Number of items: **26**.

## 2021

Richter, Lorenz and Sallandt, Leon and Nüsken, Nikolas
(2021)
*Solving high-dimensional parabolic PDEs using the tensor train format.*
arXiv
.
pp. 1-17.
(Unpublished)

Hartmann, C. and Richter, L.
(2021)
*Nonasymptotic bounds for suboptimal importance sampling.*
arXive
.
pp. 1-26.
(Unpublished)

## 2020

Richter, Lorenz and Boustati, Ayman and Nüsken, Nikolas and Ruiz, Francisco J. R. and Akyildiz, Ömer Deniz
(2020)
*VarGrad: A Low-Variance Gradient Estimator for Variational Inference.*
Advances in Neural Information Processing Systems 2020
.
pp. 1-25.
(Submitted)

Nüsken, N. and Richter, L.
(2020)
*Solving high-dimensional Hamilton-Jacobi-Bellman PDEs using
neural networks: perspectives from the theory of controlled diffusions and measures on path space.*
SFB 1114 Preprint in arXiv
.
pp. 1-40.
(Submitted)

## 2019

Hartmann, C. and Neureither, L. and Sharma, U.
(2019)
*Coarse-graining of non-reversible stochastic differential equations: quantitative results and connections to averaging.*
SIAM J. Math. Anal.
.
pp. 1-39.
(Submitted)

Kebiri, O. and Neureither, L. and Hartmann, C.
(2019)
*Adaptive importance sampling with forward-backward stochastic differential equations.*
In:
Stochastic Dynamics Out of Equilibrium. IHPStochDyn 2017.
Springer Proceedings in Mathematics & Statistics, 282
.
Springer, pp. 265-281.
ISBN 978-3-030-15095-2

Neureither, L. and Hartmann, C.
(2019)
*Time scales and exponential trends to equilibrium: Gaussian model problems.*
In:
Stochastic Dynamics Out of Equilibrium. IHPStochDyn 2017.
Springer Proceedings in Mathematics & Statistics, 282
.
Springer, pp. 391-410.
ISBN 978-3-030-15095-2

Hartmann, C. and Kebiri, O. and Neureither, L. and Richter, L.
(2019)
*Variational approach to rare event simulation using least-squares regression.*
Chaos, 29
(6).
063107.
ISSN 1054-1500 (print); 1089-7682 (online)

Hartmann, C. and Schütte, Ch. and Zhang, W.
(2019)
*Jarzysnki equality, fluctuation theorems and variance reduction: Mathematical analysis and numerical algorithms.*
J. Stat. Phys., 175
(6).
pp. 1214-1261.
ISSN 0022-4715; ESSN: 1572-9613

## 2018

Donati, L. and Heida, M. and Weber, M. and Keller, B.
(2018)
*Estimation of the infinitesimal generator by square-root approximation.*
Journal of Physics: Condensed Matter, 30
(42).
p. 425201.
ISSN 0953-8984, ESSN: 1361-648X

Kebiri, O. and Neureither, L. and Hartmann, C.
(2018)
*Singularly perturbed forward-backward stochastic differential equations: application to the optimal control of bilinear systems.*
Computation, 6
(3).
p. 41.
ISSN 2079-3197 (online)

Hartmann, C. and Schütte, Ch. and Weber, M. and Zhang, W.
(2018)
*Importance sampling in path space for diffusion processes with
slow-fast variables.*
Probab. Theory Rel. Fields, 170
(1-2).
pp. 177-228.
ISSN 0178-8051 (print) 1432-2064 (online)

Weber, M.
(2018)
*Implications of PCCA+ in Molecular Simulation.*
Computation, 6
(1).
ISSN 2079-3197 (online)

## 2017

Hartmann, C. and Richter, L. and Schütte, Ch. and Zhang, W.
(2017)
*Variational characterization of free energy: theory and algorithms.*
Entropy (Special Issue), 19
(11).
pp. 1-27.
ISSN 1099-4300

Quer, J. and Lie, H.
(2017)
*Some connections between importance sampling and enhanced sampling methods in molecular dynamics.*
Journal of Chemical Physics
.
pp. 1-19.
ISSN 0021-9606

Delle Site, L. and Ciccotti, G. and Hartmann, C.
(2017)
*Partitioning a macroscopic system into independent subsystems.*
Journal of Statistical Mechanics: Theory and Experiment, 2017
.
pp. 1-13.

Quer, J. and Donati, L. and Keller, B.G. and Weber, M.
(2017)
*An automatic adaptive importance sampling algorithm for molecular dynamics in reaction coordinates.*
SIAM J. Sci. Comput.
.
pp. 1-19.
ISSN 1064-8275 (print)
(In Press)

Weber, M. and Fackeldey, K. and Schütte, Ch.
(2017)
*Set-free Markov state model building.*
Journal of Chemical Physics, 146
(12).
p. 124133.

## 2016

Koltai, P. and Ciccotti, G. and Schütte, Ch.
(2016)
*On metastability and Markov state models for non-stationary molecular dynamics.*
Journal of Chemical Physics, 145
(17).
p. 174103.

Quer, J. and Weber, M.
(2016)
*Estimating exit rate for rare event dynamical systems by extrapolation.*
ZIB-Report
.
pp. 1-19.
ISSN 2192-7782 (online)

Banisch, Ralf and Hartmann, C.
(2016)
*A sparse Markov chain approximation of LQ-type stochastic control problems.*
Math. Control Relat. F., 6
(3).
pp. 363-389.
ISSN 1064-8275

Hartmann, C. and Schütte, Ch. and Zhang, W.
(2016)
*Model reduction algorithms for optimal control and importance sampling of diffusions.*
Nonlinearity, 29
(8).
pp. 2298-2326.
ISSN 0951-7715

Zhang, W. and Hartmann, C. and Schütte, Ch.
(2016)
*Effective dynamics along given reaction coordinates, and reaction rate theory.*
Faraday discussions, 195
.
pp. 365-394.
ISSN 1359-6640

## 2015

Bittracher, Andreas and Hartmann, C. and Junge, O. and Koltai, Péter
(2015)
*Pseudo generators for under-resolved molecular dynamics.*
The European Physical Journal Special Topics, 224
(12).
pp. 2463-2490.
ISSN 1951-6355

## 2014

Hartmann, C. and Latorre, J.C. and Pavliotis, G. A. and Zhang, W.
(2014)
*Optimal control of multiscale systems using reduced-order models.*
J. Computational Dynamics, 1
(2).
pp. 279-306.
ISSN 2158-2505

Lie, Han Cheng and Schütte, Ch. and Hartmann, C.
(2014)
*Martingale-based gradient descent algorithm for estimating free energy values of diffusions.*
SIAM J. Sci. Comput.
.
ISSN 1064-8275
(Submitted)

This list was generated on **Thu Jul 29 09:47:31 2021 CEST**.