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There is a growing interest in custom spatial accelerators for machine learning applications. These accelerators employ a spatial array of processing elements (PEs) interacting via custom buffer hierarchies and networks-on-chip. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-22 Gordon E. Moon , Hyoukjun Kwon , Geonhwa Jeong , Prasanth Chatarasi , Sivasankaran Rajamanickam , Tushar Krishna

General matrix multiplication (GEMM) is a ubiquitous computing kernel/algorithm for data processing in diverse applications, including artificial intelligence (AI) and deep learning (DL). Recent shift towards edge computing has inspired…

Hardware Architecture · Computer Science 2024-12-25 Harideep Nair , Prabhu Vellaisamy , Albert Chen , Joseph Finn , Anna Li , Manav Trivedi , John Paul Shen

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

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

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

We present "GEMM-like Tensor-Tensor multiplication" (GETT), a novel approach to tensor contractions that mirrors the design of a high-performance general matrix-matrix multiplication (GEMM). The critical insight behind GETT is the…

Mathematical Software · Computer Science 2017-11-08 Paul Springer , Paolo Bientinesi

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-15 Yufan Xia , Marco De La Pierre , Amanda S. Barnard , Giuseppe Maria Junior Barca

General Matrix Multiplication (GEMM) is a fundamental operation in many scientific workloads, signal processing, and particularly deep learning. It is often a bottleneck for performance and energy efficiency, especially in edge environments…

Hardware Architecture · Computer Science 2025-11-11 Ilias Papalamprou , Dimosthenis Masouros , Ioannis Loudaros , Francky Catthoor , Dimitrios Soudris

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-29 Chencheng Deng , Weiling Yang , Jianbin Fang , Dezun Dong

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…

Performance · Computer Science 2025-10-15 Baraq Lipshitz , Alessio Melone , Charalampos Maraziaris , Muhammed Bilal

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

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

General Matrix Multiplication (GEMM) is a ubiquitous compute kernel in deep learning (DL). To support energy-efficient edge-native processing, new GEMM hardware units have been proposed that operate on unary encoded bitstreams using much…

Hardware Architecture · Computer Science 2024-12-25 Prabhu Vellaisamy , Harideep Nair , Joseph Finn , Manav Trivedi , Albert Chen , Anna Li , Tsung-Han Lin , Perry Wang , Shawn Blanton , John Paul Shen

Generic matrix multiplication (GEMM) and one-dimensional convolution/cross-correlation (CONV) kernels often constitute the bulk of the compute- and memory-intensive processing within image/audio recognition and matching systems. We propose…

Multimedia · Computer Science 2014-11-12 Mohammad Ashraful Anam , Paul N. Whatmough , Yiannis Andreopoulos

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

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-03 Shixun Wu , Yujia Zhai , Jinyang Liu , Jiajun Huang , Zizhe Jian , Bryan M. Wong , Zizhong Chen

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

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…

Hardware Architecture · Computer Science 2024-04-18 Endri Taka , Dimitrios Gourounas , Andreas Gerstlauer , Diana Marculescu , Aman Arora

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

General matrix multiplication (GEMM) is a fundamental operation in deep learning (DL). With DL moving increasingly toward low precision, recent works have proposed novel unary GEMM designs as an alternative to conventional binary GEMM…

Hardware Architecture · Computer Science 2026-02-03 Prabhu Vellaisamy , Harideep Nair , Di Wu , Shawn Blanton , John Paul Shen
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