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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…

数学软件 · 计算机科学 2016-11-04 Jianyu Huang , Leslie Rice , Devin A. Matthews , Robert A. van de Geijn

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…

分布式、并行与集群计算 · 计算机科学 2023-06-12 Fumiya Kono , Naohito Nakasato , Maho Nakata

General Matrix Multiplication (GEMM) is a critical operation underpinning a wide range of applications in high-performance computing (HPC) and artificial intelligence (AI). The emergence of hardware optimized for low-precision arithmetic…

分布式、并行与集群计算 · 计算机科学 2025-08-21 Qiao Zhang , Rabab Alomairy , Dali Wang , Zhuowei Gu , Qinglei Cao

The generic matrix multiply (GEMM) function is the core element of high-performance linear algebra libraries used in many computationally-demanding digital signal processing (DSP) systems. We propose an acceleration technique for GEMM based…

数学软件 · 计算机科学 2015-05-30 Davide Anastasia , Yiannis Andreopoulos

General matrix/matrix multiplication (GEMM) is crucial for scientific computing and machine learning. However, the increased scale of the computing platforms raises concerns about hardware and software reliability. In this poster, we…

分布式、并行与集群计算 · 计算机科学 2023-05-10 Shixun Wu , Yujia Zhai , Jiajun Huang , Zizhe Jian , Zizhong Chen

General Matrix Multiplication (GEMM) is a crucial algorithm for various applications such as machine learning and scientific computing, and an efficient GEMM implementation is essential for the performance of these systems. While…

分布式、并行与集群计算 · 计算机科学 2023-05-03 Shixun Wu , Yujia Zhai , Jinyang Liu , Jiajun Huang , Zizhe Jian , Bryan M. Wong , Zizhong Chen

FPGAs are a promising platform for accelerating Deep Learning (DL) applications, due to their high performance, low power consumption, and reconfigurability. Recently, the leading FPGA vendors have enhanced their architectures to more…

硬件体系结构 · 计算机科学 2024-04-18 Endri Taka , Dimitrios Gourounas , Andreas Gerstlauer , Diana Marculescu , Aman Arora

General Matrix Multiplication (GEMM) is a critical kernel in high-performance computing and deep learning. While modern architectures like ARM's Scalable Matrix Extension (SME) introduce dedicated hardware for matrix operations, existing…

分布式、并行与集群计算 · 计算机科学 2025-12-29 Chencheng Deng , Weiling Yang , Jianbin Fang , Dezun Dong

Recent architectures integrate high-performance and power-efficient matrix engines. These engines demonstrate remarkable performance in low-precision matrix multiplication, which is crucial in deep learning. Several techniques have been…

分布式、并行与集群计算 · 计算机科学 2025-11-13 Yuki Uchino , Katsuhisa Ozaki , Toshiyuki Imamura

GEneral Matrix Multiply (GEMM) is a central operation in deep learning and corresponds to the largest chunk of the compute footprint. Therefore, improving its efficiency is an active topic of ongoing research. A popular strategy is the use…

机器学习 · 计算机科学 2024-03-13 Zhanpeng Zeng , Karthikeyan Sankaralingam , Vikas Singh

The GEneral Matrix Multiplication (GEMM) is one of the essential algorithms in scientific computing. Single-thread GEMM implementations are well-optimised with techniques like blocking and autotuning. However, due to the complexity of…

分布式、并行与集群计算 · 计算机科学 2026-01-15 Yufan Xia , Marco De La Pierre , Amanda S. Barnard , Giuseppe Maria Junior Barca

The devices designed for the Internet-of-Things encompass a large variety of distinct processor architectures, forming a highly heterogeneous zoo. In order to tackle this, we employ a simulator to estimate the performance of the…

硬件体系结构 · 计算机科学 2024-03-13 Cristian Ramírez , Adrián Castelló , Héctor Martínez , Enrique S. Quintana-Ortí

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…

数学软件 · 计算机科学 2013-04-29 Chetan Jhurani , Paul Mullowney

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…

硬件体系结构 · 计算机科学 2020-12-02 Benjamin Y. Cho , Jeageun Jung , Mattan Erez

General Matrix Multiplication (GEMM) is the cornerstone of HPC workloads and Deep Learning. State-of-the-art vendor libraries tune tensor layouts, parallelization schemes, and cache blocking to minimize data movement across the memory…

分布式、并行与集群计算 · 计算机科学 2026-04-09 Evangelos Georganas , Alexander Heinecke , Pradeep Dubey

General Matrix Multiplication or GEMM kernels take centre place in high performance computing and machine learning. Recent NVIDIA GPUs include GEMM accelerators, such as NVIDIA's Tensor Cores. Their exploitation is hampered by the…

数学软件 · 计算机科学 2021-11-23 Thomas Faingnaert , Tim Besard , Bjorn De Sutter

Sparse Ternary General Matrix-Matrix Multiplication (GEMM) remains under-optimized in existing libraries for Apple Silicon CPUs. We present a Sparse Ternary GEMM kernel optimized specifically for Apple's M-series processors. We propose a…

性能 · 计算机科学 2025-10-15 Baraq Lipshitz , Alessio Melone , Charalampos Maraziaris , Muhammed Bilal

General matrix-matrix multiplication (GEMM) is a cornerstone of AI computations, making tensor processing engines (TPEs) increasingly critical in GPUs and domain-specific architectures. Existing architectures primarily optimize dataflow or…

硬件体系结构 · 计算机科学 2025-03-11 Qizhe Wu , Huawen Liang , Yuchen Gui , Zhichen Zeng , Zerong He , Linfeng Tao , Xiaotian Wang , Letian Zhao , Zhaoxi Zeng , Wei Yuan , Wei Wu , Xi Jin

General-purpose processor vendors have integrated customized accelerator in their products due to the widespread use of General Matrix-Matrix Multiplication (GEMM) kernels. However, it remains a challenge to further improve the…

硬件体系结构 · 计算机科学 2024-05-01 Bingcai Sui , Junzhong Shen , Caixia Sun , Junhui Wang , Zhong Zheng , Wei Guo

Many scientific computing problems can be reduced to Matrix-Matrix Multiplications (MMM), making the General Matrix Multiply (GEMM) kernels in the Basic Linear Algebra Subroutine (BLAS) of interest to the high-performance computing…

硬件体系结构 · 计算机科学 2023-05-31 Louis Ledoux , Marc Casas
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