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Fast Matrix Multiplication in fp8: Certified Coefficient Optimization and Measured Error

Xie, Shuxiao et al.
arXiv (All) · Papers
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numerical-analysis
A Strassen-type algorithm has many realizations with the same exact product and multiplication count yet different fp8 error because basis changes reshape coefficient geometry, posing the question of which to run. No current account settles this: classical stability controls worst-case $\ell_1$ grow
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