Asymptotic bias of inexact Markov Chain Monte Carlo methods in high dimension

A Durmus, A Eberle - The Annals of Applied Probability, 2024 - projecteuclid.org
Inexact Markov chain Monte Carlo methods rely on Markov chains that do not exactly
preserve the target distribution. Examples include the unadjusted Langevin algorithm (ULA) …

[HTML][HTML] Differentiable and accelerated spherical harmonic and Wigner transforms

MA Price, JD McEwen - Journal of Computational Physics, 2024 - Elsevier
Many areas of science and engineering encounter data defined on spherical manifolds.
Modelling and analysis of spherical data often necessitates spherical harmonic transforms …

Geodesic slice sampling on the sphere

M Habeck, M Hasenpflug, S Kodgirwar… - arXiv preprint arXiv …, 2023 - arxiv.org
Probability measures on the sphere form an important class of statistical models and are
used, for example, in modeling directional data or shapes. Due to their widespread use, but …

[PDF][PDF] PxMCMC: A Python package for proximal Markov Chain Monte Carlo

A Marignier - Journal of Open Source Software, 2023 - joss.theoj.org
Summary Markov Chain Monte Carlo (MCMC) methods form the dominant set of algorithms
for Bayesian inference. The appeal of MCMC in the physical sciences is that it produces a …

Sparse Bayesian mass-mapping using trans-dimensional MCMC

A Marignier, T Kitching, JD McEwen… - arXiv preprint arXiv …, 2022 - arxiv.org
Uncertainty quantification is a crucial step of cosmological mass-mapping that is often
ignored. Suggested methods are typically only approximate or make strong assumptions of …