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Related papers: A computation of D(9) using FPGA Supercomputing

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For FPGA-based neural network accelerators, digital signal processing (DSP) blocks have traditionally been the cornerstone for handling multiplications. This paper introduces LUTMUL, which harnesses the potential of look-up tables (LUTs)…

Hardware Architecture · Computer Science 2024-11-20 Yanyue Xie , Zhengang Li , Dana Diaconu , Suranga Handagala , Miriam Leeser , Xue Lin

Quantum computers could solve problems beyond the reach of classical devices, but this potential depends on quantum error correction (QEC) to protect fragile quantum states from noise. A central challenge in QEC is decoding: inferring…

Quantum Physics · Physics 2026-04-28 Tianyi Xu , Qinglong Liu , Maolin Wang , Fei Zhang , Zhe Zhao , Yang Wang , Ye Wei

One significant advantage of superconducting processors is their extensive design flexibility, which encompasses various types of qubits and interactions. Given the large number of tunable parameters of a processor, the ability to perform…

Quantum Physics · Physics 2025-04-25 Ziang Wang , Feng Wu , Hui-Hai Zhao , Xin Wan , Xiaotong Ni

Deep neural networks have evolved remarkably over the past few years and they are currently the fundamental tools of many intelligent systems. At the same time, the computational complexity and resource consumption of these networks also…

Computer Vision and Pattern Recognition · Computer Science 2018-02-13 Jian Cheng , Peisong Wang , Gang Li , Qinghao Hu , Hanqing Lu

We study the arithmetical structures on the complete graph $K_9$. Our method is based on studying the solutions to writing the unit as a sum of 9 unit fractions. We work from the perspective of the Diophantine equation and use some…

Number Theory · Mathematics 2025-04-17 Claire Levaillant

Study of general purpose computation by GPU (Graphics Processing Unit) can improve the image processing capability of micro-computer system. This paper studies the parallelism of the different stages of decimation in time radix 2 FFT…

Mathematical Software · Computer Science 2015-06-01 Feifei Shen , Zhenjian Song , Congrui Wu , Jiaqi Geng , Qingyun Wang

We present a super-high-efficiency approximate computing scheme for series sum and discrete Fourier transform. The summation of a series sum or a discrete Fourier transform is approximated by summing over part of the terms multiplied by…

Numerical Analysis · Mathematics 2013-12-09 Xin-Zhong Yan

We present the results of gravitational direct $N$-body simulations using the Graphics Processing Unit (GPU) on a commercial NVIDIA GeForce 8800GTX designed for gaming computers. The force evaluation of the $N$-body problem is implemented…

Astrophysics · Physics 2008-11-26 Robert G. Belleman , Jeroen Bedorf , Simon Portegies Zwart

Neural Network designs are quite diverse, from VGG-style to ResNet-style, and from Convolutional Neural Networks to Transformers. Towards the design of efficient accelerators, many works have adopted a dataflow-based, inter-layer pipelined…

Machine Learning · Computer Science 2023-06-23 Zhewen Yu , Christos-Savvas Bouganis

Pseudo-code written by natural language is helpful for novice developers' program comprehension. However, writing such pseudo-code is time-consuming and laborious. Motivated by the research advancements of sequence-to-sequence learning and…

Software Engineering · Computer Science 2021-09-22 Guang Yang , Yanlin Zhou , Xiang Chen , Chi Yu

We present results from our cosmological N-body simulation which consisted of 2048x2048x2048 particles and ran distributed across three supercomputers throughout Europe. The run, which was performed as the concluding phase of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-27 Derek Groen , Steven Rieder , Simon Portegies Zwart

We have a FPGA design, we make it fast, efficient, and tested for a few important examples. Now we must infer a general solution to deploy in the data center. Here, we describe the FPGA DPUV3INT8 design and our compiler effort. The…

Computation and Language · Computer Science 2021-10-12 Paolo D'Alberto , Jiangsha Ma , Jintao Li , Yiming Hu , Manasa Bollavaram , Shaoxia Fang

Nonbinary LDPC codes have shown superior performance close to the Shannon limit. Compared to binary LDPC codes of similar lengths, they can reach orders of magnitudes lower error rate. However, multitude of design freedoms of nonbinary LDPC…

Information Theory · Computer Science 2022-03-29 Yaoyu Tao , Qi Wu

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

With the development of large-scale integrated circuits, electronic design automation~(EDA) tools are increasingly emphasizing efficiency, with parallel algorithms becoming a trend. The optimization of delay reduction is a crucial factor…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-23 Ye Cai , Zonglin Yang , Liwei Ni , Biwei Xie , Xingquan Li

Deep neural networks have been demonstrated impressive results in various cognitive tasks such as object detection and image classification. In order to execute large networks, Von Neumann computers store the large number of weight…

Neural and Evolutionary Computing · Computer Science 2015-08-06 Jaeyong Chung , Taehwan Shin , Yongshin Kang

This whitepaper proposes the design and adoption of a new generation of Tensor Processing Unit which has the performance of Google's TPU, yet performs operations on wide precision data. The new generation TPU is made possible by…

Hardware Architecture · Computer Science 2017-06-13 Eric B. Olsen

Deep neural network (DNN) inference using reduced integer precision has been shown to achieve significant improvements in memory utilization and compute throughput with little or no accuracy loss compared to full-precision floating-point.…

Hardware Architecture · Computer Science 2023-04-11 Yuzong Chen , Mohamed S. Abdelfattah

New soft- and hard decision decoding algorithms are presented for general Reed-Muller codes $\left\{\genfrac{}{}{0pt}{}{m}{r}\right\} $ of length $2^{m}$ and distance $2^{m-r}$. We use Plotkin $(u,u+v)$ construction and decompose code…

Information Theory · Computer Science 2017-03-17 Ilya Dumer

Low-precision data types are essential in modern neural networks during both training and inference as they enhance throughput and computational capacity by better exploiting available hardware resources. Despite the incorporation of FP8 in…