273 citations · 856 across the 27 of their papers we have counts for
27 papers
Hamiltonian Monte Carlo on Symmetric and Homogeneous Spaces via Symplectic Reduction
Alessandro Barp, Anthony Kennedy, Mark Girolami
The Hamiltonian Monte Carlo method generates samples by introducing a mechanical system that explores the target density. For distributions on manifolds it is not always simple to…
Geometry and Dynamics for Markov Chain Monte Carlo
Alessandro Barp, Francois-Xavier Briol, Anthony D. Kennedy +1
Markov Chain Monte Carlo methods have revolutionised mathematical computation and enabled statistical inference within many previously intractable models. In this context, Hamilton…
Investigation of New Methods for Numerical Stochastic Perturbation Theory in Theory
Mattia Dalla Brida, Marco Garofalo, A. D. Kennedy
Numerical stochastic perturbation theory is a powerful tool for estimating high-order perturbative expansions in lattice field theory. The standard algorithms based on the Langevin…
Numerical Stochastic Perturbation Theory and Gradient Flow in ϕ^4 Theory
Mattia Dalla Brida, Marco Garofalo, Anthony D. Kennedy
In this contribution we present an exploratory study of several novel methods for numerical stochastic perturbation theory. For the investigation we consider observables defined th…
Better HMC integrators for dynamical simulations
M. A. Clark, Balint Joo, A. D. Kennedy +1
We show how to improve the molecular dynamics step of Hybrid Monte Carlo, both by tuning the integrator using Poisson brackets measurements and by the use of force gradient integra…
Time symmetric Bloch-Nordsieck infrared cancellation
G. E. C. Burton, A. D. Kennedy
It is usually assumed that the infrared divergences that occur for virtual photons in Feynman diagrams cancel against the corresponding divergences in phase space integrals for the…