An Averaging Principle for Fast Degrees of Freedom Exhibiting Long-Term Correlations. - Christof Schütte; Jessika Walter; Carsten Hartmann; Wilhelm Huisinga (Multiscale Model. Simul., 2004)

Balancing of partially-observed stochastic differential equations. - Carsten Hartmann; Christof Schütte (CDC, 2008)

Balanced Truncation of Linear Second-Order Systems: A Hamiltonian Approach. - Carsten Hartmann; Valentina-Mira Vulcanov; Christof Schütte (Multiscale Model. Simul., 2010)

Free energy computation by controlled Langevin dynamics. - Juan C. Latorre; Carsten Hartmann; Christof Schütte (ICCS, 2010)

Variational collision integrator for polymer chains. - Sigrid Leyendecker; Carsten Hartmann; Michael Koch 008 (J. Comput. Phys., 2012)

Optimal control of molecular dynamics using Markov state models. - Christof Schütte; Stefanie Winkelmann; Carsten Hartmann (Math. Program., 2012)

Balanced Averaging of Bilinear Systems with Applications to Stochastic Control. - Carsten Hartmann; Boris Schäfer-Bung; Anastasia Thöns-Zueva (SIAM J. Control. Optim., 2013)

Characterization of Rare Events in Molecular Dynamics. - Carsten Hartmann; Ralf Banisch; Marco Sarich; Tomasz Badowski; Christof Schütte (Entropy, 2014)

Markov State Models for Rare Events in Molecular Dynamics. - Marco Sarich; Ralf Banisch; Carsten Hartmann; Christof Schütte (Entropy, 2014)

Applications of the Cross-Entropy Method to Importance Sampling and Optimal Control of Diffusions. - Wei Zhang 065; Han Wang; Carsten Hartmann; Marcus Weber; Christof Schütte (SIAM J. Sci. Comput., 2014)

Learning Inverse Statics Models Efficiently. - Rania Rayyes; Daniel Kubus; Carsten Hartmann; Jochen J. Steil (CoRR, 2017)

Variational Characterization of Free Energy: Theory and Algorithms. - Carsten Hartmann; Lorenz Richter; Christof Schütte; Wei Zhang 065 (Entropy, 2017)

Optimal control of linear systems with balanced reduced-order models: Perturbation approximations. - Adnan Daraghmeh; Naji Qatanani; Carsten Hartmann (Appl. Math. Comput., 2018)

Singularly Perturbed Forward-Backward Stochastic Differential Equations: Application to the Optimal Control of Bilinear Systems. - Omar Kebiri; Lara Neureither; Carsten Hartmann (Comput., 2018)

WavePacket: A Matlab package for numerical quantum dynamics.II: Open quantum systems, optimal control, and model reduction. - Burkhard Schmidt 001; Carsten Hartmann (Comput. Phys. Commun., 2018)

Balanced model reduction of linear systems with nonzero initial conditions: Singular perturbation approximation. - Adnan Daraghmeh; Carsten Hartmann; Naji Qatanani (Appl. Math. Comput., 2019)

Feedback control theory & Model order reduction for stochastic equations. - Simon Becker; Carsten Hartmann; Martin Redmann; Lorenz Richter (CoRR, 2019)

Infinite-dimensional bilinear and stochastic balanced truncation with explicit error bounds. - Simon Becker; Carsten Hartmann (Math. Control. Signals Syst., 2019)

Coarse Graining of Nonreversible Stochastic Differential Equations: Quantitative Results and Connections to Averaging. - Carsten Hartmann; Lara Neureither; Upanshu Sharma (SIAM J. Math. Anal., 2020)

Long Short-Term Memory Neural Network for Temperature Prediction in Laser Powder Bed Additive Manufacturing. - Ashkan Mansouri Yarahmadi; Michael Breuß; Carsten Hartmann (IntelliSys (3), 2022)

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

Overcoming the timescale barrier in molecular dynamics: Transfer operators, variational principles and machine learning. - Christof Schütte; Stefan Klus; Carsten Hartmann (Acta Numer., 2023)

Synchronized states of power grids and oscillator networks by convex optimization. - Carsten Hartmann; Philipp C. Böttcher; David Gross 003; Dirk Witthaut (CoRR, 2024)

Quantum Annealing based Power Grid Partitioning for Parallel Simulation. - Carsten Hartmann; Junjie Zhang; Carlos D. Gonzalez Calaza; Thiemo Pesch; Kristel Michielsen; Andrea Benigni (CoRR, 2024)

Towards a Reliable Offline Personal AI Assistant for Long Duration Spaceflight. - Oliver Bensch; Leonie Bensch; Tommy Nilsson; Florian Saling; Wafa Sadri; Carsten Hartmann; Tobias Hecking; J. Nathan Kutz (CoRR, 2024)

Nonasymptotic Bounds for Suboptimal Importance Sampling. - Carsten Hartmann; Lorenz Richter (SIAM/ASA J. Uncertain. Quantification, 2024)

Optimal Relaxed Control for a Decoupled G-FBSDE. - Hafida Bouanani; Omar Kebiri; Carsten Hartmann; Amel Redjil (J. Optim. Theory Appl., 2024)