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快速矩阵乘法中通信成本的图形扩展分析

Graph Expansion Analysis for Communication Costs of Fast Rectangular Matrix Multiplication

作者:Grey Ballard;James Demmel;Olga Holtz;Benjamin Lipshitz;Oded Schwartz 作者单位:University of California at Berkeley 加工时间:2013-11-20 信息来源:EECS 索取原文[19 页]
关键词:图形扩展分析计算;通信成本;矩阵乘法
摘 要:Graph expansion analysis of computational DAGs is useful for obtaining communication cost lower bounds where previous methods, such as geometric embedding, are not applicable. This has recently been demonstrated for Strassen's and Strassen-like fast square matrix multiplication algorithms. Here we extend the expansion analysis approach to fast algorithms for rectangular matrix multiplication,obtaining a new class of communication cost lower bounds.
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