About
I am a
senior machine learning researcher at
Merantix Momentum.
Currently, my work is focused on the theory of
machine learning in infinite-dimensional spaces and incorporates ideas from
inverse problems, nonparametric statistics and uncertainty quantification.
I am particularly interested in models which have applications
in physics and stochastic processes, specifically molecular dynamics and fluid dynamics.
In 2022, I obtained my PhD under the supervision of Christof Schütte
in the Biocomputing group at the Department of Mathematics and Computer Science
of Freie Universität Berlin.
My
dissertation
investigates theoretical aspects of
nonparametric models for Markov processes.
During my PhD program, I spent some time doing R
&D
in the aircraft engine development division of
Rolls-Royce Deutschland,
where I worked on security critical machine learning software
for system identification and control.
During my time as a postdoctoral researcher in the group of Claudia Schillings
at Freie Universität Berlin, I focused on the theory of operator learning
and uncertainty quantification.
I also spent time with the people at
dida for
five years
—doing more practical work
on design and devops of deep learning systems for a variety of problems arising in
weather forecasting, remote sensing and image segmentation.
Publications and preprints
Reports and preprints
Mattes Mollenhauer and Claudia Schillings.
"On the concentration of subgaussian vectors and positive quadratic
forms in Hilbert spaces".
Preprint, 2023.
link
Mattes Mollenhauer, Nicole Mücke and Tim Sullivan.
"Learning linear operators: Infinite-dimensional regression
as a well-behaved non-compact inverse problem".
Preprint, 2022.
link
Mattes Mollenhauer and Péter Koltai.
"Nonparametric approximation of conditional expectation operators."
Preprint, 2020.
link
Accepted/published
Dimitri Meunier, Zikai Shen, Mattes Mollenhauer, Arthur Gretton and Zhu Li.
"Optimal Rates for Vector-Valued Spectral Regularization Learning Algorithms".
Advances in Neural Information Processing Systems, Vol. 38, 2024 (to appear).
link
Zhu Li, Dimitri Meunier, Mattes Mollenhauer and Arthur Gretton.
"Towards Optimal Sobolev Norm Rates for the Vector-Valued Regularized
Least-Squares Algorithm".
Journal of Machine Learning Research, 25(181):1−51, 2024.
link
Andreas Bittracher, Mattes Mollenhauer, Péter Koltai and Christof Schütte.
“Optimal Reaction Coordinates: Variational Characterization and Sparse Computation”.
SIAM Multiscale Modeling
& Simulation, 21:449-488, 2023.
link
Zhu Li, Dimitri Meunier, Mattes Mollenhauer and Arthur Gretton.
“Optimal Rates for Regularized Conditional Mean Embedding Learning”.
Advances in Neural Information Processing Systems, Vol. 36, 2022.
link
Mattes Mollenhauer, Stefan Klus, Christof Schütte and Péter Koltai.
“Kernel autocovariance operators of stationary processes: Estimation and convergence”.
Journal of Machine Learning Research, 23(327):1−34, 2022.
link
Mattes Mollenhauer, Ingmar Schuster, Stefan Klus and Christof Schütte.
“Singular Value Decomposition of Operators on Reproducing Kernel Hilbert Spaces”.
Advances in Dynamics, Optimization and Computation, 109-130, Springer, 2020.
link
Ingmar Schuster, Mattes Mollenhauer, Stefan Klus and Krikamol Muandet.
“Kernel Conditional Density Operators”.
23rd International Conference on Artificial Intelligence and Statistics (AISTATS), 2020.
link
Stefan Klus, Brooke E. Husic, Mattes Mollenhauer and Frank Noé.
“Kernel methods for detecting coherent structures in dynamical data”.
Chaos: An Interdisciplinary Journal of Nonlinear Science 29.12, 2019.
link
Miscellaneous
"On the Statistical Approximation of Conditional Expectation Operators".
PhD thesis, Freie Universität Berlin. 2022.
link