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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…

Hardware Architecture · Computer Science 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

The optimization of the matrix multiplication (or GEMM) has been a need during the last decades. This operation is considered the flagship of current linear algebra libraries such as BLIS, OpenBLAS, or Intel OneAPI because of its widespread…

Mathematical Software · Computer Science 2023-10-30 Adrián Castelló , Julian Bellavita , Grace Dinh , Yuka Ikarashi , Héctor Martínez

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…

Mathematical Software · Computer Science 2015-05-30 Davide Anastasia , Yiannis Andreopoulos

Recent advances in self-supervised learning and the Transformer architecture have significantly improved natural language processing (NLP), achieving remarkably low perplexity. However, the growing size of NLP models introduces a memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-02 Gunho Park , Baeseong Park , Minsub Kim , Sungjae Lee , Jeonghoon Kim , Beomseok Kwon , Se Jung Kwon , Byeongwook Kim , Youngjoo Lee , Dongsoo Lee

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

Sparse General Matrix Multiply (SpGEMM) is key for various High-Performance Computing (HPC) applications such as genomics and graph analytics. Using the semiring abstraction, many algorithms can be formulated as SpGEMM, allowing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-23 Thomas McFarland , Julian Bellavita , Giulia Guidi

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…

Hardware Architecture · Computer Science 2024-05-01 Bingcai Sui , Junzhong Shen , Caixia Sun , Junhui Wang , Zhong Zheng , Wei Guo

General matrix-matrix multiplication (GEMM) is a fundamental operation in machine learning (ML) applications. We present the first comprehensive performance acceleration of GEMM workloads on AMD's second-generation AIE-ML (AIE2)…

Hardware Architecture · Computer Science 2025-09-01 Kaustubh Mhatre , Endri Taka , Aman Arora

Edge deployment of low-batch large language models (LLMs) faces critical memory bandwidth bottlenecks when executing memory-intensive general matrix-vector multiplications (GEMV) operations. While digital processing-in-memory (PIM)…

Hardware Architecture · Computer Science 2026-01-21 Ye Lin , Chao Fang , Xiaoyong Song , Qi Wu , Anying Jiang , Yichuan Bai , Li Du

Weight-only quantization is widely used to mitigate the memory-bound nature of LLM inference. Codebook-based methods extend this trend by achieving strong accuracy in the extremely low-bit regime (e.g., 2-bit). However, current kernels rely…

Machine Learning · Computer Science 2025-12-23 Gunho Park , Jeongin Bae , Byeongwook Kim , Baeseong park , Jiwon Ryu , Hoseung Kim , Se Jung Kwon , Dongsoo Lee

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-21 Qiao Zhang , Rabab Alomairy , Dali Wang , Zhuowei Gu , Qinglei Cao

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

General matrix multiplication (GEMM) operations are the fundamental building blocks of computational domains including artificial intelligence (AI). As GPU architectures evolve and high-performance AI becomes increasingly important,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-26 Harisankar Sadasivan , Muhammed Emin Ozturk , Muhammad Osama , Chris Millette , Astha Rai , Maksim Podkorytov , John Afaganis , Carlus Huang , Jing Zhang , Jun Liu

Large matrix multiplication is a cornerstone of modern machine learning workloads, yet traditional approaches suffer from cubic computational complexity (e.g., $\mathcal{O}(n^3)$ for a matrix of size $n\times n$). We present Low-Rank GEMM,…

Performance · Computer Science 2025-11-25 Alfredo Metere

Weight-only quantization has been widely explored in large language models (LLMs) to reduce memory storage and data loading overhead. During deployment on single-instruction-multiple-threads (SIMT) architectures, weights are stored in…

Hardware Architecture · Computer Science 2025-02-27 Ruokai Yin , Yuhang Li , Priyadarshini Panda

Peak breaking Matrix Multiplication is a promising technique to improve the performance of DL, especially in LLM training and inference. We present FalconGEMM, a cross-platform framework that automates the deployment, optimization, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-13 Honglin Zhu , Jiaping Cao , Jiang Shao , Siyuan Feng , Qian Qiu , Peng Chen , Xu Zhang , Yixian Zhou , Man Lung Yiu , Guang Ji , Minwen Deng , Wenxi Zhu , Jintao Meng

General matrix-vector multiplication (GeMV) remains a critical latency bottleneck in large language model (LLM) inference, even with quantized low-bit models. Processing-Using-DRAM (PUD), an analog in-DRAM computing technique, has the…

Hardware Architecture · Computer Science 2025-09-24 Tatsuya Kubo , Daichi Tokuda , Tomoya Nagatani , Masayuki Usui , Lei Qu , Ting Cao , Shinya Takamaeda-Yamazaki

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

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

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…

Hardware Architecture · Computer Science 2024-03-13 Cristian Ramírez , Adrián Castelló , Héctor Martínez , Enrique S. Quintana-Ortí