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In several fields such as statistics, machine learning, and bioinformatics, categorical variables are frequently represented as one-hot encoded vectors. For example, given 8 distinct values, we map each value to a byte where only a single…

Data Structures and Algorithms · Computer Science 2021-08-19 Marcus D. R. Klarqvist , Wojciech Muła , Daniel Lemire

Counting the number of ones in a binary stream is a common operation in database, information-retrieval, cryptographic and machine-learning applications. Most processors have dedicated instructions to count the number of ones in a word…

Data Structures and Algorithms · Computer Science 2018-09-07 Wojciech Muła , Nathan Kurz , Daniel Lemire

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

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

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

Two essential problems in Computer Algebra, namely polynomial factorization and polynomial greatest common divisor computation, can be efficiently solved thanks to multiple polynomial evaluations in two variables using modular arithmetic.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-27 Pierre Fortin , Ambroise Fleury , François Lemaire , Michael Monagan

This paper presents an implementation of a floating-point-capable application-specific instruction set processor (ASIP) for both communication and positioning tasks using the massive multiple-input multiple-output (MIMO) technology. The…

Hardware Architecture · Computer Science 2025-02-17 Mohammad Attari , Ove Edfors , Liang Liu

We have developed a highly-tuned software library that accelerates the calculation of quadrupole terms in the Barnes-Hut tree code by use of a SIMD instruction set on the x86 architecture, Advanced Vector eXtensions 2 (AVX2). Our code is…

Instrumentation and Methods for Astrophysics · Physics 2019-02-13 Tetsushi Kodama , Tomoaki Ishiyama

The prefix sum operation is a useful primitive with a broad range of applications. For database systems, it is a building block of many important operators including join, sort and filter queries. In this paper, we study different methods…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-25 Wangda Zhang , Yanbin Wang , Kenneth A. Ross

Searching for all occurrences of a pattern in a text is a fundamental problem in computer science with applications in many other fields, like natural language processing, information retrieval and computational biology. In the last two…

Information Retrieval · Computer Science 2012-10-01 Simone Faro , M. Oguzhan Külekci

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

The recent advances in machine learning, in general, and Artificial Neural Networks (ANN), in particular, has made smart embedded systems an attractive option for a larger number of application areas. However, the high computational…

Hardware Architecture · Computer Science 2023-09-06 Suresh Nambi , Salim Ullah , Aditya Lohana , Siva Satyendra Sahoo , Farhad Merchant , Akash Kumar

This paper presents software implementations of batch computations, dealing with multi-precision integer operations. In this work, we use the Single Instruction Multiple Data (SIMD) AVX512 instruction set of the x86-64 processors, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-25 Laurent-Stéphane Didier , Nadia Mrabet , Léa Glandus , Jean-Marc Robert

Sorted lists of integers are commonly used in inverted indexes and database systems. They are often compressed in memory. We can use the SIMD instructions available in common processors to boost the speed of integer compression schemes. Our…

Information Retrieval · Computer Science 2020-04-22 Daniel Lemire , Leonid Boytsov , Nathan Kurz

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

With high computation power and memory bandwidth, graphics processing units (GPUs) lend themselves to accelerate data-intensive analytics, especially when such applications fit the single instruction multiple data (SIMD) model. However,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-12 Hang Liu , H. Howie Huang

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 accelerate the 4-bit product quantization (PQ) on the ARM architecture. Notably, the drastic performance of the conventional 4-bit PQ strongly relies on x64-specific SIMD register, such as AVX2; hence, we cannot yet achieve such good…

Machine Learning · Computer Science 2022-03-08 Yusuke Matsui , Yoshiki Imaizumi , Naoya Miyamoto , Naoki Yoshifuji

Large-number arithmetic, widely used in scientific computing and cryptography, has seen limited adoption of single instruction, multiple data (SIMD) parallelism on modern CPUs due to the inherent dependencies in traditional algorithms. We…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-27 Subhrajit Das , Abhishek Bichhawat , Yuvraj Patel

The growing demand for edge-AI systems requires arithmetic units that balance numerical precision, energy efficiency, and compact hardware while supporting diverse formats. Posit arithmetic offers advantages over floating- and fixed-point…

Hardware Architecture · Computer Science 2026-01-27 Sonu Kumar , Lavanya Vinnakota , Mukul Lokhande , Santosh Kumar Vishvakarma , Adam Teman
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