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Fluid dynamics simulations with the lattice Boltzmann method (LBM) are very memory-intensive. Alongside reduction in memory footprint, significant performance benefits can be achieved by using FP32 (single) precision compared to FP64…

Computational Physics · Physics 2022-07-28 Moritz Lehmann , Mathias J. Krause , Giorgio Amati , Marcello Sega , Jens Harting , Stephan Gekle

The expanding scale of large neural network models introduces significant challenges, driving efforts to reduce memory usage and enhance computational efficiency. Such measures are crucial to ensure the practical implementation and…

Machine Learning · Computer Science 2025-02-14 Eduardo Lobo Lustosa Cabral , Larissa Driemeier

With the increasing size of Deep Neural Network (DNN) models, the high memory space requirements and computational complexity have become an obstacle for efficient DNN implementations. To ease this problem, using reduced-precision…

Machine Learning · Computer Science 2019-09-10 Jinming Lu , Siyuan Lu , Zhisheng Wang , Chao Fang , Jun Lin , Zhongfeng Wang , Li Du

Deep neural networks (DNN) are powerful models for many pattern recognition tasks, yet their high computational complexity and memory requirement limit them to applications on high-performance computing platforms. In this paper, we propose…

Machine Learning · Computer Science 2018-10-24 Lukas Mauch , Bin Yang

In this paper, we propose a mixed-precision convolution unit architecture which supports different integer and floating point (FP) precisions. The proposed architecture is based on low-bit inner product units and realizes higher precision…

Hardware Architecture · Computer Science 2021-01-29 Hamzah Abdel-Aziz , Ali Shafiee , Jong Hoon Shin , Ardavan Pedram , Joseph H. Hassoun

In this paper, we explore FP8 low-bit data formats for efficient training of large language models (LLMs). Our key insight is that most variables, such as gradients and optimizer states, in LLM training can employ low-precision data formats…

In this work, we provide energy-efficient architectural support for floating point accuracy. Our goal is to provide accuracy that is far greater than that provided by the processor's hardware floating point unit (FPU). Specifically, for…

Hardware Architecture · Computer Science 2013-09-30 Ralph Nathan , Bryan Anthonio , Shih-Lien Lu , Helia Naeimi , Daniel J. Sorin , Xiaobai Sun

Post-training quantization (PTQ) is a powerful technique for model compression, reducing the numerical precision in neural networks without additional training overhead. Recent works have investigated adopting 8-bit floating-point…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Shivam Aggarwal , Hans Jakob Damsgaard , Alessandro Pappalardo , Giuseppe Franco , Thomas B. Preußer , Michaela Blott , Tulika Mitra

Enabling On-Device Learning (ODL) for Ultra-Low-Power Micro-Controller Units (MCUs) is a key step for post-deployment adaptation and fine-tuning of Deep Neural Network (DNN) models in future TinyML applications. This paper tackles this…

Machine Learning · Computer Science 2023-05-31 Davide Nadalini , Manuele Rusci , Luca Benini , Francesco Conti

On modern architectures, the performance of 32-bit operations is often at least twice as fast as the performance of 64-bit operations. By using a combination of 32-bit and 64-bit floating point arithmetic, the performance of many dense and…

Mathematical Software · Computer Science 2015-05-13 Marc Baboulin , Alfredo Buttari , Jack Dongarra , Jakub Kurzak , Julie Langou , Julien Langou , Piotr Luszczek , Stanimire Tomov

Recently, the posit numerical format has shown promise for DNN data representation and compute with ultra-low precision ([5..8]-bit). However, majority of studies focus only on DNN inference. In this work, we propose DNN training using…

Machine Learning · Computer Science 2019-08-01 Hamed F. Langroudi , Zachariah Carmichael , Dhireesha Kudithipudi

Deep learning models typically use single-precision (FP32) floating point data types for representing activations and weights, but a slew of recent research work has shown that computations with reduced-precision data types (FP16, 16-bit…

Machine Learning · Computer Science 2021-01-15 Daya Khudia , Jianyu Huang , Protonu Basu , Summer Deng , Haixin Liu , Jongsoo Park , Mikhail Smelyanskiy

The recent surge of interest in Deep Neural Networks (DNNs) has led to increasingly complex networks that tax computational and memory resources. Many DNNs presently use 16-bit or 32-bit floating point operations. Significant performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-23 Zachariah Carmichael , Hamed F. Langroudi , Char Khazanov , Jeffrey Lillie , John L. Gustafson , Dhireesha Kudithipudi

In modern low-power embedded platforms, floating-point (FP) operations emerge as a major contributor to the energy consumption of compute-intensive applications with large dynamic range. Experimental evidence shows that 50% of the energy…

Hardware Architecture · Computer Science 2017-11-29 Giuseppe Tagliavini , Stefan Mach , Davide Rossi , Andrea Marongiu , Luca Benini

Quantization is an effective technique to reduce memory footprint, inference latency, and power consumption of deep learning models. However, existing quantization methods suffer from accuracy degradation compared to full-precision (FP)…

Machine Learning · Computer Science 2022-10-14 Zheng Wang , Juncheng B Li , Shuhui Qu , Florian Metze , Emma Strubell

Artificial neural networks can be trained with relatively low-precision floating-point and fixed-point arithmetic, using between one and 16 bits. Previous works have focused on relatively wide-but-shallow, feed-forward networks. We…

Neural and Evolutionary Computing · Computer Science 2017-02-28 Benjamin Graham

Training Deep Neural Networks (DNNs) can be computationally demanding, particularly when dealing with large models. Recent work has aimed to mitigate this computational challenge by introducing 8-bit floating-point (FP8) formats for…

Hardware Architecture · Computer Science 2024-09-27 Sami Ben Ali , Silviu-Ioan Filip , Olivier Sentieys

Largely due to their increased native capacity for numerical intensity and power efficiency, reduced-precision floating-point computing resources, primarily used in artificial intelligence (AI) applications, have expanded at a greater rate…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Harun Bayraktar , Cole Brower , John Gunnels , Greg Henry , Cherin Joseph , Jack Kosaian , Dmitry Lyakh , Lukas Mosimann , Victor Podlozhnyuk , Addison Richards , Paul Springer , Haicheng Wu

While advancements in quantization have significantly reduced the computational costs of inference in deep learning, training still predominantly relies on complex floating-point arithmetic. Low-precision fixed-point training presents a…

Machine Learning · Computer Science 2025-10-21 Hassan Hamad , Yuou Qiu , Peter A. Beerel , Keith M. Chugg

The high computational complexity associated with training deep neural networks limits online and real-time training on edge devices. This paper proposed an end-to-end training and inference scheme that eliminates multiplications by…

Machine Learning · Computer Science 2026-05-05 Arnab Sanyal , Peter A. Beerel , Keith M. Chugg