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2023

Bittracher, Andreas and Mollenhauer, Mattes and Koltai, Péter and Schütte, Christof (2023) Optimal Reaction Coordinates: Variational Characterization and Sparse Computation. Multiscale Modeling & Simulation, 21 (2). pp. 449-488.

Mollenhauer, Mattes and Schillings, Claudia (2023) On the concentration of subgaussian vectors and positive quadratic forms in Hilbert spaces. arXiv . (Submitted)

Li, Z. and Meunier, D. and Mollenhauer, Mattes and Gretton, A. (2023) Optimal Rates for Regularized Conditional Mean Embedding Learning. Advances in Neural Information Processing Systems (NeurIPS), 36 . (Submitted)

Bittracher, Andreas and Mollenhauer, Mattes and Koltai, Péter and Schütte, Ch. (2023) Optimal Reaction Coordinates: Variational Characterization and Sparse Computation. Multiscale Modeling & Simulation, 21 (2). ISSN ISSN (print): 1540-3459 ISSN (online): 1540-3467

2022

Mollenhauer, Mattes and Klus, Stefan and Schütte, Christof and Koltai, Péter (2022) Kernel autocovariance operators of stationary processes: Estimation and convergence. Journal of Machine Learning Research, 23 (327). pp. 1-34.

Mollenhauer, Mattes and Mücke, Nicole and Sullivan, T.J. (2022) Learning linear operators: Infinite-dimensional regression as a well-behaved non-compact inverse problem. arXiv . (Submitted)

2021

Bittracher, Andreas and Mollenhauer, Mattes and Koltai, Péter and Schütte, Christof (2021) Optimal Reaction Coordinates: Variational Characterization and Sparse Computation. ArXiv . pp. 1-36. (Submitted)

Mollenhauer, Mattes and Koltai, Péter (2021) Nonparametric approximation of conditional expectation operators. arXiv . (Unpublished)

2020

Schuster, Ingmar and Mollenhauer, Mattes and Klus, Stefan and Muandet, K. (2020) Kernel Conditional Density Operators. In: 23rd International Conference on Artificial Intelligence and Statistics (AISTATS), August 26 - 28, 2020, Online.

Mollenhauer, Mattes and Schuster, Ingmar and Klus, Stefan and Schütte, Christof (2020) Singular Value Decomposition of Operators on Reproducing Kernel Hilbert Spaces. Advances in Dynamics, Optimization and Computation . pp. 109-131.

2019

Klus, Stefan and Husic, Brooke E. and Mollenhauer, Mattes and Noé, Frank (2019) Kernel methods for detecting coherent structures in dynamical data. Chaos, 29 (12).