Brief Announcement: Faster Stencil Computations using Gaussian Approximations

被引：3
|
作者：
Ahmad, Zafar [1 ]
Chowdhury, Rezaul [1 ]
Das, Rathish [2 ]
Ganapathi, Pramod [1 ]
Gregory, Aaron [1 ]
Zhu, Yimin [1 ]
机构：
[1] SUNY Stony Brook, Stony Brook, NY 11794 USA
[2] Univ Waterloo, Waterloo, ON N2L 3G1, Canada
来源：
PROCEEDINGS OF THE 34TH ACM SYMPOSIUM ON PARALLELISM IN ALGORITHMS AND ARCHITECTURES, SPAA 2022 | 2022年
基金：
加拿大自然科学与工程研究理事会;
关键词：
Linear Stencil; Gaussian Approximation; Fast Gauss Transform; FINITE-DIFFERENCE;
D O I：
10.1145/3490148.3538558
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
Stencil computations are widely used to simulate the change of state of physical systems. The current best algorithm for performing aperiodic linear stencil computations on a d(>= 1)-dimensional grid of size N for T timesteps does (Theta) over tilde (TN1-1/d + N log N) work. We introduce novel techniques based on random walks and Gaussian approximations for an asymptotic improvement of this work bound for a class of linear stencils. We also improve the span (i.e., parallel running time on an unbounded number of processors) asymptotically from the current state of the art.
引用
收藏
页码：291 / 293
页数：3
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