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Modern computing architectures feature low-precision matrix multiplication units that achieve substantially higher throughput than their high-precision counterparts. Motivated by this architectural trend, the emulation of high-precision…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-18 Yuki Uchino , Qianxiang Ma , Toshiyuki Imamura , Katsuhisa Ozaki , Patrick Lars Gutsche

Floating-point non-associativity makes fundamental deep learning operations, such as matrix multiplication (matmul) on GPUs, inherently non-deterministic. Despite this, the statistical structure of the resulting numerical error remains…

Numerical Analysis · Mathematics 2025-11-04 Tadisetty Sai Yashwanth

Edge training of Deep Neural Networks (DNNs) is a desirable goal for continuous learning; however, it is hindered by the enormous computational power required by training. Hardware approximate multipliers have shown their effectiveness for…

Hardware Architecture · Computer Science 2022-09-26 Jing Gong , Hassaan Saadat , Hasindu Gamaarachchi , Haris Javaid , Xiaobo Sharon Hu , Sri Parameswaran

Neural Networks (NNs) have been widely adopted due to their outstanding efficacy and adaptability across computer vision and deep learning applications. The optimization of NNs is necessary to enable their deployment on energy constrained…

Hardware Architecture · Computer Science 2026-05-12 Pragun Jaswal , L. Hemanth Krishna , B. Srinivasu

Scientific workloads have traditionally exploited high levels of sparsity to accelerate computation and reduce memory requirements. While deep neural networks can be made sparse, achieving practical speedups on GPUs is difficult because…

Machine Learning · Computer Science 2020-09-02 Trevor Gale , Matei Zaharia , Cliff Young , Erich Elsen

As neural network model sizes have dramatically increased, so has the interest in various techniques to reduce their parameter counts and accelerate their execution. An active area of research in this field is sparsity - encouraging zero…

With the increasing complexity of machine learning models, managing computational resources like memory and processing power has become a critical concern. Mixed precision techniques, which leverage different numerical precisions during…

Machine Learning · Computer Science 2026-04-20 Juyoung Yun , Sol Choi , Francois Rameau , Byungkon Kang , Zhoulai Fu

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

Recent hardware acceleration advances have enabled powerful specialized accelerators for finite element computations, spiking neural network inference, and sparse tensor operations. However, existing approaches face fundamental limitations:…

Hardware Architecture · Computer Science 2026-01-09 Chuanzhen Wang , Leo Zhang , Eric Liu

Floating point multiplication is one of the crucial operations in many application domains such as image processing, signal processing etc. But every application requires different working features. Some need high precision, some need low…

Hardware Architecture · Computer Science 2020-12-08 S. Arish , R. K. Sharma

This study was aimed at simultaneously achieving sufficient accuracy and high performance for general matrix multiplications. Recent architectures, such as NVIDIA GPUs, feature high-performance units designed for low-precision matrix…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-29 Yuki Uchino , Katsuhisa Ozaki , Toshiyuki Imamura

Tensor Processing Units (TPUs) are specialized hardware accelerators for deep learning developed by Google. This paper aims to explore TPUs in cloud and edge computing focusing on its applications in AI. We provide an overview of TPUs,…

Hardware Architecture · Computer Science 2023-11-15 Diego Sanmartín Carrión , Vera Prohaska

In recent years fused-multiply-add (FMA) units with lower-precision multiplications and higher-precision accumulation have proven useful in machine learning/artificial intelligence applications, most notably in training deep neural networks…

Mathematical Software · Computer Science 2019-04-16 Greg Henry , Ping Tak Peter Tang , Alexander Heinecke

The widespread adoption of machine learning algorithms necessitates hardware acceleration to ensure efficient performance. This acceleration relies on custom matrix engines that operate on full or reduced-precision floating-point…

Hardware Architecture · Computer Science 2024-08-23 Kosmas Alexandridis , Christodoulos Peltekis , Dionysios Filippas , Giorgos Dimitrakopoulos

Support for arithmetic in multiple precisions and number formats is becoming increasingly common in emerging high-performance architectures. From a computational scientist's perspective, our goal is to determine how and where we can safely…

Numerical Analysis · Mathematics 2026-02-05 Erin Claire Carson

B-spline modeling is fundamental to CAD systems, and its evaluation and manipulation algorithms currently in use were developed decades ago, specifically for CPU architectures. While remaining effective for many applications, these…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-17 Jiayu Wu , Qiang Zou

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

Advancements in AI have greatly enhanced the medical imaging process, making it quicker to diagnose patients. However, very few have investigated the optimization of a multi-model system with hardware acceleration. As specialized edge…

Hardware Architecture · Computer Science 2025-10-03 Ashiyana Abdul Majeed , Mahmoud Meribout , Safa Mohammed Sali

Given the stringent requirements of energy efficiency for Internet-of-Things edge devices, approximate multipliers, as a basic component of many processors and accelerators, have been constantly proposed and studied for decades, especially…

Hardware Architecture · Computer Science 2023-06-30 Ying Wu , Chuangtao Chen , Weihua Xiao , Xuan Wang , Chenyi Wen , Jie Han , Xunzhao Yin , Weikang Qian , Cheng Zhuo

Due to decelerating gains in single-core CPU performance, computationally expensive simulations are increasingly executed on highly parallel hardware platforms. Agent-based simulations, where simulated entities act with a certain degree of…

Multiagent Systems · Computer Science 2018-07-04 Jiajian Xiao , Philipp Andelfinger , David Eckhoff , Wentong Cai , Alois Knoll
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