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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

A primary function of back-propagation is to compute both the gradient of hidden representations and parameters for optimization with gradient descent. Training large models requires high computational costs due to their vast parameter…

Machine Learning · Computer Science 2024-04-23 Enmao Diao , Qi Le , Suya Wu , Xinran Wang , Ali Anwar , Jie Ding , Vahid Tarokh

Low-precision DNNs have been extensively explored in order to reduce the size of DNN models for edge devices. Recently, the posit numerical format has shown promise for DNN data representation and compute with ultra-low precision in…

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

In recent years, half precision floating-point arithmetic has gained wide support in hardware and software stack thanks to the advance of artificial intelligence and machine learning applications. Operating at half precision can…

Numerical Analysis · Mathematics 2024-09-19 Longfei Gao , Kevin Harms

Large output spaces, also referred to as Extreme multilabel classification (XMC), is a setting that arises, e.g., in large-scale tagging and product-to-product recommendation, and is characterized by the number of labels ranging from…

Machine Learning · Computer Science 2025-10-14 Jinbin Zhang , Nasib Ullah , Erik Schultheis , Rohit Babbar

Learning from the data stored in a database is an important function increasingly available in relational engines. Methods using lower precision input data are of special interest given their overall higher efficiency but, in databases,…

Data Structures and Algorithms · Computer Science 2019-03-29 Zeke Wang , Kaan Kara , Hantian Zhang , Gustavo Alonso , Onur Mutlu , Ce Zhang

Neural network quantization is frequently used to optimize model size, latency and power consumption for on-device deployment of neural networks. In many cases, a target bit-width is set for an entire network, meaning every layer get…

Machine Learning · Computer Science 2023-02-13 Nilesh Prasad Pandey , Markus Nagel , Mart van Baalen , Yin Huang , Chirag Patel , Tijmen Blankevoort

This paper presents the first comprehensive empirical study demonstrating the efficacy of the Brain Floating Point (BFLOAT16) half-precision format for Deep Learning training across image classification, speech recognition, language…

Reducing the latency variance in machine learning inference is a key requirement in many applications. Variance is harder to control in a cloud deployment in the presence of stragglers. In spite of this challenge, inference is increasingly…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-11 Krishna Narra , Zhifeng Lin , Ganesh Ananthanarayanan , Salman Avestimehr , Murali Annavaram

The strong demand for efficient and performant deployment of Deep Learning (DL) applications prompts the rapid development of a rich DL ecosystem. To keep up with this fast advancement, it is crucial for modern DL frameworks to efficiently…

Machine Learning · Computer Science 2022-10-31 Byungsoo Jeon , Sunghyun Park , Peiyuan Liao , Sheng Xu , Tianqi Chen , Zhihao Jia

MLaaS (ML-as-a-Service) offerings by cloud computing platforms are becoming increasingly popular. Hosting pre-trained machine learning models in the cloud enables elastic scalability as the demand grows. But providing low latency and…

Computer Vision and Pattern Recognition · Computer Science 2019-09-11 Krishna Giri Narra , Zhifeng Lin , Ganesh Ananthanarayanan , Salman Avestimehr , Murali Annavaram

We propose a scheme for reduced-precision representation of floating point data on a continuum between IEEE-754 floating point types. Our scheme enables the use of lower precision formats for a reduction in storage space requirements and…

Mathematical Software · Computer Science 2017-01-31 Andrew Anderson , David Gregg

Tiny machine learning (tinyML) has emerged during the past few years aiming to deploy machine learning models to embedded AI processors with highly constrained memory and computation capacity. Low precision quantization is an important…

The increasing computational demands of foundation models have spurred research into low-precision training, with 4-bit floating-point (\texttt{FP4}) formats emerging as a frontier for maximizing hardware throughput. While numerous…

Machine Learning · Computer Science 2025-09-23 Robert Hu , Carlo Luschi , Paul Balanca

Recent trends in lower precision, e.g. half-precision floating point, training have shown improved system performance and reduced memory usage for Deep Learning while maintaining accuracy. However, current GNN systems cannot achieve such…

Machine Learning · Computer Science 2025-09-17 Arnab Kanti Tarafder , Yidong Gong , Pradeep Kumar

Model quantization has become a crucial technique to address the issues of large memory consumption and long inference times associated with LLMs. Mixed-precision quantization, which distinguishes between important and unimportant…

Machine Learning · Computer Science 2024-10-22 Yifan Tan , Haoze Wang , Chao Yan , Yangdong Deng

Information loss in numerical physics simulations can arise from various sources when solving discretized partial differential equations. In particular, errors related to numerical precision ("sub-precision errors") can accumulate in the…

Fluid Dynamics · Physics 2022-09-27 Akash Haridas , Nagabhushana Rao Vadlamani , Yuki Minamoto

There is a growing interest in the use of reduced-precision arithmetic, exacerbated by the recent interest in artificial intelligence, especially with deep learning. Most architectures already provide reduced-precision capabilities (e.g.,…

Hardware Architecture · Computer Science 2022-12-09 Olivier Sentieys , Daniel Menard

Independently trained machine learning models tend to learn similar features. Given an ensemble of independently trained models, this results in correlated predictions and common failure modes. Previous attempts focusing on decorrelation of…

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