98 citations · 98 across the 3 of their papers we have counts for
3 papers
Black Box Probabilistic Numerics
Onur Teymur, Christopher N. Foley, Philip G. Breen +2
Probabilistic numerics casts numerical tasks, such the numerical solution of differential equations, as inference problems to be solved. One approach is to model the unknown quanti…
Newton vs the machine: solving the chaotic three-body problem using deep neural networks
Philip G. Breen, Christopher N. Foley, Tjarda Boekholt +1
Since its formulation by Sir Isaac Newton, the problem of solving the equations of motion for three bodies under their own gravitational force has remained practically unsolved. Cu…
A Bulirsch-Stoer algorithm using Gaussian processes
Philip G. Breen, Christopher N. Foley
In this paper, we treat the problem of evaluating the asymptotic error in a numerical integration scheme as one with inherent uncertainty. Adding to the growing field of probabilis…