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Matrix engines or units, in different forms and affinities, are becoming a reality in modern processors; CPUs and otherwise. The current and dominant algorithmic approach to Deep Learning merits the commercial investments in these units,…

分布式、并行与集群计算 · 计算机科学 2021-03-02 Jens Domke , Emil Vatai , Aleksandr Drozd , Peng Chen , Yosuke Oyama , Lingqi Zhang , Shweta Salaria , Daichi Mukunoki , Artur Podobas , Mohamed Wahib , Satoshi Matsuoka

Distributed Computation has been a recent trend in engineering research. Parallel Computation is widely used in different areas of Data Mining, Image Processing, Simulating Models, Aerodynamics and so forth. One of the major usage of…

分布式、并行与集群计算 · 计算机科学 2017-03-28 C Rashmi

Specialized function gradient computing hardware could greatly improve the performance of state-of-the-art optimization algorithms, e.g., based on gradient descent or conjugate gradient methods that are at the core of control, machine…

Classical optimization algorithms in machine learning often take a long time to compute when applied to a multi-dimensional problem and require a huge amount of CPU and GPU resource. Quantum parallelism has a potential to speed up machine…

量子物理 · 物理学 2019-11-21 Venkat R. Dasari , Mee Seong Im , Lubjana Beshaj

Matrix multiplication (hereafter we use the acronym MM) is among the most fundamental operations of modern computations. The efficiency of its performance depends on various factors, in particular vectorization, data movement and arithmetic…

数据结构与算法 · 计算机科学 2015-02-09 Victor Y. Pan

In this chapter, we show why parallel MATLAB is useful, provide a comparison of the different parallel MATLAB choices, and describe a number of applications in Signal and Image Processing: Audio Signal Processing, Synthetic Aperture Radar…

分布式、并行与集群计算 · 计算机科学 2017-01-25 Ashok Krishnamurthy , Siddharth Samsi , Vijay Gadepally

Matrix-matrix multiplication is a key computational kernel for numerous applications in science and engineering, with ample parallelism and data locality that lends itself well to high-performance implementations. Many matrix…

硬件体系结构 · 计算机科学 2019-06-12 Yaman Umuroglu , Davide Conficconi , Lahiru Rasnayake , Thomas B. Preusser , Magnus Sjalander

Researchers working on the automatic parallelization of programs have long known that too much parallelism can be even worse for performance than too little, because spawning a task to be run on another CPU incurs overheads.…

编程语言 · 计算机科学 2011-09-08 Paul Bone , Zoltan Somogyi , Peter Schachte

Driven by deep learning, there has been a surge of specialized processors for matrix multiplication, referred to as TensorCore Units (TCUs). These TCUs are capable of performing matrix multiplications on small matrices (usually 4x4 or…

性能 · 计算机科学 2019-11-26 Abdul Dakkak , Cheng Li , Isaac Gelado , Jinjun Xiong , Wen-mei Hwu

We give an overview of the theoretical results for matrix block-recursive algorithms in commutative domains and present the results of experiments that we conducted with new parallel programs based on these algorithms on a supercomputer…

符号计算 · 计算机科学 2019-03-12 Gennadi Malaschonok , Evgeni Ilchenko

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…

机器学习 · 计算机科学 2021-08-17 Davis Blalock , John Guttag

Matrix multiplication consumes a large fraction of the time taken in many machine-learning algorithms. Thus, accelerator chips that perform matrix multiplication faster than conventional processors or even GPU's are of increasing interest.…

数据结构与算法 · 计算机科学 2023-07-06 Daniel Cussen , Jeffrey D. Ullman

Deep reinforcement learning has led to dramatic breakthroughs in the field of artificial intelligence for the past few years. As the amount of rollout experience data and the size of neural networks for deep reinforcement learning have…

机器学习 · 计算机科学 2024-11-11 Zhihong Liu , Xin Xu , Peng Qiao , Dongsheng Li

This paper addresses the problem of parallelizing computations to study non-linear dynamics in large networks of non-locally coupled oscillators using heterogeneous computing resources. The proposed approach can be applied to a variety of…

混沌动力学 · 物理学 2025-07-04 Oleksandr Sudakov , Volodymyr Maistrenko

Edge computing's growing prominence, due to its ability to reduce communication latency and enable real-time processing, is promoting the rise of high-performance, heterogeneous System-on-Chip solutions. While current approaches often…

人工智能 · 计算机科学 2024-09-24 Rakshith Jayanth , Neelesh Gupta , Viktor Prasanna

Large-scale floating-point matrix multiplication is a fundamental kernel in many scientific and engineering applications. Most existing work only focus on accelerating matrix multiplication on FPGA by adopting a linear systolic array. This…

硬件体系结构 · 计算机科学 2018-03-13 Junzhong Shen , Yuran Qiao , You Huang , Mei Wen , Chunyuan Zhang

Matrix completion is one of the key problems in signal processing and machine learning. In recent years, deep-learning-based models have achieved state-of-the-art results in matrix completion. Nevertheless, they suffer from two drawbacks:…

机器学习 · 计算机科学 2018-12-05 Duc Minh Nguyen , Evaggelia Tsiligianni , Nikos Deligiannis

Most, if not all the modern scientific simulation packages utilize matrix algebra operations. Among the operation of the linear algebra, one of the most important kernels is the multiplication of matrices, dense and sparse. Examples of…

分布式、并行与集群计算 · 计算机科学 2019-10-14 Ilia Sivkov , Alfio Lazzaro , Juerg Hutter

The parallel and distributed processing are becoming de facto industry standard, and a large part of the current research is targeted on how to make computing scalable and distributed, dynamically, without allocating the resources on…

分布式、并行与集群计算 · 计算机科学 2024-04-10 Rajendra Purohit , K R Chowdhary , S D Purohit

It is well known that Strassen and Winograd algorithms can reduce the computational costs associated with dense matrix multiplication. We have already shown that they are also very effective for software-based multiple precision…

数值分析 · 数学 2016-05-16 Tomonori Kouya