25 citations · 125 across the 21 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.ST2017★ 18 cited
Random forward models and log-likelihoods in Bayesian inverse problems
H. C. Lie, T. J. Sullivan, A. L. Teckentrup
We consider the use of randomised forward models and log-likelihoods within the Bayesian approach to inverse problems. Such random approximations to the exact forward model or log-…
math.FA2017★ 11 cited
Equivalence of weak and strong modes of measures on topological vector spaces
Han Cheng Lie, T. J. Sullivan
A strong mode of a probability measure on a normed space can be defined as a point such that the mass of the ball centred at uniformly dominates the mass of all other b…
math.NA2017★ 25 cited
Strong convergence rates of probabilistic integrators for ordinary differential equations
H. C. Lie, A. M. Stuart, T. J. Sullivan
Probabilistic integration of a continuous dynamical system is a way of systematically introducing model error, at scales no larger than errors introduced by standard numerical disc…