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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

Modern processors have instructions to process 16 bytes or more at once. These instructions are called SIMD, for single instruction, multiple data. Recent advances have leveraged SIMD instructions to accelerate parsing of common Internet…

Data Structures and Algorithms · Computer Science 2025-06-05 Daniel Lemire

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

Multi-scalar multiplication (MSM) is crucial in cryptographic applications and computationally intensive in zero-knowledge proofs. MSM involves accumulating the products of scalars and points on an elliptic curve over a 377-bit modulus, and…

Hardware Architecture · Computer Science 2025-02-18 Ayumi Ohno , Kotaro Shimamura , Shinya Takamaeda-Yamazaki

Matrix multiplications between asymmetric bit-width operands, especially between 8- and 4-bit operands are likely to become a fundamental kernel of many important workloads including neural networks and machine learning. While existing SIMD…

Machine Learning · Computer Science 2020-08-04 Dibakar Gope , Jesse Beu , Matthew Mattina

Computational intensity and sequential nature of estimation techniques for Bayesian methods in statistics and machine learning, combined with their increasing applications for big data analytics, necessitate both the identification of…

Computation · Statistics 2015-03-02 Alireza S. Mahani , Mansour T. A. Sharabiani

Many applications in Bayesian statistics are extremely computationally intensive. However, they are often inherently parallel, making them prime targets for modern massively parallel processors. Multi-core and distributed computing is…

Computation · Statistics 2021-05-10 David J. Warne , Scott A. Sisson , Christopher Drovandi

We extend recent 256 SSE vector work to 512 AVX giving a four fold speedup. We use MAGPIE (Machine Automated General Performance Improvement via Evolution of software) to speedup a C++ linear genetic programming interpreter. Local search is…

Neural and Evolutionary Computing · Computer Science 2025-12-11 William B. Langdon

Compression can sometimes improve performance by making more of the data available to the processors faster. We consider the compression of integer keys in a B+-tree index. For this purpose, systems such as IBM DB2 use variable-byte…

Databases · Computer Science 2017-01-18 Daniel Lemire , Christoph Rupp

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

The paper presents a systematic study and implementation of a reconfigurable combinatorial multi-operand adder for use in Deep Learning systems. The size of carry changes with the number of operands and hence a reliable algorithm to…

Hardware Architecture · Computer Science 2020-08-10 Shilpa Mayannavar , Uday Wali

This paper presents another improved version of Plantard arithmetic that could speed up Kyber implementations on two low-end 32-bit IoT platforms (ARM Cortex-M3 and RISC-V) without SIMD extensions. Specifically, we further enlarge the input…

Computers and Society · Computer Science 2024-02-20 Junhao Huang , Haosong Zhao , Jipeng Zhang , Wangchen Dai , Lu Zhou , Ray C. C. Cheung , Cetin Kaya Koc , Donglong Chen

In this paper, an improved GEF fast addition algorithm is proposed. The proposed algorithm reduces time and memory space. In this algorithm, carry is calculated on the basis of arrival timing of the operand's bits without overhead of…

Data Structures and Algorithms · Computer Science 2013-04-09 Md. Mizanur Rahman , Md. Shahadat Hossain , Md. Rakib Hasan , M. M. A. Hashem

Hardware/Software (HW/SW) co-designed processors provide a promising solution to the power and complexity problems of the modern microprocessors by keeping their hardware simple. Moreover, they employ several runtime optimizations to…

Hardware Architecture · Computer Science 2021-03-01 Rakesh Kumar , Alejandro Martinez , Antonio Gonzalez

This paper describes a new accumulate-and-add multiplication algorithm. The method partitions one of the operands and re-combines the results of computations done with each of the partitions. The resulting design turns-out to be both…

Mathematical Software · Computer Science 2011-04-11 Byungchun Chung , Sandra Marcello , Amir-Pasha Mirbaha , David Naccache , Karim Sabeg

This paper provides an introduction to the design of augmented data structures that offer an efficient representation of a mathematical sequence and fast sequential summation algorithms, which guarantee both logarithmic running time and…

Data Structures and Algorithms · Computer Science 2014-04-08 Vadim Stadnik

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

Rivest-Shamir-Adleman (RSA) cryptosystem uses modular multiplication for encryption and decryption. So, performance of RSA can be drastically improved by optimizing modular multiplication. This paper proposes a new parallel, high-radix…

Hardware Architecture · Computer Science 2020-09-09 Javad Bagherzadeh , Vishishtha Bothra , Disha Gujar , Sugandha Gupta , Jinal Shah

Stochastic computing (SC) offers hardware simplicity but suffers from low throughput, while high-throughput Digital Computing-in-Memory (DCIM) is bottlenecked by costly adder logic for matrix-vector multiplication (MVM). To address this…

Hardware Architecture · Computer Science 2026-01-13 Kunming Shao , Liang Zhao , Jiangnan Yu , Zhipeng Liao , Xiaomeng Wang , Yi Zou , Tim Kwang-Ting Cheng , Chi-Ying Tsui

In cryptographic algorithms, the constants to be multiplied by a variable can be very large due to security requirements. Thus, the hardware complexity of such algorithms heavily depends on the design architecture handling large constants.…

Cryptography and Security · Computer Science 2023-09-13 Levent Aksoy , Debapriya Basu Roy , Malik Imran , Samuel Pagliarini