Stereographic markov chain monte carlo

J Yang, K Łatuszyński, GO Roberts - The Annals of Statistics, 2024 - projecteuclid.org
Stereographic Markov chain Monte Carlo Page 1 The Annals of Statistics 2024, Vol. 52, No. 6,
2692–2713 https://doi.org/10.1214/24-AOS2426 © Institute of Mathematical Statistics, 2024 …

Mean-square analysis of discretized Itô diffusions for heavy-tailed sampling

Y He, T Farghly, K Balasubramanian… - Journal of Machine …, 2024 - jmlr.org
We analyze the complexity of sampling from a class of heavy-tailed distributions by
discretizing a natural class of Itô diffusions associated with weighted Poincaré inequalities …

Explicit convergence rates of underdamped Langevin dynamics under weighted and weak Poincar\'e--Lions inequalities

G Brigati, G Stoltz, AQ Wang, L Wang - arXiv preprint arXiv:2407.16033, 2024 - arxiv.org
We study the long-time convergence behavior of underdamped Langevin dynamics, when
the spatial equilibrium satisfies a weighted Poincar\'e inequality, with a general velocity …

Non-reversible processes: GENERIC, hypocoercivity and fluctuations

MH Duong, M Ottobre - Nonlinearity, 2023 - iopscience.iop.org
We consider two approaches to study non-reversible Markov processes, namely the
hypocoercivity theory and general equations for non-equilibrium reversible–irreversible …

An analysis of Transformed Unadjusted Langevin Algorithm for Heavy-tailed Sampling

Y He, K Balasubramanian… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
We analyze the oracle complexity of sampling from polynomially decaying heavy-tailed
target densities based on running the Unadjusted Langevin Algorithm on certain …

NuZZ: numerical Zig-Zag sampling for general models

F Pagani, A Chevallier, S Power, T House… - arXiv preprint arXiv …, 2020 - arxiv.org
Markov chain Monte Carlo (MCMC) is a key algorithm in computational statistics, and as
datasets grow larger and models grow more complex, many popular MCMC algorithms …

Speed up zig-zag

G Vasdekis, GO Roberts - The Annals of Applied Probability, 2023 - projecteuclid.org
Speed up Zig-Zag Page 1 The Annals of Applied Probability 2023, Vol. 33, No. 6A, 4693–4746
https://doi.org/10.1214/23-AAP1930 This research was funded, in whole or in part, by [NERC …

[HTML][HTML] Infinite dimensional Piecewise Deterministic Markov Processes

P Dobson, J Bierkens - Stochastic Processes and their Applications, 2023 - Elsevier
In this paper we aim to construct infinite dimensional versions of well established Piecewise
Deterministic Monte Carlo methods, such as the Bouncy Particle Sampler, the Zig-Zag …

NuZZ: Numerical Zig-Zag for general models

F Pagani, A Chevallier, S Power, T House… - Statistics and …, 2024 - Springer
Abstract Markov chain Monte Carlo (MCMC) is a key algorithm in computational statistics,
and as datasets grow larger and models grow more complex, many popular MCMC …

A note on the polynomial ergodicity of the one-dimensional Zig-Zag process

G Vasdekis, GO Roberts - Journal of Applied Probability, 2022 - cambridge.org
A NOTE ON THE POLYNOMIAL ERGODICITY OF THE ONE-DIMENSIONAL ZIG-ZAG
PROCESS Page 1 J. Appl. Probab. 59, 895–903 (2022) doi:10.1017/jpr.2021.97 A NOTE ON …