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Deep learning frameworks commonly implement convolution operators with GEMM-based algorithms. In these algorithms, convolution is implemented on top of matrix-matrix multiplication (GEMM) functions, provided by highly optimized BLAS…

Computer Vision and Pattern Recognition · Computer Science 2019-07-05 Marat Dukhan

Convolutional neural networks (CNNs) have emerged as one of the most successful machine learning technologies for image and video processing. The most computationally intensive parts of CNNs are the convolutional layers, which convolve…

Computer Vision and Pattern Recognition · Computer Science 2017-07-04 Aravind Vasudevan , Andrew Anderson , David Gregg

Many of today's deep neural network accelerators, e.g., Google's TPU and NVIDIA's tensor core, are built around accelerating the general matrix multiplication (i.e., GEMM). However, supporting convolution on GEMM-based accelerators is not…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-11 Yangjie Zhou , Mengtian Yang , Cong Guo , Jingwen Leng , Yun Liang , Quan Chen , Minyi Guo , Yuhao Zhu

We present a novel approach for accelerating convolutions during inference for CPU-based architectures. The most common method of computation involves packing the image into the columns of a matrix (im2col) and performing general matrix…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Amir Ofir , Gil Ben-Artzi

Convolution is the most time-consuming operation in deep neural network operations, so its performance is critical to the overall performance of the neural network. The commonly used methods for convolution on GPU include the general matrix…

Neural and Evolutionary Computing · Computer Science 2023-06-27 Shuai Lu , Jun Chu , Luanzheng Guo , Xu T. Liu

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

Convolution is the most expensive operation among neural network operations, thus its performance is critical to the overall performance of neural networks. Commonly used convolution approaches, including general matrix multiplication…

Neural and Evolutionary Computing · Computer Science 2023-06-27 Shuai Lu , Jun Chu , Xu T. Liu

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

In Scientific Computing and modern Machine Learning (ML) workloads, sequences of dependent General Matrix Multiplications (GEMMs) often dominate execution time. While state-of-the-art BLAS libraries aggressively optimize individual GEMM…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-07 César Guedes Carneiro , Lucas Alvarenga , Guido Araujo , Sandro Rigo

Tensor computations--in particular tensor contraction (TC)--are important kernels in many scientific computing applications. Due to the fundamental similarity of TC to matrix multiplication (MM) and to the availability of optimized…

Mathematical Software · Computer Science 2025-03-26 Devin A. Matthews

General matrix multiplication (GeMM) is a core operation in virtually all AI applications. Systolic array (SA) based architectures have shown great promise as GeMM hardware accelerators thanks to their speed and energy efficiency.…

Hardware Architecture · Computer Science 2025-01-13 Md Mizanur Rahaman Nayan , Ritik Raj , Gouse Basha Shaik , Tushar Krishna , Azad J Naeemi

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…

Hardware Architecture · Computer Science 2023-05-31 Louis Ledoux , Marc Casas

Convolution is one of the most computationally intensive operations that must be performed for machine-learning model inference. A traditional approach to compute convolutions is known as the Im2Col + BLAS method. This paper proposes SConv:…

Computer Vision and Pattern Recognition · Computer Science 2023-03-09 Victor Ferrari , Rafael Sousa , Marcio Pereira , João P. L. de Carvalho , José Nelson Amaral , José Moreira , Guido Araujo

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

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

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

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

Deep neural networks (DNNs) require very large amounts of computation both for training and for inference when deployed in the field. A common approach to implementing DNNs is to recast the most computationally expensive operations as…

Computer Vision and Pattern Recognition · Computer Science 2017-09-12 Andrew Anderson , Aravind Vasudevan , Cormac Keane , David Gregg

Transposed Convolutions (TCONV) enable the up-scaling mechanism within generative Artificial Intelligence (AI) models. However, the predominant Input-Oriented Mapping (IOM) method for implementing TCONV has complex output mapping,…

Hardware Architecture · Computer Science 2025-07-11 Jude Haris , José Cano

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…

Mathematical Software · Computer Science 2021-11-23 Thomas Faingnaert , Tim Besard , Bjorn De Sutter
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