Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin | Paper Citation Record

Observation 8778a93a-acc6-4f2b-833a-8ea8577ee6b8 · outbound

This paper cites GROMACS: High performance molecular simulations through multi-level paral- lelism from laptops to supercomputers.SoftwareX, 1:19–25, 2015.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin GROMACS: High performance molecular simulations through multi-level paral- lelism from laptops to supercomputers.SoftwareX, 1:19–25, 2015

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Observation 1219e19e-330a-46b6-b8f6-06a6d76474da · outbound

This paper cites Stegun.Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Stegun.Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables

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Observation 2b2217df-22d7-45ec-90be-d5f48701d0f0 · outbound

This paper cites Allen and Dominic J.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Allen and Dominic J

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Observation dc87400b-8746-4e1f-bc1a-da416c111eca · outbound

This paper cites Molecular dynamics simulations at constant pressure and/or temperature.The Journal of chemical physics, 72(4):2384–2393, 1980.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Molecular dynamics simulations at constant pressure and/or temperature.The Journal of chemical physics, 72(4):2384–2393, 1980

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Observation a90bf217-28eb-4533-b8b6-a9a937a86d43 · outbound

This paper cites Hamiltonian Monte Carlo for efficient Gaussian sampling: Long and random steps.Journal of Machine Learning Research, 25(348):1–30, 2024.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Hamiltonian Monte Carlo for efficient Gaussian sampling: Long and random steps.Journal of Machine Learning Research, 25(348):1–30, 2024

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Observation 78411a03-29f0-4513-8a32-ddc60bde943a · outbound

This paper cites Optimal tuning of the Hybrid Monte-Carlo Algorithm.Bernoulli, 19(5A):1501–1534, 2013.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Optimal tuning of the Hybrid Monte-Carlo Algorithm.Bernoulli, 19(5A):1501–1534, 2013

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Observation a86d0a9a-cf2f-4ff7-9374-796b6c5feb93 · outbound

This paper cites Mixing time guarantees for unadjusted Hamiltonian Monte Carlo.Bernoulli, 29(1):75–104, 2023.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Mixing time guarantees for unadjusted Hamiltonian Monte Carlo.Bernoulli, 29(1):75–104, 2023

Reference 7

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Observation 98725946-9069-45ca-b318-6c342caa1f36 · outbound

This paper cites Unadjusted Hamiltonian MCMC with stratified Monte Carlo time integration.The Annals of Applied Probability, 35(1):360–392, 2025.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Unadjusted Hamiltonian MCMC with stratified Monte Carlo time integration.The Annals of Applied Probability, 35(1):360–392, 2025

Reference 8

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Observation 4e991d2c-624e-4c87-a5f5-e00ee8dc0cb7 · outbound

This paper cites Tail-sensitive KL and R´ enyi convergence of unadjusted Hamiltonian Monte Carlo via one-shot couplings.arXiv preprint arXiv:2601.09019, 2026.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Tail-sensitive KL and R´ enyi convergence of unadjusted Hamiltonian Monte Carlo via one-shot couplings.arXiv preprint arXiv:2601.09019, 2026

Reference 9

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Observation b158544d-dc07-42ea-bb4b-c53ee8f88b19 · outbound

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

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Randomized Hamiltonian Monte Carlo.The Annals of Applied Probability, 27(4):2159–2194, 2017

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Observation f2270a1c-fdd8-49d9-a300-2a6a2f0213eb · outbound

This paper cites Convergence of unadjusted Hamiltonian Monte Carlo for mean-field models.Electronic Journal of Probability, 28:1–40, 2023.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Convergence of unadjusted Hamiltonian Monte Carlo for mean-field models.Electronic Journal of Probability, 28:1–40, 2023

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Observation d6535bd7-33fb-4aef-80e5-1b10caceac0b · outbound

This paper cites Second order quantitative bounds for unadjusted generalized Hamiltonian Monte Carlo.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Second order quantitative bounds for unadjusted generalized Hamiltonian Monte Carlo

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Observation 35c2fb8a-fb0c-4ccd-8509-b0ecab8575cf · outbound

This paper cites Hoffman, Daniel Lee, Ben Goodrich, Michael Be- tancourt, Marcus A.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Hoffman, Daniel Lee, Ben Goodrich, Michael Be- tancourt, Marcus A

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Observation cbe9887d-bd30-453c-a9f4-acf7b8348644 · outbound

This paper cites Recent developments in Amber biomolecular simulations.Journal of Chemical Information and Modeling, 65(15):7835–7843, 2025.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Recent developments in Amber biomolecular simulations.Journal of Chemical Information and Modeling, 65(15):7835–7843, 2025

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Observation 21bc9e49-24eb-42a4-a400-14df7d18d9f2 · outbound

This paper cites Chada, Benedict Leimkuhler, Daniel Paulin, and Peter A.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Chada, Benedict Leimkuhler, Daniel Paulin, and Peter A

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Observation 7b8efb98-a780-4532-a1b7-a87a5b8f7364 · outbound

This paper cites Reflection coupling for unadjusted generalized Hamiltonian Monte Carlo in the nonconvex stochastic gradient case.IMA Journal of Numerical Analysis, page draf045, 2025.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Reflection coupling for unadjusted generalized Hamiltonian Monte Carlo in the nonconvex stochastic gradient case.IMA Journal of Numerical Analysis, page draf045, 2025

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Observation 8c9e577e-df4f-4cf8-925f-e7fc88bab019 · outbound

This paper cites Convergence of unad- justed langevin in high dimensions: Delocalization of bias.Communications on Pure and Applied Mathematics, 79(6):1467–1491, 2026.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Convergence of unad- justed langevin in high dimensions: Delocalization of bias.Communications on Pure and Applied Mathematics, 79(6):1467–1491, 2026

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Observation ab18eb16-2e0b-4261-bdc3-94486fe838bf · outbound

This paper cites When does Metropolized Hamiltonian Monte Carlo provably outperform Metropolis-adjusted Langevin algorithm?arXiv preprint arXiv:2304.04724, 2023.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin When does Metropolized Hamiltonian Monte Carlo provably outperform Metropolis-adjusted Langevin algorithm?arXiv preprint arXiv:2304.04724, 2023

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Unresolved cited work

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Observation 41faefd7-36c8-4538-8108-4849085f2714 · outbound

This paper cites Chatterji, Peter L.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Chatterji, Peter L

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Unresolved cited work

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Observation 79d7e967-0ac1-474a-b35f-9954a0a8319e · outbound

This paper cites Dalalyan and Lionel Riou-Durand.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Dalalyan and Lionel Riou-Durand

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Observation 38a250b9-4f2c-438b-9a8d-d34d60cf4c16 · outbound

This paper cites Kennedy, Brian J.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Kennedy, Brian J

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This paper cites Asymptotic bias of inexact Markov chain Monte Carlo methods in high dimension.The Annals of Applied Probability, 34(4):3435–3468, 2024.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Asymptotic bias of inexact Markov chain Monte Carlo methods in high dimension.The Annals of Applied Probability, 34(4):3435–3468, 2024

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Observation 0f1d866a-2179-4418-92f1-8afa2ea1b567 · outbound

This paper cites Chodera, Robert T.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Chodera, Robert T

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This paper cites Couplings and quantitative contraction rates for Langevin dynamics.The Annals of Probability, 47(4):1982–2010, 2019.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Couplings and quantitative contraction rates for Langevin dynamics.The Annals of Probability, 47(4):1982–2010, 2019

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This paper cites Elsevier, 2023.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Elsevier, 2023

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This paper cites HMC and underdamped Langevin united in the unadjusted convex smooth case.SIAM/ASA Journal on Uncertainty Quan- tification, 13(1):278–303, 2025.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin HMC and underdamped Langevin united in the unadjusted convex smooth case.SIAM/ASA Journal on Uncertainty Quan- tification, 13(1):278–303, 2025

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Observation 9373ec4e-ff1c-4614-852a-21756abdfcaf · outbound

This paper cites GROMACS stochastic dynamics and BAOAB are equivalent configurational sampling algorithms.Journal of Chemical Theory and Computation, 18(10):5792–5798, 2022.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin GROMACS stochastic dynamics and BAOAB are equivalent configurational sampling algorithms.Journal of Chemical Theory and Computation, 18(10):5792–5798, 2022

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin A hierarchical entropy method for the delocalization of bias in high-dimensional Langevin Monte Carlo

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Springer, 2015

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Rational construction of stochastic numerical methods for molecular sampling.Applied Mathematics Research eXpress, 2013(1):34–56, 2013

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Robust and efficient configurational molecular sam- pling via Langevin dynamics.The Journal of Chemical Physics, 138(17):174102, 2013

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Observation d8e5dde1-c67e-43ef-8ad6-62fba5b37c7e · outbound

This paper cites Leimkuhler, Daniel Paulin, and Peter A.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Leimkuhler, Daniel Paulin, and Peter A

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Unresolved cited work

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Observation fbfa95c7-3c1d-42eb-83fe-eed12b03493f · outbound

This paper cites Mixing of Hamiltonian Monte Carlo on strongly log-concave distributions 2: Numerical integrators.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Mixing of Hamiltonian Monte Carlo on strongly log-concave distributions 2: Numerical integrators

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Observation ff478c86-9735-4438-aaad-cd3415f40752 · outbound

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Mixing of Hamiltonian Monte Carlo on strongly log-concave distributions: Continuous dynamics.The Annals of Applied Probability, 31(5):2019–2045, 2021

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Dimensionally tight bounds for second-order Hamiltonian Monte Carlo

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Observation 360f8183-bbb4-4a3e-8151-25ec5204378f · outbound

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin High-dimensional MCMC with a standard splitting scheme for the under- damped Langevin diffusion.Electronic Journal of Statistics, 15(2):4117–4166, 2021

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Almost sure contraction for diffusions onR d

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin An entropic approach for Hamiltonian Monte Carlo: The idealized case.The Annals of Applied Probability, 34(2):2243–2293, 2024

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Unresolved cited work

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Scalable molecular dynamics on CPU and GPU architectures with NAMD.The Journal of Chemical Physics, 153(4):044130, 2020

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Tinker 8: Software tools for molecular design.Journal of Chemical Theory and Computation, 14(10):5273–5289, 2018

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Metropolis Adjusted Langevin Trajectories: a robust alternative to Hamiltonian Monte Carlo

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Practical and Scalable Hamiltonian Monte Carlo Without the Metropolis Test

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Wiecki, and Christopher Fonnesbeck

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Convergence of kinetic Langevin samplers for non-convex potentials

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Observation ac1c8940-c2b5-4abb-ae60-8b0caa1e1271 · outbound

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin The randomized midpoint method for log-concave sampling

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin LAMMPS - a flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales.Computer Physics Communications, 271:108171, 2022

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Observation a01053fc-bbea-4ce4-b620-3fec207c3139 · outbound

This paper cites Zhang, Jason M.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Zhang, Jason M

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Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin Unresolved cited work

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Observation 9ffed0b5-8e7d-449e-87f3-e81db8dc9ce2 · outbound

This paper cites By Proposition 4.4 and| I0 W −1|ℓ∞ = 1 + b√ a−b2 , (F.19) (a)≤6 1 + b√ a−b2 (1− 1 2 c(h))k−1|∆Z0|2,ℓ∞w.

Delocalization of bias in unadjusted Hamiltonian Monte Carlo and underdamped Langevin By Proposition 4.4 and| I0 W −1|ℓ∞ = 1 + b√ a−b2 , (F.19) (a)≤6 1 + b√ a−b2 (1− 1 2 c(h))k−1|∆Z0|2,ℓ∞w

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