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Computer scientists have discovered a new way to multiply large matrices faster by eliminating a previously unknown inefficiency, leading to the largest improvement in matrix multiplication efficiency ...
The ' Strassen's algorithm ' announced in 1969 is widely known as an algorithm for calculating the matrix product at high speed.
What do encrypted messages, recognizing speech commands and running simulations to predict the weather have in common? They all rely on matrix multiplication for accurate calculations. DeepMind, an ...
High-performance matrix multiplication remains a cornerstone of numerical computing, underpinning a wide array of applications from scientific simulations to machine learning.
So if you do 32x32 with the naive algorithm, and 64x64 with strassen, you save ONE n^3 matrix multiplication and lose EIGHTEEN n^2 matrix additions with n = 32 for a massive overall saving.
The technique, the Schönhage–Strassen algorithm, which “predicted that there should exist an algorithm that multiples n-digit numbers using essentially n*log (n) basic operations ...
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