217 citations · 869 across the 30 of their papers we have counts for
30 papers
Fast Neural Network based Solving of Partial Differential Equations
Jaroslaw Rzepecki, Daniel Bates, Chris Doran
We present a novel method for using Neural Networks (NNs) for finding solutions to a class of Partial Differential Equations (PDEs). Our method builds on recent advances in Neural…
Dynamical Pose Estimation
Heng Yang, Chris Doran, Jean-Jacques Slotine
We study the problem of aligning two sets of 3D geometric primitives given known correspondences. Our first contribution is to show that this primitive alignment framework unifies…
New algorithms for modular inversion and representation by binary quadratic forms arising from structure in the Euclidean algorithm
Christina Doran, Shen Lu, Barry R. Smith
We observe structure in the sequences of quotients and remainders of the Euclidean algorithm with two families of inputs. Analyzing the remainders, we obtain new algorithms for com…
Fermion scattering by a Schwarzschild black hole
Sam Dolan, Chris Doran, Anthony Lasenby
We study the scattering of massive spin-half waves by a Schwarzschild black hole using analytical and numerical methods. We begin by extending a recent perturbation theory calculat…
Events and cosmological spaces through twistors in the geometric (Clifford) algebra formalism
Elsa Arcaute, Anthony Lasenby, Chris Doran
Events in Minkowski space-time can be obtained from the intersection of two twistors with no helicity. These can be represented within the geometric (Clifford) algebra formalism, i…
A representation of twistors within geometric (Clifford) algebra
Elsa Arcaute, Anthony Lasenby, Chris Doran
In previous work by two of the present authors, twistors were re-interpreted as 4-d spinors with a position dependence within the formalism of geometric (Clifford) algebra. Here we…