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Triangle counting (TC) is a fundamental problem in graph analysis and has found numerous applications, which motivates many TC acceleration solutions in the traditional computing platforms like GPU and FPGA. However, these approaches suffer…

Hardware Architecture · Computer Science 2020-07-22 Xueyan Wang , Jianlei Yang , Yinglin Zhao , Yingjie Qi , Meichen Liu , Xingzhou Cheng , Xiaotao Jia , Xiaoming Chen , Gang Qu , Weisheng Zhao

This paper presents efficient algorithms, designed to leverage SIMD for performing Montgomery reductions and additions on integers larger than 512 bits. The existing algorithms encounter inefficiencies when parallelized using SIMD due to…

Cryptography and Security · Computer Science 2023-09-01 Pengchang Ren , Reiji Suda , Vorapong Suppakitpaisarn

Triangles are the basic substructure of networks and triangle counting (TC) has been a fundamental graph computing problem in numerous fields such as social network analysis. Nevertheless, like other graph computing problems, due to the…

Hardware Architecture · Computer Science 2021-12-02 Xueyan Wang , Jianlei Yang , Yinglin Zhao , Xiaotao Jia , Rong Yin , Xuhang Chen , Gang Qu , Weisheng Zhao

This paper describes several new improvements of modular arithmetic and how to exploit them in order to gain more efficient implementations of commonly used algorithms, especially in cryptographic applications. We further present a new…

Cryptography and Security · Computer Science 2013-10-15 Wilke Trei

Processing-in-memory (PIM) promises to alleviate the data movement bottleneck in modern computing systems. However, current real-world PIM systems have the inherent disadvantage that their hardware is more constrained than in conventional…

Mathematical Software · Computer Science 2023-09-07 Maurus Item , Juan Gómez-Luna , Yuxin Guo , Geraldo F. Oliveira , Mohammad Sadrosadati , Onur Mutlu

Generalised matrix-matrix multiplication forms the kernel of many mathematical algorithms. A faster matrix-matrix multiply immediately benefits these algorithms. In this paper we implement efficient matrix multiplication for large matrices…

Performance · Computer Science 2019-12-11 Douglas Aberdeen , Jonathan Baxter

The ever-increasing quest for data-level parallelism and variable precision in ubiquitous multimedia and Deep Neural Network (DNN) applications has motivated the use of Single Instruction, Multiple Data (SIMD) architectures. To alleviate…

Hardware Architecture · Computer Science 2020-11-03 Zahra Ebrahimi , Salim Ullah , Akash Kumar

Computing-in-memory (CIM) has attracted significant attentions in recent years due to its massive parallelism and low power consumption. However, current CIM designs suffer from large area overhead of small CIM macros and bad programmablity…

Hardware Architecture · Computer Science 2022-05-04 Shu-Hung Kuo , Tian-Sheuan Chang

Matrix-multiplication units (MXUs) are now prevalent in every computing platform. The key attribute that makes MXUs so successful is the semiring structure, which allows tiling for both parallelism and data reuse. Nonetheless,…

Hardware Architecture · Computer Science 2022-09-02 Yunan Zhang , Po-An Tsai , Hung-Wei Tseng

Processing-using-DRAM has been proposed for a limited set of basic operations (i.e., logic operations, addition). However, in order to enable the full adoption of processing-using-DRAM, it is necessary to provide support for more complex…

In this paper, we propose a new trigonometric interpolation algorithm and establish relevant convergent properties. The method adjusts an existing trigonometric interpolation algorithm such that it can better leverage Fast Fourier Transform…

Numerical Analysis · Mathematics 2025-05-06 Xiaorong Zou

Compression algorithms are important for data oriented tasks, especially in the era of Big Data. Modern processors equipped with powerful SIMD instruction sets, provide us an opportunity for achieving better compression performance.…

Information Retrieval · Computer Science 2015-04-15 Wayne Xin Zhao , Xudong Zhang , Daniel Lemire , Dongdong Shan , Jian-Yun Nie , Hongfei Yan , Ji-Rong Wen

Modern hardware architectures for Convolutional Neural Networks (CNNs), other than targeting high performance, aim at dissipating limited energy. Reducing the data movement cost between the computing cores and the memory is a way to…

Hardware Architecture · Computer Science 2025-01-15 Cristian Sestito , Shady Agwa , Themis Prodromakis

Computing-in-memory (CIM) is renowned in deep learning due to its high energy efficiency resulting from highly parallel computing with minimal data movement. However, current SRAM-based CIM designs suffer from long latency for loading…

The Discrete Fourier Transform (DFT) is essential for various applications ranging from signal processing to convolution and polynomial multiplication. The groundbreaking Fast Fourier Transform (FFT) algorithm reduces DFT time complexity…

Hardware Architecture · Computer Science 2023-04-06 Orian Leitersdorf , Yahav Boneh , Gonen Gazit , Ronny Ronen , Shahar Kvatinsky

In current computer architectures, data movement (from die to network) is by far the most energy consuming part of an algorithm (10pJ/word on-die to 10,000pJ/word on the network). To increase memory locality at the hardware level and reduce…

Computational Physics · Physics 2018-01-17 H. Vincenti , R. Lehe , R. Sasanka , J-L. Vay

Converting binary integers to variable-length decimal strings is a fundamental operation in computing. Conventional fast approaches rely on recursive division and small lookup tables. We propose a SIMD-based algorithm that leverages integer…

Data Structures and Algorithms · Computer Science 2026-05-07 Jaël Champagne Gareau , Daniel Lemire

We describe a new C++ library for multiprecision arithmetic for numbers in the order of 100--500 bits, i.e., representable with just a few limbs. The library is written in "optimizing-compiler-friendly" C++, with an emphasis on the use of…

Cryptography and Security · Computer Science 2018-04-20 Niek J. Bouman

Recently DRAM-based PIMs (processing-in-memories) with unmodified cell arrays have demonstrated impressive performance for accelerating AI applications. However, due to the very restrictive hardware constraints, PIM remains an accelerator…

Hardware Architecture · Computer Science 2023-10-17 Jaewoo Park , Sugil Lee , Jongeun Lee

Processing-in-memory (PIM) architectures have demonstrated great potential in accelerating numerous deep learning tasks. Particularly, resistive random-access memory (RRAM) devices provide a promising hardware substrate to build PIM…

Hardware Architecture · Computer Science 2022-02-01 Weidong Cao , Yilong Zhao , Adith Boloor , Yinhe Han , Xuan Zhang , Li Jiang
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