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6 papers · 2 filters
A Bayesian Dynamic Graphical Model for Recurrent Events in Public Health
Aditi Shenvi, Jim Q. Smith
To analyze the impacts of certain types of public health interventions we need to estimate the treatment effects and outcomes as these apply to heterogeneous open populations. Dyna…
Shrinkage estimation of large covariance matrices using multiple shrinkage targets
Harry Gray, Gwenaël G. R. Leday, Catalina A. Vallejos +1
Linear shrinkage estimators of a covariance matrix --- defined by a weighted average of the sample covariance matrix and a pre-specified shrinkage target matrix --- are popular whe…
On the Bayesian Solution of Differential Equations
Junyang Wang, Jon Cockayne, Chris Oates
The interpretation of numerical methods, such as finite difference methods for differential equations, as point estimators allows for formal statistical quantification of the error…
A Bayes-Sard Cubature Method
Toni Karvonen, Chris J. Oates, Simo Särkkä
This paper focusses on the formulation of numerical integration as an inferential task. To date, research effort has largely focussed on the development of Bayesian cubature, whose…
Stochastic Modelling of Urban Structure
L. Ellam, M. Girolami, G. A. Pavliotis +1
The building of mathematical and computer models of cities has a long history. The core elements are models of flows (spatial interaction) and the dynamics of structural evolution.…
A Bayesian Conjugate Gradient Method
Jon Cockayne, Chris Oates, Ilse Ipsen +1
A fundamental task in numerical computation is the solution of large linear systems. The conjugate gradient method is an iterative method which offers rapid convergence to the solu…