Search Results for author: Philip G. Breen

Found 4 papers, 2 papers with code

Black Box Probabilistic Numerics

1 code implementation NeurIPS 2021 Onur Teymur, Christopher N. Foley, Philip G. Breen, Toni Karvonen, Chris. J. Oates

One approach is to model the unknown quantity of interest as a random variable, and to constrain this variable using data generated during the course of a traditional numerical method.

The Kinematic Richness of Star Clusters - II. Stability of Spherical Anisotropic Models with Rotation

no code implementations8 Feb 2021 Philip G. Breen, Simon Rozier, Douglas C. Heggie, Anna Lisa Varri

The aim of the N-body simulations is first to survey the parameter space, and, using those results, to identify regions of phase space (by radius and orbital inclination) which have the most important influence on the bar instability.

Astrophysics of Galaxies

Newton vs the machine: solving the chaotic three-body problem using deep neural networks

2 code implementations16 Oct 2019 Philip G. Breen, Christopher N. Foley, Tjarda Boekholt, Simon Portegies Zwart

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.

A Bulirsch-Stoer algorithm using Gaussian processes

no code implementations23 May 2019 Philip G. Breen, Christopher N. Foley

In scenarios where the error-surface is smooth and bounded, our proposed approach can match the results of the traditional polynomial (parametric) extrapolation methods.

GPR Numerical Integration +1

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