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We propose a novel floating-point encoding scheme that builds on prior work involving fixed-point encodings. We encode floating-point numbers using Two's Complement fixed-point mantissas and Two's Complement integral exponents. We used our…

We present a novel architecture for sparse pattern processing, using flash storage with embedded accelerators. Sparse pattern processing on large data sets is the essence of applications such as document search, natural language processing,…

Hardware Architecture · Computer Science 2017-01-25 Sang-Woo Jun , Huy T. Nguyen , Vijay N. Gadepally , Arvind

Frugal computing is becoming an important topic for environmental reasons. In this context, several techniques have been proposed to reduce the storage of scientific data by dedicated compression methods specially tailored for arrays of…

Data Structures and Algorithms · Computer Science 2022-03-01 Matthieu Martel

This paper presents the impact of using quantization on the efficiency of multi-class text classification in the training process of a support vector machine (SVM). This work is focused on comparing the efficiency of SVM model trained using…

Machine Learning · Computer Science 2020-07-20 Dominik Żurek , Marcin Pietroń

Geometry-based point cloud compression (G-PCC), an international standard designed by MPEG, provides a generic framework for compressing diverse types of point clouds while ensuring interoperability across applications and devices. However,…

Computer Vision and Pattern Recognition · Computer Science 2026-01-16 Wanhao Ma , Wei Zhang , Shuai Wan , Fuzheng Yang

Media-processing applications, such as signal processing, 2D and 3D graphics rendering, and image compression, are the dominant workloads in many embedded systems today. The real-time constraints of those media applications have taxing…

Hardware Architecture · Computer Science 2007-05-23 Nader Ben Amor , Yannick Le Moullec , Jean-Philippe Diguet , Jean Luc Philippe , Mohamed Abid

Modern graphics processing units (GPUs) provide impressive computing resources, which can be accessed conveniently through the CUDA programming interface. We describe how GPUs can be used to considerably speed up molecular dynamics (MD)…

Computational Physics · Physics 2011-04-08 Peter H. Colberg , Felix Höfling

Presented here are algorithms for converting between (decimal) scientific-notation and (binary) IEEE-754 double-precision floating-point numbers. By employing a rounding integer quotient operation these algorithms are much simpler than…

Numerical Analysis · Computer Science 2018-08-08 Aubrey Jaffer

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

Fast Fourier Transform (FFT) is an essential tool in scientific and engineering computation. The increasing demand for mixed-precision FFT has made it possible to utilize half-precision floating-point (FP16) arithmetic for faster speed and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-26 Binrui Li , Shenggan Cheng , James Lin

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

Data movement is one of the main challenges of contemporary system architectures. Near-Data Processing (NDP) mitigates this issue by moving computation closer to the memory, avoiding excessive data movement. Our proposal, Vector-In-Memory…

Hardware Architecture · Computer Science 2022-03-29 Marco Antonio Zanata Alves , Sairo Santos , Aline S. Cordeiro , Francis B. Moreira , Paulo C. Santos , Luigi Carro

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

Region proposal is critical for object detection while it usually poses a bottleneck in improving the computation efficiency on traditional control-flow architectures. We have observed region proposal tasks are potentially suitable for…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-30 Wenzhi Fu , Jianlei Yang , Pengcheng Dai , Yiran Chen , Weisheng Zhao

Floating-point programs form the foundation of modern science and engineering, providing the essential computational framework for a wide range of applications, such as safety-critical systems, aerospace engineering, and financial analysis.…

Software Engineering · Computer Science 2025-07-14 Youshuai Tan , Zhanwei Zhang , Jinfu Chen , Zishuo Ding , Jifeng Xuan , Weiyi Shang

This thesis examines a modern concept for machine numbers based on interval arithmetic called 'Unums' and compares it to IEEE 754 floating-point arithmetic, evaluating possible uses of this format where floating-point numbers are…

Numerical Analysis · Computer Science 2017-01-04 Laslo Hunhold

The recent rise of large language models (LLMs) has resulted in increased efforts towards running LLMs at reduced precision. Running LLMs at lower precision supports resource constraints and furthers their democratization, enabling users to…

Machine Learning · Computer Science 2023-07-10 Lakshmi Nair , Mikhail Bernadskiy , Arulselvan Madhavan , Craig Chan , Ayon Basumallik , Darius Bunandar

As the performance gains from accelerating quantized matrix multiplication plateau, the softmax operation becomes the critical bottleneck in Transformer inference. This bottleneck stems from two hardware limitations: (1) limited data…

Machine Learning · Computer Science 2026-02-03 Zisheng Ye , Xiaoyu He , Maoyuan Song , Guoliang Qiu , Chao Liao , Chen Wu , Yonggang Sun , Zhichun Li , Xiaoru Xie , Yuanyong Luo , Hu Liu , Pinyan Lu , Heng Liao

The complexity of combustion simulations demands the latest high-performance computing tools to accelerate its time-to-solution results. A current trend on HPC systems is the utilization of CPUs with SIMD or vector extensions to exploit…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-24 Fabio Banchelli , Guillermo Oyarzun , Marta Garcia-Gasulla , Filippo Mantovani , Ambrus Both , Guillaume Houzeaux , Daniel Mira

Numerical codes that require arbitrary precision floating point (APFP) numbers for their core computation are dominated by elementary arithmetic operations due to the super-linear complexity of multiplication in the number of mantissa bits.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-14 Johannes de Fine Licht , Christopher A. Pattison , Alexandros Nikolaos Ziogas , David Simmons-Duffin , Torsten Hoefler