Probability and Statistics Group research at the School of Mathematical and Computer Sciences at Heriot-Watt University, Edinburgh.

Linear algebra is essential for understanding core data science concepts like machine learning, neural networks, and data transformations.D ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I ...

Riccati matrix equation (RME), a critical nonlinear matrix equation in autonomous driving and deep learning. However, memory-compute separation in traditional solving systems leads to latency and ...

In this work, we describe the development of a new algorithm for the computation of Coulomb-type matrices using the well-known resolution of the identity (RI) or density fitting (DF) approximation.

The Response Factor is the signal per unit concentration for an individual compound. Most detectors do not provide an equal response for different compounds at the same concentration, so Response ...

Linear solver failure. Failed to compute a step: CHOLMOD warning: Matrix not positive definite. #73 ...

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

Matrix multiplications (MatMul) are the most computationally expensive operations in large language models (LLM) using the Transformer architecture. As LLMs scale to larger sizes, the cost of ...

Linear algebra and matrix theory by Gilbert, Jimmie, 1934- Publication date 1995 Topics Algebras, Linear, Matrices Publisher San Diego : Academic Press Collection internetarchivebooks; printdisabled ...

Matrix Riccati equations can be used to solve some optimal control problem, for instance the Linear Quadratic Regulator (LQR) problem. Recall that the general analytical solutions for the matrix ...