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Scaling Results for Piecewise Deterministic Monte Carlo : A Survey

As of 21 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2607.22449.

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pith.paper-citation-record.v1
2607.22449 v1

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Outbound references

Observation 53d0aa2e-82eb-4778-b391-e1451086f7c5 · outbound

This paper cites an unresolved cited work.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Unresolved cited work

Reference 1

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Observation caf1d11f-0254-457a-82c4-2aceedf4fad7 · outbound

This paper cites Large sample scaling analysis of the Zig-Zag algorithm for Bayesian inference.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Large sample scaling analysis of the Zig-Zag algorithm for Bayesian inference

Reference 2

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This paper cites Hypoco- ercivity of Piecewise Deterministic Markov Process-Monte Carlo.The Annals of Applied Probability, 31(5):2478–2517, 2021.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Hypoco- ercivity of Piecewise Deterministic Markov Process-Monte Carlo.The Annals of Applied Probability, 31(5):2478–2517, 2021

Reference 3

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Observation 3f698496-81d1-4814-bc71-754809945edb · outbound

This paper cites Adaptive schemes for piecewise deterministic Monte Carlo algorithms.Bernoulli.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Adaptive schemes for piecewise deterministic Monte Carlo algorithms.Bernoulli

Reference 4

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Observation 106a5df1-53c3-47fa-a044-4fbcc3d360d2 · outbound

This paper cites Approximations of piecewise de- terministic markov processes and their convergence properties.Stochastic Processes and their Applications, 154:91–153, 2022.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Approximations of piecewise de- terministic markov processes and their convergence properties.Stochastic Processes and their Applications, 154:91–153, 2022

Reference 5

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Observation 6fcd5117-1abe-42fc-8b47-c4c5cb0e9039 · outbound

This paper cites Piecewise deterministic sampling with splitting schemes.Journal of Machine Learning Research, 26(243):1– 94, 2025.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Piecewise deterministic sampling with splitting schemes.Journal of Machine Learning Research, 26(243):1– 94, 2025

Reference 6

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This paper cites Asymp- totic analysis of the random walk metropolis algorithm on ridged densities.Annals of Applied Probability, 28(5):2966–3001, 2018.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Asymp- totic analysis of the random walk metropolis algorithm on ridged densities.Annals of Applied Probability, 28(5):2966–3001, 2018

Reference 7

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Observation 7b7b4eb0-dba1-4cbb-a4bc-813fba93d5b6 · outbound

This paper cites Limit theorems for the zig-zag process.Ad- vances in Applied Probability, 49(3):791–825, July 2017.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Limit theorems for the zig-zag process.Ad- vances in Applied Probability, 49(3):791–825, July 2017

Reference 8

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Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Unresolved cited work

Reference 9

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This paper cites Methods and applications of PDMP samplers with boundary conditions.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Methods and applications of PDMP samplers with boundary conditions

Reference 10

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This paper cites A piecewise deterministic Monte Carlo method for diffusion bridges.Statistics and Computing, 31(3):37, April 2021.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey A piecewise deterministic Monte Carlo method for diffusion bridges.Statistics and Computing, 31(3):37, April 2021

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This paper cites Sticky PDMP samplers for sparse and local inference problems.Statistics and Computing, 33(1):8, November 2022.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Sticky PDMP samplers for sparse and local inference problems.Statistics and Computing, 33(1):8, November 2022

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Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Unresolved cited work

Reference 13

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Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Unresolved cited work

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This paper cites Large deviations for the empirical measure of the zig-zag process.The Annals of Applied Probability, 31(6):2811–2843, December 2021.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Large deviations for the empirical measure of the zig-zag process.The Annals of Applied Probability, 31(6):2811–2843, December 2021

Reference 15

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This paper cites A piecewise deterministic scaling limit of lif- ted Metropolis–Hastings in the Curie–Weiss model.Annals of Applied Probability, 27(2):846–882, 2017.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey A piecewise deterministic scaling limit of lif- ted Metropolis–Hastings in the Curie–Weiss model.Annals of Applied Probability, 27(2):846–882, 2017

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This paper cites Ergodicity of the zigzag process.Ann.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Ergodicity of the zigzag process.Ann

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This paper cites Randomized Hamiltonian Monte Carlo.The Annals of Applied Probability, 27(4):2159–2194, 2017.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Randomized Hamiltonian Monte Carlo.The Annals of Applied Probability, 27(4):2159–2194, 2017

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This paper cites The Bouncy Particle Sampler: A Non-Reversible Rejection-Free Markov Chain Monte Carlo Method.Journal of the American Statistical Association, 2017.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey The Bouncy Particle Sampler: A Non-Reversible Rejection-Free Markov Chain Monte Carlo Method.Journal of the American Statistical Association, 2017

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Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Unresolved cited work

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Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Unresolved cited work

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Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Unresolved cited work

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This paper cites Exponential ergodicity of the bouncy particle sampler.The Annals of Statistics, 47(3):1268– 1287, 2019.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Exponential ergodicity of the bouncy particle sampler.The Annals of Statistics, 47(3):1268– 1287, 2019

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This paper cites Randomized Hamiltonian Monte Carlo as scaling limit of the bouncy particle sampler and dimension-free convergence rates.The Annals of Applied Prob- ability, 31(6):2612–2662, 2021.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Randomized Hamiltonian Monte Carlo as scaling limit of the bouncy particle sampler and dimension-free convergence rates.The Annals of Applied Prob- ability, 31(6):2612–2662, 2021

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This paper cites Hypocoercivity for lin- ear kinetic equations conserving mass.Transactions of the American Mathematical Society, 367(6):3807–3828, February 2015.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Hypocoercivity for lin- ear kinetic equations conserving mass.Transactions of the American Mathematical Society, 367(6):3807–3828, February 2015

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This paper cites Geometric ergodicity of the bouncy particle sampler.The Annals of Applied Probability, 30(5):2069–2098, 2020.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Geometric ergodicity of the bouncy particle sampler.The Annals of Applied Probability, 30(5):2069–2098, 2020

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This paper cites Piecewise deterministic Markov processes and their invariant measures.Annales de l’Institut Henri Poincar´ e (B) Probabilit´ es et Statistiques, 57(3):1442–1475, 2021.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Piecewise deterministic Markov processes and their invariant measures.Annales de l’Institut Henri Poincar´ e (B) Probabilit´ es et Statistiques, 57(3):1442–1475, 2021

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Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Piecewise Deterministic Markov Processes for Continuous-Time Monte Carlo.Statist

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Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Glynn and Sean P

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Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Cores for piecewise-deterministic Markov processes used in Markov chain Monte Carlo.Electronic Communications in Probability, 26(none):1– 12, 2021

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This paper cites Michel, S.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Michel, S

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This paper cites Forward event-chain Monte Carlo: Fast sampling by randomness control in irreversible Markov chains.Journal of Computational and Graphical Statistics, 29(4):689–702, 2020.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Forward event-chain Monte Carlo: Fast sampling by randomness control in irreversible Markov chains.Journal of Computational and Graphical Statistics, 29(4):689–702, 2020

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Scaling Results for Piecewise Deterministic Monte Carlo : A Survey ´ etude spectrale minutieuse de processus moins ind´ ecis que les autres

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Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Monmarch´ e

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This paper cites Hypocoercive relaxation to equilibrium for some kinetic models.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Hypocoercive relaxation to equilibrium for some kinetic models

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This paper cites NuZZ: Numerical Zig-Zag for general models.Statistics and Computing, 34(1):61, January 2024.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey NuZZ: Numerical Zig-Zag for general models.Statistics and Computing, 34(1):61, January 2024

Reference 36

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This paper cites an unresolved cited work.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Unresolved cited work

Reference 37

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Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Unresolved cited work

Reference 38

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Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Unresolved cited work

Reference 39

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This paper cites Diffusive Scaling Limits of Forward Event- Chain Monte Carlo: Provably Efficient Exploration with Partial Refreshment.arXiv preprint arXiv:2602.17087, 2026.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Diffusive Scaling Limits of Forward Event- Chain Monte Carlo: Provably Efficient Exploration with Partial Refreshment.arXiv preprint arXiv:2602.17087, 2026

Reference 40

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This paper cites Cambridge University Press, Cambridge, 1998.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Cambridge University Press, Cambridge, 1998

Reference 41

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This paper cites Coordinate sampler: A non-reversible Gibbs- like MCMC sampler.Statistics and Computing, 30(3):721–730, 2020.

Scaling Results for Piecewise Deterministic Monte Carlo : A Survey Coordinate sampler: A non-reversible Gibbs- like MCMC sampler.Statistics and Computing, 30(3):721–730, 2020

Reference 42

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