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In recent years fused-multiply-add (FMA) units with lower-precision multiplications and higher-precision accumulation have proven useful in machine learning/artificial intelligence applications, most notably in training deep neural networks…

Mathematical Software · Computer Science 2019-04-16 Greg Henry , Ping Tak Peter Tang , Alexander Heinecke

Deep convolutional neural network (CNN) inference requires significant amount of memory and computation, which limits its deployment on embedded devices. To alleviate these problems to some extent, prior research utilize low precision…

Machine Learning · Computer Science 2017-03-10 Liangzhen Lai , Naveen Suda , Vikas Chandra

This letter introduces a novel channel coding design framework for short-length codewords that permits balancing the tradeoff between the bit error rate floor and waterfall region by modifying a single real-valued parameter. The proposed…

Information Theory · Computer Science 2016-11-17 Mikel Hernaez , Pedro M. crespo , Javier Del Ser

With the rising popularity of intelligent mobile devices, it is of great practical significance to develop accurate, realtime and energy-efficient image Super-Resolution (SR) inference methods. A prevailing method for improving the…

Image and Video Processing · Electrical Eng. & Systems 2021-04-20 Hu Wang , Peng Chen , Bohan Zhuang , Chunhua Shen

Discrete Fourier transforms~(DFTs) over finite fields have widespread applications in digital communication and storage systems. Hence, reducing the computational complexities of DFTs is of great significance. Recently proposed cyclotomic…

Information Theory · Computer Science 2015-05-19 Xuebin Wu , Meghanad Wagh , Ning Chen , Zhiyuan Yan , Ying Wang

One of the major promises of quantum computing is the realization of SIMD (single instruction - multiple data) operations using the phenomenon of superposition. Since the dimension of the state space grows exponentially with the number of…

FPGAs provide a flexible and efficient platform to accelerate rapidly-changing algorithms for computer vision. The majority of existing work focuses on accelerating image classification, while other fundamental vision problems, including…

Image and Video Processing · Electrical Eng. & Systems 2020-03-25 Qijing Huang , Dequan Wang , Yizhao Gao , Yaohui Cai , Zhen Dong , Bichen Wu , Kurt Keutzer , John Wawrzynek

Driven by the insatiable needs to process ever larger amount of data with more complex models, modern computer processors and accelerators are beginning to offer half precision floating point arithmetic support, and extremely optimized…

Mathematical Software · Computer Science 2019-12-12 Shaoshuai Zhang , Panruo Wu

Quantum Fourier transform (QFT) is a key function to realize quantum computers. A QFT followed by measurement was demonstrated on a simple circuit based on fiber-optics. The QFT was shown to be robust against imperfections in the rotation…

Quantum Physics · Physics 2007-05-23 Akihisa Tomita , Kazuo Nakamura

Fixed-point number representation is commonly employed in digital VLSI designs that have stringent hardware efficiency constraints. However, fixed-point numbers cover a relatively small dynamic range for a given bitwidth. In contrast,…

Hardware Architecture · Computer Science 2025-12-02 Seyed Hadi Mirfarshbafan , Nicolas Filliol , Oscar Castañeda , Christoph Studer

Floating-point arithmetic performance determines the overall performance of important applications, from graphics to AI. Meeting the IEEE-754 specification for floating-point requires that final results of addition, subtraction,…

Mathematical Software · Computer Science 2024-04-02 Lucas M. Dutton , Christopher Kumar Anand , Robert Enenkel , Silvia Melitta Müller

Iterative solvers are frequently used in scientific applications and engineering computations. However, the memory-bound Sparse Matrix-Vector (SpMV) kernel computation hinders the efficiency of iterative algorithms. As modern hardware…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-08 Jianhua Gao , Jiayuan Shen , Yuxiang Zhang , Weixing Ji , Hua Huang

In this paper, a multi-antenna assisted virtual full-duplex (FD) relaying with reliability-aware iterative decoding at destination node is proposed to improve system spectral efficiency and reliability. This scheme enables two half-duplex…

Information Theory · Computer Science 2017-10-19 Jiancao Hou , Sandeep Narayanan , Yi Ma , Mohammad Shikh-Bahaei

Building on previous research on frequency allocation optimization for superconducting circuit quantum processors, this work incorporates several new techniques to improve overall solution quality. New features include tightening…

Quantum Physics · Physics 2025-01-27 Zewen Zhang , Pranav Gokhale , Jeffrey M. Larson

In fault-tolerant quantum computing, soft outputs from real-time decoders play a crucial role in improving decoding accuracy, post-selecting magic states, and accelerating lattice surgery. A recent paper by Meister et al. [arXiv:2405.07433…

Quantum Physics · Physics 2026-02-04 Kaito Kishi , Riki Toshio , Jun Fujisaki , Hirotaka Oshima , Shintaro Sato , Keisuke Fujii

With the race to build large-scale quantum computers and efforts to exploit quantum algorithms for efficient problem solving in science and engineering disciplines, the requirement to have efficient and scalable verification methods are of…

Quantum Physics · Physics 2023-03-14 Arun Govindankutty , Sudarshan K. Srinivasan , Nimish Mathure

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

The QR Decomposition (QRD) of communication channel matrices is a fundamental prerequisite to several detection schemes in Multiple-Input Multiple-Output (MIMO) communication systems. Herein, the main feature of the QRD is to transform the…

Other Computer Science · Computer Science 2016-11-17 Sebastien Aubert , Manar Mohaisen , Fabienne Nouvel , KyungHi Chang

Audio signal processing frequently requires time-frequency representations and in many applications, a non-linear spacing of frequency-bands is preferable. This paper introduces a framework for efficient implementation of invertible signal…

Functional Analysis · Mathematics 2013-05-17 Nicki Holighaus , Monika Dörfler , Gino Angelo Velasco , Thomas Grill

Recently we introduced a class of number representations denoted RN-representations, allowing an un-biased rounding-to-nearest to take place by a simple truncation. In this paper we briefly review the binary fixed-point representation in an…

Numerical Analysis · Computer Science 2012-01-20 Peter Kornerup , Jean-Michel Muller , Adrien Panhaleux