Recent research has explored various aspects of complexity theory, including connections between graph theory and matrix spaces, the computation of determinants, and optimization problems.

DeepMind’s paper also pointed out that AlphaTensor discovers a richer space of matrix multiplication algorithms than previously thought — up to thousands for each size.

It is well known that their approach can also be used to solve the general problem, without affecting the complexity of the algorithm. In this paper, we present an algorithm to solve the economic lot ...

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 ...

Indeed, to date, no practical algorithm for estimating the permanent of a matrix has been devised. It is an open question whether such an algorithm exists. Another open question is whether there is a ...

A procedure is derived for extracting the observed information matrix when the EM algorithm is used to find maximum likelihood estimates in incomplete data problems. The technique requires computation ...