The communication cost of algorithms (also known as I/O-complexity) is shown to be closely related to the expansion properties of the corresponding computation graphs. We demonstrate this on Strassen's and other fast matrix multiplication algorithms, and obtain the first lower bounds on their communication costs. For sequential algorithms these bounds are attainable and so tight.
Title
Graph Expansion and Communication Costs of Fast Matrix Multiplication
Published
EECS Department, University of California, University of California at Berkeley, Berkeley, California, May 6, 2011
Full Collection Name
Electrical Engineering & Computer Sciences Technical Reports
Other Identifiers
EECS-2011-40
Type
Text
Extent
13 p
Archive
The Engineering Library
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