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We present an interface and an implementation of the General Matrix Multiply (GEMM) routine for multiple small matrices processed simultaneously on NVIDIA graphics processing units (GPUs). We focus on matrix sizes under 16. The…

Mathematical Software · Computer Science 2013-04-29 Chetan Jhurani , Paul Mullowney

Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental operation in graph computing and analytics. However, the irregularity of real-world graphs poses significant challenges to achieving efficient SpMM operation for graph data on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-13 Zhonggen Li , Xiangyu Ke , Yifan Zhu , Yunjun Gao , Yaofeng Tu

The remarkable positive impact of Deep Neural Networks on many Artificial Intelligence (AI) tasks has led to the development of various high performance algorithms as well as specialized processors and accelerators. In this paper we address…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-16 Jie Lei , José Flich , Enrique S. Quintana-Ortí

Matrix multiplication (GEMM) is a core operation to numerous scientific applications. Traditional implementations of Strassen-like fast matrix multiplication (FMM) algorithms often do not perform well except for very large matrix sizes, due…

Mathematical Software · Computer Science 2016-11-04 Jianyu Huang , Leslie Rice , Devin A. Matthews , Robert A. van de Geijn

Efficient execution of deep learning workloads on dataflow architectures is crucial for overcoming memory bottlenecks and maximizing performance. While streaming intermediate results between computation kernels can significantly improve…

Hardware Architecture · Computer Science 2025-09-24 Hanchen Ye , Deming Chen

Stream analytics have an insatiable demand for memory and performance. Emerging hybrid memories combine commodity DDR4 DRAM with 3D-stacked High Bandwidth Memory (HBM) DRAM to meet such demands. However, achieving this promise is…

Databases · Computer Science 2019-01-29 Hongyu Miao , Myeongjae Jeon , Gennady Pekhimenko , Kathryn S. McKinley , Felix Xiaozhu Lin

Graph Neural Networks (GNNs) are powerful tools for learning graph-structured data, but their scalability is hindered by inefficient mini-batch generation, data transfer bottlenecks, and costly inter-GPU synchronization. Existing training…

Machine Learning · Computer Science 2026-01-09 Irfan Ullah , Young-Koo Lee

This paper advocates for an intertwined design of the dense linear algebra software stack that breaks down the strict barriers between the high-level, blocked algorithms in LAPACK (Linear Algebra PACKage) and the low-level,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-01 Héctor Martínez , Sandra Catalán , Francisco D. Igual , José R. Herrero , Rafael Rodríguez-Sánchez , Enrique S. Quintana-Ortí

Graphics processors, or GPUs, have recently been widely used as accelerators in the shared environments such as clusters and clouds. In such shared environments, many kernels are submitted to GPUs from different users, and throughput is an…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-03-22 Jianlong Zhong , Bingsheng He

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

The generic matrix-matrix multiplication (GEMM) is arguably the most popular computational kernel of the 20th century. Yet, surprisingly, no common methodology for evaluating GEMM performance has been established over the many decades of…

Mathematical Software · Computer Science 2015-11-19 Anton Lokhmotov

General Matrix Multiplication (GEMM) is a fundamental operation widely used in scientific computations. Its performance and accuracy significantly impact the performance and accuracy of applications that depend on it. One such application…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-12 Fumiya Kono , Naohito Nakasato , Maho Nakata

One of the most important and commonly used operations in many linear algebra functions is matrix-matrix multiplication (GEMM), which is also a key component in obtaining high performance of many scientific codes. It is a computationally…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-18 Nenad Mijić , Davor Davidović

Developing kernels for Processing-In-Memory (PIM) platforms poses unique challenges in data management and parallel programming on limited processing units. Although software development kits (SDKs) for PIM, such as the UPMEM SDK, provide…

Hardware Architecture · Computer Science 2025-10-21 Krystian Chmielewski , Jarosław Ławnicki , Uladzislau Lukyanau , Tadeusz Kobus , Maciej Maciejewski

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

Approximate Membership Query (AMQ) structures are essential for high-throughput systems in databases, networking, and bioinformatics. While Bloom filters offer speed, they lack support for deletions. Existing GPU-based dynamic alternatives,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-17 Tim Dortmann , Markus Vieth , Bertil Schmidt

In the acceleration of deep neural network training, the GPU has become the mainstream platform. GPUs face substantial challenges on GNNs, such as workload imbalance and memory access irregularities, leading to underutilized hardware.…

Machine Learning · Computer Science 2024-03-20 Hongwu Peng , Xi Xie , Kaustubh Shivdikar , MD Amit Hasan , Jiahui Zhao , Shaoyi Huang , Omer Khan , David Kaeli , Caiwen Ding

DL inference queries play an important role in diverse internet services and a large fraction of datacenter cycles are spent on processing DL inference queries. Specifically, the matrix-matrix multiplication (GEMM) operations of…

Hardware Architecture · Computer Science 2020-12-02 Benjamin Y. Cho , Jeageun Jung , Mattan Erez

In computational science and data analytics, many workloads involve irregular and sparse computations that are inherently difficult to optimize for modern hardware. A key kernel is Sparse General Matrix-Matrix Multiplication (SpGEMM), which…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-22 Yifan Li , Giulia Guidi

Sparse General Matrix-Matrix Multiplication (SpGEMM) is a fundamental operation in numerous scientific computing and data analytics applications, often bottlenecked by irregular memory access patterns. This paper presents Hash based…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-16 Shiju Li , Younghoon Min , Hane Yie , Hoshik Kim , Soohong Ahn , Joonseop Sim , Chul-Ho Lee , Jongryool Kim