-09 Aydın Buluç , John R. Gilbert

A low-latency and energy-efficient tensor algebra accelerator design must optimize how data movement and operations are scheduled (i.e., mapped) in the accelerator architecture. A key mapping optimization is fusion, meaning holding data…

Hardware Architecture · Computer Science 2026-05-05 Tanner Andrulis , Michael Gilbert , Vivienne Sze , Joel S. Emer

Achieving high efficiency with numerical kernels for sparse matrices is of utmost importance, since they are part of many simulation codes and tend to use most of the available compute time and resources. In addition, especially in large…

Performance · Computer Science 2013-05-07 Tobias Scharpff , Klaus Iglberger , Georg Hager , Ulrich Ruede

Many recent GPUs feature matrix multiplication engines (aka Tensor Core Units or TCUs) that perform small fixed-size matrix-matrix products at very high throughput. They have been used very effectively to speed up dense matrix-matrix…

Performance · Computer Science 2025-11-25 Lizhi Xiang , Omid Asudeh , Gerald Sabin , Aravind Sukumaran-Rajam , P. Sadayappan

We propose Rosko -- row skipping outer products -- for deriving sparse matrix multiplication (SpMM) kernels in reducing computation and memory access requirements of deep neural networks (DNNs). Rosko allows skipping of entire row…

Machine Learning · Computer Science 2023-07-11 Vikas Natesh , Andrew Sabot , H. T. Kung , Mark Ting

Computationally intensive Inference tasks of Deep neural networks have enforced revolution of new accelerator architecture to reduce power consumption as well as latency. The key figure of merit in hardware inference accelerators is the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-11 Hyunbin Park , Dohyun Kim , Shiho Kim

Matrix multiplication is the bedrock in Deep Learning inference application. When it comes to hardware acceleration on edge computing devices, matrix multiplication often takes up a great majority of the time. To achieve better performance…

Machine Learning · Computer Science 2021-10-12 Yuyang Zhang , Dik Hin Leung , Min Guo , Yijia Xiao , Haoyue Liu , Yunfei Li , Jiyuan Zhang , Guan Wang , Zhen Chen

Matrix computations are a fundamental building-block of edge computing systems, with a major recent uptick in demand due to their use in AI/ML training and inference procedures. Existing approaches for distributing matrix computations…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-12 Anindya Bijoy Das , Aditya Ramamoorthy , David J. Love , Christopher G. Brinton

The computation of a matrix function $f(A)$ is an important task in scientific computing appearing in machine learning, network analysis and the solution of partial differential equations. In this work, we use only matrix-vector products…

Numerical Analysis · Mathematics 2026-03-03 Taejun Park , Yuji Nakatsukasa

This paper studies a high-dimensional inference problem involving the matrix tensor product of random matrices. This problem generalizes a number of contemporary data science problems including the spiked matrix models used in sparse…

Information Theory · Computer Science 2020-12-18 Galen Reeves

Tensor computations, with matrix multiplication being the primary operation, serve as the fundamental basis for data analysis, physics, machine learning, and deep learning. As the scale and complexity of data continue to grow rapidly, the…

Hardware Architecture · Computer Science 2024-10-24 Qizhe Wu , Yuchen Gui , Zhichen Zeng , Xiaotian Wang , Huawen Liang , Xi Jin

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

Sparse tensors are the most used representation of sparse multidimensional data. Operations that decompose them, selecting their most important features while reducing their dimension, have become prevalent procedures in machine learning.…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-29 Daniel Pacheco , Leonel Sousa , Aleksandar Ilic

In this paper, we investigate the recovery of a sparse weight vector (parameters vector) from a set of noisy linear combinations. However, only partial information about the matrix representing the linear combinations is available. Assuming…

Machine Learning · Computer Science 2016-11-18 Ashkan Esmaeili , Arash Amini , Farokh Marvasti

Sparse matrix-vector products (SpMVs) are a bottleneck in many scientific codes. Due to the heavy strain on the main memory interface from loading the sparse matrix and the possibly irregular memory access pattern, SpMV typically exhibits…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-12 Dane C. Lacey , Christie L. Alappat , Florian Lange , Georg Hager , Holger Fehske , Gerhard Wellein

This paper proposes a new hardware accelerator for sparse convolutional neural networks (CNNs) by building a hardware unit to perform the Image to Column (IM2COL) transformation of the input feature map coupled with a systolic array-based…

Hardware Architecture · Computer Science 2021-11-29 Mohammadreza Soltaniyeh , Richard P. Martin , Santosh Nagarakatte

Network pruning can reduce the computation cost of deep neural network (DNN) models. However, sparse models often produce randomly-distributed weights to maintain accuracy, leading to irregular computations. Consequently, unstructured…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-19 Cong Guo , Fengchen Xue , Jingwen Leng , Yuxian Qiu , Yue Guan , Weihao Cui , Quan Chen , Minyi Guo

In deep learning inference, model parameters are pruned and quantized to reduce the model size. Compression methods and common subexpression (CSE) elimination algorithms are applied on sparse constant matrices to deploy the models on…

Machine Learning · Computer Science 2023-03-29 Emre Bilgili , Arda Yurdakul

Matrix-multiply-accumulate (MMA) units, or tensor cores, are now widespread across modern computing architectures. Yet, their use for particle-grid operators remains limited. In implicit particle methods, mass-matrix assembly is a…

Computational Engineering, Finance, and Science · Computer Science 2026-04-22 Luca Pennati , Stefano Markidis

Matrix Product State (MPS) is a versatile tensor network representation widely applied in quantum physics, quantum chemistry, and machine learning, etc. MPS sampling serves as a critical fundamental operation in these fields. As the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-24 Yaojian Chen , Si-Qiu Gong , Lin Gan , Yanfei Liu , An Yang , Yinuo Wang , Chao-yang Lu , Guangwen Yang
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