Randomization of Approximate Bilinear Computation for Matrix Multiplication

May 17, 2019 Β· Declared Dead Β· πŸ› International Journal of Computer Mathematics Computer Systems Theory

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Authors Osman Asif Malik, Stephen Becker arXiv ID 1905.07439 Category cs.DS: Data Structures & Algorithms Cross-listed math.NA Citations 2 Venue International Journal of Computer Mathematics Computer Systems Theory Last Checked 4 months ago
Abstract
We present a method for randomizing formulas for bilinear computation of matrix products. We consider the implications of such randomization when there are two sources of error: One due to the formula itself only being approximately correct, and one due to using floating point arithmetic. Our theoretical results and numerical experiments indicate that our method can improve performance when each of these error sources are present individually, as well as when they are present at the same time.
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