Abstract: In control theory using the state-space method, it is often assumed that a matrix is of full rank to further mathematical development. Few people stop to ask two questions: (1) How far is ...

This repository demonstrates a powerful, classical linear algebra technique—low-rank approximation via Singular Value Decomposition (SVD)—to dramatically accelerate common matrix operations like GEMM ...

Google’s DeepMind has been using applied reinforced learning techniques to the multiplication of mathematical matrices and can do it better than some 50 year-old human-made algorithms. Bored with ...

In this paper we consider the estimation of the expectation vector Xβ under the general linear model {y,Xβ,σ 2V}. We introduce a new handy representation for the rank of the difference of the ...

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 ...