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Recent trends and advancement in including more diverse and heterogeneous hardware in High-Performance Computing is challenging software developers in their pursuit for good performance and numerical stability. The well-known maxim…

Mathematical Software · Computer Science 2021-07-06 Niclas Jansson , Martin Karp , Artur Podobas , Stefano Markidis , Philipp Schlatter

Memory efficiency is crucial in training deep learning networks on resource-restricted devices. During backpropagation, forward tensors are used to calculate gradients. Despite the option of keeping those dependencies in memory until they…

Machine Learning · Computer Science 2022-12-22 Manuela Schuler , Richard Membarth , Philipp Slusallek

Renewed interest in mixed-precision algorithms has emerged due to growing data capacity and bandwidth concerns, as well as the advancement of GPUs, which enable significant speedup for low precision arithmetic. In light of this, we propose…

Numerical Analysis · Mathematics 2020-12-14 Alec Michael Dunton , Alyson Fox

Traditional optimization methods rely on the use of single-precision floating point arithmetic, which can be costly in terms of memory size and computing power. However, mixed precision optimization techniques leverage the use of both…

Machine Learning · Computer Science 2023-09-25 Basile Lewandowski , Atli Kosson

Networks are essential for analyzing complex systems. However, their growing size necessitates backbone extraction techniques aimed at reducing their size while retaining critical features. In practice, selecting, implementing, and…

Social and Information Networks · Computer Science 2025-03-21 Ali Yassin , Abbas Haidar , Hocine Cherifi , Hamida Seba , Olivier Togni

Exploiting low-precision computations has become a standard strategy in deep learning to address the growing computational costs imposed by ever larger models and datasets. However, naively performing all computations in low precision can…

Machine Learning · Computer Science 2026-05-01 Elena Celledoni , Brynjulf Owren , Lars Ruthotto , Tianjiao Nicole Yang

The Met Office's weather and climate simulation code the Unified Model is used for both operational Numerical Weather Prediction and Climate modelling. The computational performance of the model running on parallel supercomputers is a key…

Numerical Analysis · Computer Science 2018-11-12 Christopher M Maynard , David N Walters

Model merging has emerged as an efficient method to combine multiple single-task fine-tuned models. The merged model can enjoy multi-task capabilities without expensive training. While promising, merging into a single model often suffers…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Akash Dhasade , Divyansh Jhunjhunwala , Milos Vujasinovic , Gauri Joshi , Anne-Marie Kermarrec

Deploying mixed-precision neural networks on edge devices is friendly to hardware resources and power consumption. To support fully mixed-precision neural network inference, it is necessary to design flexible hardware accelerators for…

Hardware Architecture · Computer Science 2025-02-04 Liang Zhao , Kunming Shao , Fengshi Tian , Tim Kwang-Ting Cheng , Chi-Ying Tsui , Yi Zou

This work proposes a mathematically founded mixed precision accumulation strategy for the inference of neural networks. Our strategy is based on a new componentwise forward error analysis that explains the propagation of errors in the…

Machine Learning · Computer Science 2025-12-03 El-Mehdi El Arar , Silviu-Ioan Filip , Theo Mary , Elisa Riccietti

Evaluating real-valued expressions to high precision is a key building block in computational mathematics, physics, and numerics. A typical implementation evaluates the whole expression in a uniform precision, doubling that precision until…

Numerical Analysis · Mathematics 2025-04-21 Artem Yadrov , Pavel Panchekha

Evaluating real-valued expressions to high precision is a key building block in computational mathematics, physics, and numerics. A typical implementation evaluates the whole expression in a uniform precision, doubling that precision until…

Mathematical Software · Computer Science 2025-08-13 Artem Yadrov , Pavel Panchekha

Model quantization helps to reduce model size and latency of deep neural networks. Mixed precision quantization is favorable with customized hardwares supporting arithmetic operations at multiple bit-widths to achieve maximum efficiency. We…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Linjie Yang , Qing Jin

Deep neural networks (DNNs) have revolutionized the field of artificial intelligence and have achieved unprecedented success in cognitive tasks such as image and speech recognition. Training of large DNNs, however, is computationally…

Mixed-precision algorithms have been proposed as a way for scientific computing to benefit from some of the gains seen for artificial intelligence (AI) on recent high performance computing (HPC) platforms. A few applications dominated by…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Aditya Kashi , Nicholson Koukpaizan , Hao Lu , Michael Matheson , Sarp Oral , Feiyi Wang

The growing demands of the worldwide IT infrastructure stress the need for reduced power consumption, which is addressed in so-called transprecision computing by improving energy efficiency at the expense of precision. For example, reducing…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-30 Andrea Borghesi , Giuseppe Tagliavini , Michele Lombardi , Luca Benini , Michela Milano

The introduction of the neural implicit representation has notably propelled the advancement of online dense reconstruction techniques. Compared to traditional explicit representations, such as TSDF, it improves the mapping completeness and…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Yuqing Lan , Chenyang Zhu , Shuaifeng Zhi , Jiazhao Zhang , Zhoufeng Wang , Renjiao Yi , Yijie Wang , Kai Xu

We present an algorithm to perform trust-region-based optimization for nonlinear unconstrained problems. The method selectively uses function and gradient evaluations at different floating-point precisions to reduce the overall energy…

Optimization and Control · Mathematics 2022-02-18 Richard J Clancy , Matt Menickelly , Jan Hückelheim , Paul Hovland , Prani Nalluri , Rebecca Gjini

Exascale computing enables high-fidelity simulations of chemically reactive flows in practical geometries and conditions, and paves the way for valuable insights that can optimize combustion processes, ultimately reducing emissions and…

Computational Physics · Physics 2024-09-11 Stefan Kerkemeier , Christos E. Frouzakis , Ananias G. Tomboulides , Paul Fischer , Mathis Bode

We investigate the use of half-precision floating-point numbers (FP16) in mixed-precision linear solvers for lattice QCD simulations. Since the emergence of GPUs for general-purpose, mixed-precision algorithms that combine single-precision…

High Energy Physics - Lattice · Physics 2026-02-17 Issaku Kanamori , Hideo Matsufuru , Tatsumi Aoyama , Kazuyuki Kanaya , Yusuke Namekawa , Hidekatsu Nemura , Keigo Nitadori