Matrix Inverse Using Cayley-Hamilton with C#. Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Cayley-Hamilton technique ...

Pointers are a powerful feature in C and C++, but they come with risks that can lead to serious issues like NULL pointer crashes. By following these best practices—initializing pointers, checking for ...

In getting rid of matrix multiplication and running their algorithm on custom hardware, the researchers found that they could power a billion-parameter-scale language model on just 13 watts, about ...

In this work we present an original GPU-only parallel matrix-matrix multiplication algorithm (C = αA * B + βC) for servers with multiple GPUs connected by NVLink. The algorithm is implemented using ...

A Laser Focus. In 1986, Strassen had another big breakthrough when he introduced what’s called the laser method for matrix multiplication. Strassen used it to establish an upper value for omega of ...

(But this new record still lags behind the 91 steps that would be required to beat Strassen’s algorithm using 5-by-5 matrices.) The new high-profile result created a lot of excitement, with some ...

The algorithm is able to re-discover older matrix multiplication algorithms and improve upon its own to discover newer and faster algorithms. “AlphaTensor is the first AI system for discovering novel, ...

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 ...