Comparison of mode selection and reconstructions obtained by DyCA and DMD with respect to noise robustness and sampling

Stiehl, Annika; Weeger, Nicolas; Uhl, Christian (2025)

Lecture Notes in Electrical Engineering 2025.

DyCA and DMD: Differences and Similarities in Theory and Application

Uhl, Christian; Stiehl, Annika; Weeger, Nicolas (2024)

SIAM Conference on Mathematics of Data Science (MDS24) 2024.

Disentangling dynamic and stochastic modes in multivariate time series

Uhl, Christian; Stiehl, Annika; Weeger, Nicolas; Schlarb, Markus; Hüper, Knut (2024)

Frontiers in Applied Mathematics and Statistics 10-2024.
DOI: 10.3389/fams.2024.1456635

DyCA - Dynamical Component Analysis: Theory and Applications

Uhl, Christian (2024)

Physics Colloquium, Department of Pysics in partnership with Center of Complex Systems, Florida Atlantic University, Boca Raton, Florida, USA.

Cost Function Approach for Dynamical Component Analysis: Full Recovery of Mixing and State Matrix

Hüper, Knut; Schlarb, Markus; Uhl, Christian (2024)

Automation 2024, Advances on Automatic Control and Soft Computing von der 15. APCA International Conference CONTROLO'2022 2024, 5(3), S. 360-372.
DOI: 10.3390/automation5030022

Signal analysis and classification of interictal epileptiform discharges from EEG with machine learning

Stiehl, Annika; Geißelsöder, Stefan; Anselstetter, Fabienne; Bornfleth, Harald; Ille, Nicole; Uhl, Christian (2023)

Stiehl, Annika; Geißelsöder, Stefan; Anselstetter, Fabienne; Bornfleth, Harald...

BMT 2023, Abstracts of the 57th Annual Meeting of the German Society of Biomedical Engineering 26 – 28 September 2023, Duisburg 2023.
DOI: 10.1515/bmte-2023-2001

Topological Analysis of Low Dimensional Phase Space Trajectories of High Dimensional EEG Signals For Classification of Interictal Epileptiform Discharges

Stiehl, Annika; Flammer, M; Anselstetter, Fabienne; Ille, Nicole; Bornfleth, Harald; Geißelsöder, Stefan; Uhl, Christian (2023)

Stiehl, Annika; Flammer, M; Anselstetter, Fabienne; Ille, Nicole; Bornfleth, Harald...

2023 IEEE International Conference on Acoustics, Speech, and Signal Processing Workshops (ICASSPW), Rhodes Island, Greece, S. 1-5.
DOI: 10.1109/ICASSPW59220.2023.10193167

Robust Dynamical Component Analysis and its Application on Epileptic EEG and Motion Sense Data

Warmuth, Monika; Romberger, Philipp; Uhl, Christian; Hüper, Knut (2022)

Proceedings of the Workshop Biosignal 2022, August 24th - 26th, Dresden.

A Matrix Formulation of Dynamical Component Analysis (DyCA)

Romberger, Philipp; Warmuth, Monika; Uhl, Christian; Hüper, Knut (2022)

Proceedings of the Workshop Biosignal 2022, August 24th - 26th, Dresden .

Different montages and dimension reduction methods for EEG signal analysis of Interictal Epileptic Discharges

Stiehl, Annika; Anselstetter, Fabienne; Ille, Nicole; Bornfleth, Harald; Geißelsöder, Stefan; Uhl, Christian (2022)

Stiehl, Annika; Anselstetter, Fabienne; Ille, Nicole; Bornfleth, Harald...

BMT 2022, Abstracts of the 2022 Joint Annual Conference of the Austrian (ÖGBMT), German (VDE DGBMT) and Swiss (SSBE)Societies for Biomedical Engineering 67 (S1), S. 88.
DOI: 10.1515/bmt-2022-2001

Dimension reduction methods, persistent homology ans machine learning for EEG signal analysis of Interictal Epileptic Discharges

Stiehl, Annika; Geißelsöder, Stefan; Ille, Nicole; Anselstetter, Fabienne; Bornfleth, Harald; Uhl, Christian (2022)

Stiehl, Annika; Geißelsöder, Stefan; Ille, Nicole; Anselstetter, Fabienne...

Proceedings of the Workshop Biosignale 2022 (24. - 26.08.2022).
DOI: 10.48550/arXiv.2502.12814

Identification of Low-Dimensional Nonlinear Dynamics from High-Dimensional Simulated and Real-World Data

Paglia, Chiara; Stiehl, Annika; Uhl, Christian (2022)

CONTROLO 2022. Lecture Notes in Electrical Engineering 930, S. 205-213.
DOI: 10.1007/978-3-031-10047-5_18

Dynamical Component Analysis: Matrix Case and Differential Geometric Point of View

Romberger, Philipp; Warmuth, Monika; Uhl, Christian; Hüper, Knut (2022)

CONTROLO 2022. Lecture Notes in Electrical Engineering 930, S. 385-394.
DOI: 10.1007/978-3-031-10047-5_34

Dynamical Component Analysis: Updated and improved algorithm, applications, and limitations

Warmuth, Monika; Romberger, Philipp; Hüper, Knut; Uhl, Christian (2022)

ITISE 2022, 27. - 30.06.2022, Gran Canaria, Spanien.

A Comparative Study of Dynamic Mode Decomposition (DMD) and Dynamical Component Analysis (DyCA)

Kern, Moritz; Uhl, Christian; Warmuth, Monika (2021)

CONTROLO 2020. Lecture Notes in Electrical Engineering 695, S. 93-103.
DOI: 10.1007/978-3-030-58653-9_9

Dimension Reduction: from Principle Component Analysis (PCA) to Dynamical Component Analysis (DyCA)

Frühauf, Christine; Kern, Moritz; Korn, Katharina; Uhl, Christian (2020)

Ute Ambrosius und Patrick Gröner (Hg.): Ansbacher Kaleidoskop 2020. Düren: Shaker Verlag (campus_edition Hochschule Ansbach), S. 192-209.

Determinismus-Test von niedrigdimensionalen Signalen eingebettet in hochdimensionalen multivariaten Zeitreihen: Anwendung auf EEG-Daten

Frühauf, Christine; Hartmann, Steffen; Seifert, Bastian; Uhl, Christian (2020)

Workshop Biosignale 2020, Kiel, 11.03.2020.

Dimensionsreduktion von EEG-Daten mit Dynamical Component Analysis (DyCA)

Kern, Moritz; Korn, Katharina; Uhl, Christian (2020)

Workshop Biosignale 2020. Kiel, 11.03.2020.

Editorial: Recurrence Analysis of Complex Systems Dynamics

beim Graben, Peter; Hutt, Axel; Marwan, Norbert; Uhl, Christian; Webber, Charles (2020)

Frontiers in Applied Mathematics and Statistics 6.
DOI: 10.3389/fams.2020.00033

Determinism Testing of Low-Dimensional Signals Embedded in High-Dimensional Multivariate Time Series

Frühauf, Christine; Hartmann, Steffen; Seifert, Bastian; Uhl, Christian (2020)

Chaos and Complex Systems. Proceedings of the 5th International Interdisciplinary Chaos Symposium. Berlin: Springer Nature 5, S. 3-14.