24 citations · 42 across the 6 of their papers we have counts for
6 papers
Integer matrix factorisations, superalgebras and the quadratic form obstruction
Nicholas J. Higham, Matthew C. Lettington, Karl Michael Schmidt
We identify and analyse obstructions to factorisation of integer matrices into products or of matrices with rational or integer entries. The obstructions arise as qua…
A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic
Ahmad Abdelfattah, Hartwig Anzt, Erik G. Boman +22
Within the past years, hardware vendors have started designing low precision special function units in response to the demand of the Machine Learning community and their demand for…
Accurate Computation of the Log-Sum-Exp and Softmax Functions
Pierre Blanchard, Desmond J. Higham, Nicholas J. Higham
Evaluating the log-sum-exp function or the softmax function is a key step in many modern data science algorithms, notably in inference and classification. Because of the exponentia…
Etymo: A New Discovery Engine for AI Research
Weijian Zhang, Jonathan Deakin, Nicholas J. Higham +1
We present Etymo (https://etymo.io), a discovery engine to facilitate artificial intelligence (AI) research and development. It aims to help readers navigate a large number of AI-r…
Computing the Action of Trigonometric and Hyperbolic Matrix Functions
Nicholas J. Higham, Peter Kandolf
We derive a new algorithm for computing the action of the cosine, sine, hyperbolic cosine, and hyperbolic sine of a matrix on a matrix , without first computing $f(A…
Ranking the importance of nuclear reactions for activation and transmutation events
Wayne Arter, J. Guy Morgan, Samuel D. Relton +1
Pathways-reduced analysis is one of the techniques used by the Fispact-II nuclear activation and transmutation software to study the sensitivity of the computed inventories to unce…