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We consider the prospect of a processor that can perform interval arithmetic at the same speed as conventional floating-point arithmetic. This makes it possible for all arithmetic to be performed with the superior security of interval…

Numerical Analysis · Mathematics 2025-10-20 M. H. van Emden

Global navigation satellite systems (GNSS) face significant challenges in urban and sub-urban areas due to non-line-of-sight (NLOS) propagation, multipath effects, and low received power levels, resulting in highly non-linear and…

Machine Learning · Computer Science 2025-04-22 M. Humayun Kabir , Md. Ali Hasan , Md. Shafiqul Islam , Kyeongjun Ko , Wonjae Shin

The use of low-precision fixed-point arithmetic along with stochastic rounding has been proposed as a promising alternative to the commonly used 32-bit floating point arithmetic to enhance training neural networks training in terms of…

Machine Learning · Computer Science 2018-04-17 Marc Ortiz , Adrián Cristal , Eduard Ayguadé , Marc Casas

Extreme edge platforms, such as in-vehicle smart devices, require efficient deployment of quantized deep neural networks (DNNs) to enable intelligent applications with limited amounts of energy, memory, and computing resources. However,…

Hardware Architecture · Computer Science 2024-03-28 Longwei Huang , Chao Fang , Qiong Li , Jun Lin , Zhongfeng Wang

Applications in the AI and HPC fields require much memory capacity, and the amount of energy consumed by main memory of server machines is ever increasing. Energy consumption of main memory can be greatly reduced by applying approximate…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-04 Shinsuke Hamada , Soramichi Akiyama , Mitaro Namiki

Python has become the de facto language for scientific computing. Programming in Python is highly productive, mainly due to its rich science-oriented software ecosystem built around the NumPy module. As a result, the demand for Python…

Precision tuning or customized precision number representations is emerging, in these recent years, as one of the most promising techniques that has a positive impact on the footprint of programs concerning energy consumption, bandwidth…

Software Engineering · Computer Science 2022-03-16 Dorra Ben Khalifa , Matthieu Martel

A new deterministic floating-point arithmetic called precision arithmetic is developed to track precision for arithmetic calculations. It uses a novel rounding scheme to avoid excessive rounding error propagation of conventional…

Discrete Mathematics · Computer Science 2025-10-20 Chengpu Wang

Fast and energy-efficient low-bitwidth floating-point (FP) arithmetic is essential for Artificial Intelligence (AI) systems. Microscaling (MX) standardized formats have recently emerged as a promising alternative to baseline low-bitwidth FP…

Hardware Architecture · Computer Science 2025-05-20 Gamze İslamoğlu , Luca Bertaccini , Arpan Suravi Prasad , Francesco Conti , Angelo Garofalo , Luca Benini

Floating-point arithmetic plays a central role in science, engineering, and finance by enabling developers to approximate real arithmetic. To address numerical issues in large floating-point applications, developers must identify root…

Programming Languages · Computer Science 2018-07-02 Alex Sanchez-Stern , Pavel Panchekha , Sorin Lerner , Zachary Tatlock

One of the major performance and scalability bottlenecks in large scientific applications is parallel reading and writing to supercomputer I/O systems. The usage of parallel file systems and consistency requirements of POSIX, that all the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-30 Steven Wei-der Chien , Stefano Markidis , Rami Karim , Erwin Laure , Sai Narasimhamurthy

The 2D heatmap-based approaches have dominated Human Pose Estimation (HPE) for years due to high performance. However, the long-standing quantization error problem in the 2D heatmap-based methods leads to several well-known drawbacks: 1)…

Computer Vision and Pattern Recognition · Computer Science 2022-07-06 Yanjie Li , Sen Yang , Peidong Liu , Shoukui Zhang , Yunxiao Wang , Zhicheng Wang , Wankou Yang , Shu-Tao Xia

Diffusion Transformers (DiTs) have recently gained substantial attention in both industrial and academic fields for their superior visual generation capabilities, outperforming traditional diffusion models that use U-Net. However,the…

Computer Vision and Pattern Recognition · Computer Science 2024-06-03 Wenxuan Liu , Sai Qian Zhang

Traditionally, high energy physics (HEP) experiments have relied on x86 CPUs for the majority of their significant computing needs. As the field looks ahead to the next generation of experiments such as DUNE and the High-Luminosity LHC, the…

Data files often consist of numbers having only a few significant decimal digits, whose information content would allow storage in only 32 bits. However, we may require that arithmetic operations involving these numbers be done with 64-bit…

Computation · Statistics 2015-04-14 Radford M. Neal

This paper introduces HiFloat4 (HiF4), a block floating-point data format tailored for deep learning. Each HiF4 unit packs 64 4-bit elements with 32 bits of shared scaling metadata, averaging 4.5 bits per value. The metadata specifies a…

High performance computing (HPC) applications have a high requirement on storage speed and capacity. Non-volatile memory is a promising technology to replace traditional storage devices to improve HPC performance. Earlier in 2017, Intel and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Kai Wu , Frank Ober , Shari Hamlin , Dong Li

IoT devices suffer from resource limitations, such as processor, RAM, and disc storage. These limitations become more evident when handling demanding applications, such as deep learning, well-known for their heavy computational…

Fault-tolerant quantum computing is crucial for realizing large-scale quantum computation, and the interplay between hardware architecture and quantum error-correcting codes is a key consideration. We present a comparative study of two…

The Poisson equation has many applications across the broad areas of science and engineering. Most quantum algorithms for the Poisson solver presented so far either suffer from lack of accuracy and/or are limited to very small sizes of the…