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Modern hardware design trends have shifted towards specialized hardware acceleration for computationally intensive tasks like machine learning and computer vision. While these complex workloads can be accelerated by commercial GPUs,…

Hardware Architecture · Computer Science 2021-08-06 Caleb Terrill , Fred Chu

This paper discusses the potential of graphics processing units (GPUs) in high-dimensional optimization problems. A single GPU card with hundreds of arithmetic cores can be inserted in a personal computer and dramatically accelerates many…

Computation · Statistics 2015-03-13 Hua Zhou , Kenneth Lange , Marc A. Suchard

We present novel algorithmic solutions together with implementation details utilizing non-Abelian symmetries in order to boost the current limits of tensor network state algorithms on high performance computing infrastructure. In our…

Computational Physics · Physics 2023-10-02 Andor Menczer , Örs Legeza

We describe an efficient implementation of a hierarchy of algorithms for multiplication of dense matrices over the field with two elements (GF(2)). In particular we present our implementation -- in the M4RI library -- of Strassen-Winograd…

Mathematical Software · Computer Science 2012-03-27 Martin Albrecht , Gregory Bard , William Hart

With rapidly evolving technology, multicore and manycore processors have emerged as promising architectures to benefit from increasing transistor numbers. The transition towards these parallel architectures makes today an exciting time to…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-01 Ashkan Tousimojarad , Wim Vanderbauwhede

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

The trend towards highly parallel multi-processing is ubiquitous in all modern computer architectures, ranging from handheld devices to large-scale HPC systems; yet many applications are struggling to fully utilise the multiple levels of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-19 Michael Lange , Gerard Gorman , Michele Weiland , Lawrence Mitchell , Xiaohu Guo , James Southern

Modern GPUs are able to perform significantly more arithmetic operations than transfers of a single word to or from global memory. Hence, many GPU kernels are limited by memory bandwidth and cannot exploit the arithmetic power of GPUs.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-13 J. Filipovič , M. Madzin , J. Fousek , L. Matyska

The configurable building blocks of current FPGAs -- Logic blocks (LBs), Digital Signal Processing (DSP) slices, and Block RAMs (BRAMs) -- make them efficient hardware accelerators for the rapid-changing world of Deep Learning (DL).…

Hardware Architecture · Computer Science 2021-10-01 Aman Arora , Bagus Hanindhito , Lizy K. John

This research investigates using a mixed-precision iterative refinement method using posit numbers instead of the standard IEEE floating-point format. The method is applied to solve a general linear system represented by the equation $Ax =…

Numerical Analysis · Mathematics 2024-08-28 James Quinlan , E. Theodore L. Omtzigt

Quantum bits have technological imperfections. Additionally, the capacity of a component that can be implemented feasibly is limited. Therefore, distributed quantum computation is required to scale up quantum computers. This dissertation…

Quantum Physics · Physics 2017-04-11 Shota Nagayama

We investigate and characterize the performance of an important class of operations on GPUs and Many Integrated Core (MIC) architectures. Our work is motivated by applications that analyze low-dimensional spatial datasets captured by high…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-05 George Teodoro , Tahsin Kurc , Jun Kong , Lee Cooper , Joel Saltz

In scientific computing, it is common that a mathematical expression can be computed by many different algorithms (sometimes over hundreds), each identifying a specific sequence of library calls. Although mathematically equivalent, those…

Performance · Computer Science 2021-09-15 Aravind Sankaran , Paolo Bientinesi

Deep neural networks have enabled progress in a wide variety of applications. Growing the size of the neural network typically results in improved accuracy. As model sizes grow, the memory and compute requirements for training these models…

It has been widely accepted that Graphics Processing Units (GPU) is one of promising schemes for encryption acceleration, in particular, the support of complex mathematical calculations such as integer and logical operations makes the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-15 Canhui Wang , Xiaowen Chu

A finite-difference Micromagnetic simulation code written in MATLAB is presented with Graphics Processing Unit (GPU) acceleration. The high performance of Graphics Processing Unit (GPU) is demonstrated compared to a typical Central…

Computational Engineering, Finance, and Science · Computer Science 2015-01-30 Ru Zhu

Efficient number representation is essential for federated learning, natural language processing, and network measurement solutions. Due to timing, area, and power constraints, such applications use narrow bit-width (e.g., 8-bit) number…

Networking and Internet Architecture · Computer Science 2024-10-08 Itamar Cohen , Gil Einziger

Current computers operate at enormous speeds of ~10^13 bits/s, but their principle of sequential logic operation has remained unchanged since the 1950s. Though our brain is much slower on a per-neuron base (~10^3 firings/s), it is capable…

Emerging Technologies · Computer Science 2015-05-30 Anirban Bandyopadhyay , Ranjit Pati , Satyajit Sahu , Ferdinand Peper , Daisuke Fujita

In-memory computing is a promising alternative to traditional computer designs, as it helps overcome performance limits caused by the separation of memory and processing units. However, many current approaches struggle with unreliable…

In this paper, we report the results obtained from the acceleration of multi-binary64-type multiple precision matrix multiplication with AVX2. We target double-double (DD), triple-double (TD), and quad-double (QD) precision arithmetic…

Numerical Analysis · Mathematics 2021-09-14 Tomonori Kouya