Year | Research field | Title | Journal | Authors |

2020 | Nonparametric statistics | On data-driven choice of 𝜆 in nonparametric Gaussian regression via Propagation–Separation approach | Computational Statistics & Data Analysis | Ewelina Fiebig |

2020 | Algebraic topology | A framework for geometric field theories and their classification in dimension one | (submitted) | Matthias Ludewig, Augusto Stoffel |

2020 | Machine Learning Theory | Singular Value Decomposition of Operators on Reproducing Kernel Hilbert Spaces | Advances in Dynamics, Optimization and Computation (book chapter) | Mattes Mollenhauer, Ingmar Schuster, Stefan Klus, Christof Schütte |

2020 | Nonparametric statistics | Kernel Conditional Density Operators | AISTATS 2020 | Ingmar Schuster, Mattes Mollenhauer, Stefan Klus, Krikamol Muandet |

2020 | Statistics, Machine Learning Theory | VarGrad: A Low-Variance Gradient Estimator for Variational Inference | Advances in Neural Information Processing Systems | Lorenz Richter, Ayman Boustati, Nikolas Nüsken, Francisco J. R. Ruiz, Ömer Deniz Akyildiz |

2020 | Stochastic processes | Model Order Reduction for (Stochastic-) Delay Equations With Error Bounds | (submitted) | Simon Becker, Lorenz Richter |

2020 | Stochastic processes | Kernel autocovariance operators of stationary processes: Estimation and convergence | (submitted) | Mattes Mollenhauer, Stefan Klus, Christof Schütte, Péter Koltai |

2020 | Stochastic processes, Optimal control, PDEs | Solving high-dimensional Hamilton-Jacobi-Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space | (submitted) | Nikolas Nüsken, Lorenz Richter |

2019 | Applied topology | The Conley index for discrete dynamical systems and the mapping torus | Journal of Applied and Computational Topology | Frank Weilandt |

2019 | Quantum physics | Quantum rolling friction | Physical review letters | Francesco Intravaia, Marty Oelschläger, Daniel Reiche, Diego A. R. Dalvit, Kurt Busch |

2019 | Quantum physics | Extended hydrodynamic description for nonequilibrium atom-surface interactions | JOSA B | Daniel Reiche, Marty Oelschläger, Kurt Busch, Francesco Intravaia |

2019 | Nonlinear dynamics, Machine Learning Theory | Kernel methods for detecting coherent structures in dynamical data | Chaos: An Interdisciplinary Journal of Nonlinear Science | Stefan Klus, Brooke E. Husic, Mattes Mollenhauer, Frank Noé |

2019 | Statistical physics | Variational approach to rare event simulation using least-squares regression | Chaos | Carsten Hartmann, Omar Kebiri, Lara Neureither, Lorenz Richter |

2019 | Stochastic processes | Feedback control theory & Model order reduction for stochastic equations | (submitted) | Simon Becker, Carsten Hartmann, Martin Redmann, Lorenz Richter |

2018 | Algebraic geometry, High energy physics | Toric geometry and regularization of Feynman integrals | (unpublished) | Konrad Schultka |

2018 | Algebraic topology | Supersymmetric field theories from twisted vector bundles | Communications in Mathematical Physics | Augusto Stoffel |

2018 | Quantum physics | Nonequilibrium atom-surface interaction with lossy multilayer structures | Physical Review A | Marty Oelschläger, Kurt Busch, Francesco Intravaia |

2018 | Theoretical Physics | Holographic Gauged NJL Model: the Conformal Window and Ideal Walking | Physical Review D | Kazem Bitaghsir Fadafan, William Clemens, Nick Evans |

2017 | Algebraic topology | Dimensional reduction and the equivariant Chern character | Algebraic and Geometric Topology | Augusto Stoffel |

2017 | Statistical physics | Variational characterization of free energy: Theory and algorithms | Entropy | Carsten Hartmann, Lorenz Richter, Christof Schütte, Wei Zhang |

2017 | Theoretical Physics | A Holographic Study of the Gauged NJL Model | Physical Letters B | William Clemens, Nick Evans |

2017 | Theoretical Physics | Holograms of a Dynamical Top Quark | Physical Review D | William Clemens, Nick Evans, Marc Scott |

2016 | Computational Dynamical Systems | Discretization strategies for computing Conley indices and Morse decompositions of flows | Journal of Computational Dynamics | Konstantin Mischaikow, Marian Mrozek, Frank Weilandt |

2016 | Computational Neuroscience | Mechanisms of self-sustained oscillatory states in hierarchical modular networks with mixtures of electrophysiological cell types | Frontiers in Computational Neuroscience | Petar Tomov, Rodrigo F. O. Pena, Antonio C. Roque, Michael A. Zaks |

2016 | Nonlinear dynamics | Onset of time dependence in ensembles of excitable elements with global repulsive coupling | Physical Review E | Michael A. Zaks, Petar Tomov |

2015 | Computational Dynamical Systems | A topological approach to the algorithmic computation of the Conley index for Poincaré maps | SIAM Journal on Applied Dynamical Systems | Marian Mrozek, Roman Srzednicki, Frank Weilandt |

2014 | Computational Neuroscience | Sustained oscillations, irregular firing, and chaotic dynamics in hierarchical modular networks with mixtures of electrophysiological cell types | Frontiers in Computational Neuroscience | Petar Tomov, Rodrigo F. O. Pena, Michael A. Zaks, Antonio C. Roque |