With AlphaTensor, DeepMind Technologies has presented an AI system that is supposed to independently find novel, efficient and provably correct algorithms for complex mathematical tasks. AlphaTensor ...

Abstract: While the Karatsuba algorithm reduces the complexity of large integer multiplication, the extra additions required minimize its benefits for smaller integers of more commonly-used bitwidths.

Discovering faster algorithms for matrix multiplication remains a key pursuit in computer science and numerical linear algebra. Since the pioneering contributions of Strassen and Winograd in the late ...

Standard matrix multiplication with parallel processing Strassen's algorithm for large matrices Automatic optimization between standard and Strassen's algorithm Support for matrices of any size ...

--- COSINE --- --- COSINE --- Monte Carlo: cos(2) = -0.4076676776596233 Deterministic: cos(2) = -0.4161468365471424 --- SQUARE ROOT --- Monte Carlo: sqrt(4) = 1. ...

Matrix multiplication is at the heart of many machine learning breakthroughs, and it just got faster—twice. Last week, DeepMind announced it discovered a more efficient way to perform matrix ...

Abstract: Dense matrix-matrix multiplication algorithm is widely used in large scientific applications, and often it is an important factor of the overall performance of the application. Therefore, ...