A square root approximation of transition rates for a Markov State Model HC Lie, K Fackeldey, M Weber SIAM Journal on Matrix Analysis and Applications 34 (2), 738-756, 2013 | 33 | 2013 |
Strong convergence rates of probabilistic integrators for ordinary differential equations HC Lie, AM Stuart, TJ Sullivan Statistics and Computing 29 (6), 1265-1283, 2019 | 32 | 2019 |
Implicit Probabilistic Integrators for ODEs O Teymur, HC Lie, T Sullivan, B Calderhead Neural Information Processing Systems Conference 2018, 2018 | 30 | 2018 |
Random forward models and log-likelihoods in Bayesian inverse problems HC Lie, TJ Sullivan, AL Teckentrup SIAM/ASA Journal on Uncertainty Quantification 6 (4), 1600-1629, 2018 | 25 | 2018 |
Equivalence of weak and strong modes of measures on topological vector spaces HC Lie, TJ Sullivan Inverse Problems 34 (11), 115013, 2018 | 20 | 2018 |
-convergence of Onsager–Machlup functionals: I. With applications to maximum a posteriori estimation in Bayesian inverse problems B Ayanbayev, I Klebanov, HC Lie, TJ Sullivan Inverse Problems 38 (2), 025005, 2021 | 14 | 2021 |
Fréchet differentiable drift dependence of Perron–Frobenius and Koopman operators for non-deterministic dynamics P Koltai, HC Lie, M Plonka Nonlinearity 32 (11), 4232, 2019 | 11 | 2019 |
Some connections between importance sampling and enhanced sampling methods in molecular dynamics HC Lie, J Quer The Journal of chemical physics 147 (19), 194107, 2017 | 11 | 2017 |
Randomised one-step time integration methods for deterministic operator differential equations HC Lie, M Stahn, TJ Sullivan Calcolo 59 (1), 1-33, 2022 | 7 | 2022 |
Γ-convergence of Onsager–Machlup functionals: II. Infinite product measures on Banach spaces B Ayanbayev, I Klebanov, HC Lie, TJ Sullivan Inverse Problems 38 (2), 025006, 2021 | 7 | 2021 |
Convexity of a stochastic control functional related to importance sampling of It\^ o diffusions HC Lie arXiv preprint arXiv:1603.05900, 2016 | 5 | 2016 |
On a strongly convex approximation of a stochastic optimal control problem for importance sampling of metastable diffusions HC Lie Freie Universität Berlin, 2016 | 5 | 2016 |
Dimension‐independent Markov chain Monte Carlo on the sphere HC Lie, D Rudolf, B Sprungk, TJ Sullivan Scandinavian Journal of Statistics, 2021 | 4 | 2021 |
On a degeneracy ratio for bounded convex polytopes N Cvetković, HC Lie arXiv preprint arXiv:1907.06085, 2019 | 3 | 2019 |
Quasi-invariance of countable products of Cauchy measures under non-unitary dilations HC Lie, TJ Sullivan Electronic Communications in Probability 23, 2018 | 3 | 2018 |
Towards breaking the curse of dimensionality in computational methods for the conformational analysis of molecules HC Lie BMC bioinformatics 15 (3), A2, 2014 | 3 | 2014 |
Frechet derivatives of expected functionals of solutions to stochastic differential equations HC Lie arXiv preprint arXiv:2106.09149, 2021 | 2 | 2021 |
Error Bounds for Some Approximate Posterior Measures in Bayesian Inference. HC Lie, TJ Sullivan, AL Teckentrup ENUMATH, 275-283, 2019 | 2 | 2019 |
Choosing observation operators to mitigate model error in Bayesian inverse problems N Cvetković, HC Lie, H Bansal, K Veroy-Grepl arXiv preprint arXiv:2301.04863, 2023 | 1 | 2023 |
A convergent discretization method for transition path theory for diffusion processes N Cvetkovic, T Conrad, HC Lie Multiscale Modeling & Simulation 19 (1), 242-266, 2021 | 1 | 2021 |