2025 | Maximum a posteriori testing in statistical inverse problems | Remo Kretschmann, Frank Werner
Zeitschrift: Inverse Problems and Imaging
Reihe: 19
Seiten: 1268-1301
Band: 6
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2025 | Upper and lower bounds for local Lipschitz stability of Bayesian posteriors | Nada Cvetkovic, Han Cheng Lie
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2025 | Optimal low-rank approximations of posteriors for linear Gaussian inverse problems on Hilbert spaces, Part II: posterior mean approximation | Giuseppe Carere, Han Cheng Lie
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2025 | Optimal low-rank approximations of posteriors for linear Gaussian inverse problems on Hilbert spaces, Part I: posterior covariance approximation | Giuseppe Carere, Han Cheng Lie
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2024 | Generalised rank-constrained approximations of Hilbert-Schmidt operators on separable Hilbert spaces and applications | Giuseppe Carere, Han Cheng Lie
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2024 | Bayesian inference of covariate-parameter relationships for population modelling | Han Cheng Lie
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2024 | Data subsampling for Poisson regression with pth-root link | Han Cheng Lie, Alexander Munteanu
Zeitschrift: Advances in Neural Information Processing Systems 37 (NeurIPS 2024)
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2024 | Choosing Observation Operators to Mitigate Model Error in Bayesian Inverse Problems | Nada Cvetkovic, Han Cheng Lie, Harshit Bansal, Karen Veroy-Grepl
Zeitschrift: SIAM/ASA Journal of Uncertainty Quantification
Reihe: 12
Seiten: 723-758
Band: 3
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2023 | Dimension-independent Markov chain Monte Carlo on the sphere | Han Cheng Lie, Daniel Rudolf, Bjorn Sprungk, T. J. Sullivan
Zeitschrift: Scandinavian Journal of Statistics
Reihe: 50
Seiten: 1818-1858
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2022 | Randomised one-step time integration methods for deterministic operator differential equations | Han Cheng Lie, Martin Stahn, T. J. Sullivan
Zeitschrift: Calcolo
Reihe: 59
Seiten: 1-33
Band: 13
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2021 | Fréchet derivatives of expected functionals of solutions to stochastic differential equations | Han Cheng Lie
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2021 | Error bounds for some approximate posterior measures in Bayesian inference | Han Cheng Lie, T. J. Sullivan, Aretha Teckentrup
Zeitschrift: Lecture Notes in Computational Science and Engineering
Verlag: Springer, Cham
Buchtitel: Numerical Mathematics and Advanced Applications ENUMATH 2019
Seiten: 275-283
Band: 139
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2021 | Gamma-convergence of Onsager-Machlup functionals. Part II: Infinite product measures on Banach spaces | Birzhan Ayanbayev, Ilja Klebanov, Han Cheng Lie, T.J. Sullivan
Zeitschrift: Inverse Problems
Reihe: 38
Seiten: 025006
Band: 2
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2021 | Gamma-convergence of Onsager-Machlup functionals. Part I: With applications to maximum a posteriori estimation in Bayesian inverse problems | Birzhan Ayanbayev, Ilja Klebanov, Han Cheng Lie, T.J. Sullivan
Zeitschrift: Inverse Problems
Reihe: 38
Seiten: 025005
Band: 2
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2021 | Convergent discretisation schemes for transition path theory for diffusion processes | Nada Cvetković, Tim Conrad, Han Cheng Lie
Zeitschrift: SIAM J. Multiscale Modeling and Simulation
Verlag: Society for Industrial and Applied Mathematics
Seiten: 242–266
Band: 19(1)
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2019 | Strong convergence rates of probabilistic integrators for ordinary differential equations | H. C. Lie, A. M. Stuart, T. J. Sullivan
Zeitschrift: Stat Comput
Verlag: Springer
Seiten: 1265-1283
Band: 29
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2019 | On a degeneracy ratio for bounded convex polytopes | Nada Cvetković, Han Cheng Lie
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2018 | Fréchet differentiable drift dependence of Perron--Frobenius and Koopman operators for non-deterministic dynamics | Péter Koltai, Han Cheng Lie, Martin Plonka
Zeitschrift: Nonlinearity
Verlag: IOP Publishing
Seiten: 4232
Band: 32
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2018 | Quasi-invariance of countable products of Cauchy measures under non-unitary dilations | Han Cheng Lie, T. J. Sullivan
Zeitschrift: Electron. Commun. Probab.
Seiten: 6 pages
Band: 23, paper no. 8
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2018 | Equivalence of weak and strong modes of measures on topological vector spaces | Han Cheng Lie, T. J. Sullivan
Zeitschrift: Inverse Problems
Verlag: IOP Publishing
Seiten: 115013
Band: 34
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2018 | Implicit Probabilistic Integrators for ODEs | Onur Teymur, Han Cheng Lie, Tim Sullivan, Ben Calderhead
Buchtitel: Advances in Neural Information Processing Systems 31 (NIPS 2018)
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2018 | Random forward models and log-likelihoods in Bayesian inverse problems | H. C. Lie, T. J. Sullivan, A. L. Teckentrup
Zeitschrift: SIAM/ASA J. Uncertainty Quantification
Verlag: SIAM
Seiten: 1600-1629
Band: 6(4)
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2017 | Some connections between importance sampling and enhanced sampling methods in molecular dynamics | H. C. Lie, J. Quer
Zeitschrift: J. Chem. Phys.
Verlag: AIP Publishing
Seiten: 194107
Band: 147
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2016 | On a strongly convex approximation of a stochastic optimal control problem for importance sampling of metastable diffusions | Han Cheng Lie
Verlag: Dissertation, Freie Universität Berlin
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2016 | Convexity of a stochastic control functional related to importance sampling of Itô diffusions | Han Cheng Lie
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2014 | Towards breaking the curse of dimensionality in computational methods for the conformational analysis of molecules | Han Cheng Lie
Zeitschrift: BMC Bioinformatics
Verlag: BioMed Central
Band: 15, A2
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2013 | A Square Root Approximation of Transition Rates for a Markov State Model | Han Cheng Lie, Konstantin Fackeldey, Marcus Weber
Zeitschrift: SIAM J. Matrix Anal. Appl.
Verlag: SIAM
Seiten: 738-756
Band: 34(2)
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