We further showcase the flexibility of AlphaTensor through different use-cases: algorithms with state-of-the-art complexity for structured matrix multiplication and improved practical efficiency by ...

A new research paper titled “Discovering faster matrix multiplication algorithms with reinforcement learning” was published by researchers at DeepMind. “Here we report a deep reinforcement learning ...

Hacking Multiplication With Karatsuba’s Algorithm 8 Comments by: Al Williams November 16, 2021 ...

By transforming operands into a Montgomery domain, these algorithms enable efficient modular multiplication and exponentiation, which are crucial for public-key cryptosystems.

Matrix multiplication is a fundamental operation in machine learning, and is one of the most time-consuming, due to the extensive use of multiply-add instructions.

To this end, [Ken Shirriff] set about reverse engineering the 8086’s multiplication algorithm. [Ken]’s efforts were achieved by using die photos of the 8086 chip.

Karatsuba’s “divide-and-conquer” multiplication algorithm has its roots in a method that Carl Friedrich Gauss (1777-1855) introduced involving the multiplication of complex numbers.

Complexity theorists sort problems into categories, called complexity classes, based on the resource demands of the best algorithms for solving them—that is, the algorithms that run fastest or ...