Carsten Hartmann

Orcid: 0000-0002-7710-6888

According to our database1, Carsten Hartmann authored at least 23 papers between 2004 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
Overcoming the timescale barrier in molecular dynamics: Transfer operators, variational principles and machine learning.
Acta Numer., May, 2023

Transgressing the boundaries: towards a rigorous understanding of deep learning and its (non-)robustness.
CoRR, 2023

2022
Long Short-Term Memory Neural Network for Temperature Prediction in Laser Powder Bed Additive Manufacturing.
Proceedings of the Intelligent Systems and Applications, 2022

2021
Nonasymptotic bounds for suboptimal importance sampling.
CoRR, 2021

2020
Coarse Graining of Nonreversible Stochastic Differential Equations: Quantitative Results and Connections to Averaging.
SIAM J. Math. Anal., 2020

2019
Infinite-dimensional bilinear and stochastic balanced truncation with explicit error bounds.
Math. Control. Signals Syst., 2019

Feedback control theory & Model order reduction for stochastic equations.
CoRR, 2019

Balanced model reduction of linear systems with nonzero initial conditions: Singular perturbation approximation.
Appl. Math. Comput., 2019

2018
WavePacket: A Matlab package for numerical quantum dynamics.II: Open quantum systems, optimal control, and model reduction.
Comput. Phys. Commun., 2018

Singularly Perturbed Forward-Backward Stochastic Differential Equations: Application to the Optimal Control of Bilinear Systems.
Comput., 2018

Optimal control of linear systems with balanced reduced-order models: Perturbation approximations.
Appl. Math. Comput., 2018

2017
Variational Characterization of Free Energy: Theory and Algorithms.
Entropy, 2017

Learning Inverse Statics Models Efficiently.
CoRR, 2017

2014
Applications of the Cross-Entropy Method to Importance Sampling and Optimal Control of Diffusions.
SIAM J. Sci. Comput., 2014

Markov State Models for Rare Events in Molecular Dynamics.
Entropy, 2014

Characterization of Rare Events in Molecular Dynamics.
Entropy, 2014

2013
Balanced Averaging of Bilinear Systems with Applications to Stochastic Control.
SIAM J. Control. Optim., 2013

2012
Optimal control of molecular dynamics using Markov state models.
Math. Program., 2012

Variational collision integrator for polymer chains.
J. Comput. Phys., 2012

2010
Free energy computation by controlled Langevin dynamics.
Proceedings of the International Conference on Computational Science, 2010

Balanced Truncation of Linear Second-Order Systems: A Hamiltonian Approach.
Multiscale Model. Simul., 2010

2008
Balancing of partially-observed stochastic differential equations.
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

2004
An Averaging Principle for Fast Degrees of Freedom Exhibiting Long-Term Correlations.
Multiscale Model. Simul., 2004


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