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In this video, we delve into the fascinating world of big number multiplication and explore how computers perform this task ...
They explained how to use the recently published fast Fourier transform (FFT) to multiply huge numbers efficiently.
To help you understand the algorithm, the video shows a simple two-digit by two-digit multiplication. You can see that the first and last digits are essentially the result of one multiplication.
Those algorithms run up to 20% faster than existing matrix multiplication methods, according to the Alphabet unit.
Fawzi explained the novelty of AlphaTensor, and how it is able to improve over time despite no knowledge on existing algorithms at the start. The algorithm is able to re-discover older matrix ...
Karatsuba’s divide-and-conquer multiplication algorithm takes advantage of this saving. Consider a multiplication algorithm that parallels the way multiplication of complex numbers works.
High-performance matrix multiplication remains a cornerstone of numerical computing, underpinning a wide array of applications from scientific simulations to machine learning. Researchers ...
DeepMind breaks 50-year math record using AI; new record falls a week later AlphaTensor discovers better algorithms for matrix math, inspiring another improvement from afar.
Even for computers, the long multiplication algorithm, defined as n to the power of, could reportedly take months if each number had a billion digits.