4 papers
Pathwise skew-symmetric discretisation for SDEs with superlinear drift
Yuga Iguchi, Samuel Livingstone, Giorgos Vasdekis +1
The skew-symmetric discretisation has recently been proposed as a new robust simulation method for weakly approximating stochastic differential equations (SDEs) with non-globally L…
On randomized step sizes in Metropolis-Hastings algorithms
Sebastiano Grazzi, Samuel Livingstone, Lionel Riou-Durand
The performance of Metropolis-Hastings algorithms is highly sensitive to the choice of step size, and miss-specification can lead to severe loss of efficiency. We study algorithms…
Foundations of locally-balanced Markov processes
Samuel Livingstone, Giorgos Vasdekis, Giacomo Zanella
We formally introduce and study locally-balanced Markov jump processes (LBMJPs) defined on a general state space. These continuous-time stochastic processes with a user-specified l…
Skew-symmetric schemes for stochastic differential equations with non-Lipschitz drift: an unadjusted Barker algorithm
Yuga Iguchi, Samuel Livingstone, Nikolas Nüsken +2
We propose a new simple and explicit numerical scheme for time-homogeneous stochastic differential equations. The scheme is based on sampling increments at each time step from a sk…