no code implementations • 9 Feb 2022 • Paterne Gahungu, Christopher W Lanyon, Mauricio A Alvarez, Engineer Bainomugisha, Michael Smith, Richard D. Wilkinson
In this paper we show how the adjoint of a linear system can be used to efficiently infer forcing functions modelled as GPs, using a truncated basis expansion of the GP kernel.
no code implementations • 22 Apr 2020 • Sam Coveney, Cesare Corrado, Caroline H Roney, Daniel O'Hare, Steven E Williams, Mark D O'Neill, Steven A. Niederer, Richard H Clayton, Jeremy E. Oakley, Richard D. Wilkinson
Here, we build upon a recent insight into reduced-rank Gaussian processes (GP) to perform probabilistic interpolation of uncertain LAT directly on human atrial manifolds.
1 code implementation • 13 Jan 2020 • Chon Lok Lei, Sanmitra Ghosh, Dominic G. Whittaker, Yasser Aboelkassem, Kylie A. Beattie, Chris D. Cantwell, Tammo Delhaas, Charles Houston, Gustavo Montes Novaes, Alexander V. Panfilov, Pras Pathmanathan, Marina Riabiz, Rodrigo Weber dos Santos, John Walmsley, Keith Worden, Gary R. Mirams, Richard D. Wilkinson
Uncertainty quantification (UQ) is a vital step in using mathematical models and simulations to take decisions.
no code implementations • 7 Jan 2014 • Richard D. Wilkinson
Approximate Bayesian computation (ABC) methods are used to approximate posterior distributions using simulation rather than likelihood calculations.