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This paper introduces a novel 32-bit microprocessor, based on the RISC-V instruction set architecture, is designed,utilising a dynamic clock source to achieve high efficiency, overcoming the limitations of hardware delays. In addition, the…

Hardware Architecture · Computer Science 2022-11-29 Keyu Chen , Xuyi Hu , Robert Killey

Power ISA(TM) Version 3.1 has introduced a new family of matrix math instructions, collectively known as the Matrix-Multiply Assist (MMA) facility. The instructions in this facility implement numerical linear algebra operations on small…

Digital memristive processing-in-memory overcomes the memory wall through a fundamental storage device capable of stateful logic within crossbar arrays. Dynamically dividing the crossbar arrays by adding memristive partitions further…

Hardware Architecture · Computer Science 2022-06-10 Orian Leitersdorf , Ronny Ronen , Shahar Kvatinsky

HalftimeHash is a new algorithm for hashing long strings. The goals are few collisions (different inputs that produce identical output hash values) and high performance. Compared to the fastest universal hash functions on long strings…

Data Structures and Algorithms · Computer Science 2021-04-22 Jim Apple

Clustering is inherently ill-posed: there often exist multiple valid clusterings of a single dataset, and without any additional information a clustering system has no way of knowing which clustering it should produce. This motivates the…

Artificial Intelligence · Computer Science 2018-01-31 Toon Van Craenendonck , Sebastijan Dumancic , Hendrik Blockeel

The multiplication of matrices is an important arithmetic operation in computational mathematics. In the context of hierarchical matrices, this operation can be realized by the multiplication of structured block-wise low-rank matrices,…

Numerical Analysis · Mathematics 2018-05-24 Jürgen Dölz , Helmut Harbrecht , Michael D. Multerer

In recent years, due to a higher demand for portable devices, which provide restricted amounts of processing capacity and battery power, the need for energy and time efficient hard- and software solutions has increased. Preliminary…

Image and Video Processing · Electrical Eng. & Systems 2022-03-04 Christian Herglotz , Jürgen Seiler , André Kaup , Arne Hendricks , Marc Reichenbach , Dietmar Fey

Granlund and Montgomery proposed an optimization method for unsigned integer division by constants [3]. Their method (called the GM method in this paper) was further improved in part by works such as [1] and [7], and is now adopted by major…

Programming Languages · Computer Science 2026-04-10 Shigeo Mitsunari , Takashi Hoshino

In today's era of "scale-out", this paper makes the case that a specialized hardware architecture based on "scale-in"--placing as many specialized processors as possible along with their memory systems and interconnect links within one or…

Hardware Architecture · Computer Science 2020-09-14 Suresh Krishna , Ravi Krishna

Matrix multiplication is integral to various scientific and engineering disciplines, including machine learning, image processing, and gaming. With the increasing data volumes in areas like machine learning, the demand for efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-29 Temitayo Adefemi

As it stands, density matrix purification is a powerful tool for linear scaling electronic structure calculations. The convergence is rapid and depends only weakly on the band gap. However, as will be shown in this paper, there is room for…

Computational Physics · Physics 2011-05-11 Emanuel H. Rubensson

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

High-performance, multi-core processors are the key to accelerating workloads in several application domains. To continue to scale performance at the limit of Moore's Law and Dennard scaling, software and hardware designers have turned to…

Hardware Architecture · Computer Science 2023-10-27 Changxi Liu , Alen Sabu , Akanksha Chaudhari , Qingxuan Kang , Trevor E. Carlson

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

Elliptic curve cryptography (ECC) is widely used in security applications such as public key cryptography (PKC) and zero-knowledge proofs (ZKP). ECC is composed of modular arithmetic, where modular multiplication takes most of the…

Hardware Architecture · Computer Science 2024-02-23 Jonathan Ku , Junyao Zhang , Haoxuan Shan , Saichand Samudrala , Jiawen Wu , Qilin Zheng , Ziru Li , JV Rajendran , Yiran Chen

While transistor density is still increasing, clock speeds are not, motivating the search for new parallel architectures. One approach is to completely abandon the concept of CPU -- and thus serial imperative programming -- and instead to…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-24 Harry Fitchett , Charles Fox

Matrix multiplication is a very important computation kernel both in its own right as a building block of many scientific applications and as a popular representative for other scientific applications. Cannon algorithm which dates back to…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-19 Jean-Noel Quintin , Khalid Hasanov , Alexey Lastovetsky

Multiplying matrices is among the most fundamental and compute-intensive operations in machine learning. Consequently, there has been significant work on efficiently approximating matrix multiplies. We introduce a learning-based algorithm…

Machine Learning · Computer Science 2021-08-17 Davis Blalock , John Guttag

Porting applications to new hardware or programming models is a tedious and error prone process. Every help that eases these burdens is saving developer time that can then be invested into the advancement of the application itself instead…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-07 Erik Zenker , Benjamin Worpitz , René Widera , Axel Huebl , Guido Juckeland , Andreas Knüpfer , Wolfgang E. Nagel , Michael Bussmann

Recently, the demand of low-power deep-learning hardware for industrial applications has been increasing. Most existing artificial intelligence (AI) chips have evolved to rely on new chip technologies rather than on radically new hardware…

Machine Learning · Computer Science 2020-02-14 Byungik Ahn