most citedKoopman-informed recurrent neural networks

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cs.LG20261 cited

Koopman-informed recurrent neural networks

Erik Lien Bolager, Ana Čukarska, Iryna Burak +2

Recurrent neural networks are a successful neural architecture for many time-dependent problems, including time series analysis, forecasting, and modeling of dynamical systems. In…

cs.LG2026

Detecting Invariant Manifolds in ReLU-Based RNNs

Lukas Eisenmann, Alena Brändle, Zahra Monfared +1

Recurrent Neural Networks (RNNs) have found widespread applications in machine learning for time series prediction and dynamical systems reconstruction, and experienced a recent re…

cs.LG2026

Contrastive and Multi-Task Learning on Noisy Brain Signals with Nonlinear Dynamical Signatures

Sucheta Ghosh, Felix Dietrich, Zahra Monfared

We introduce a two-stage multitask learning framework for analyzing Electroencephalography (EEG) signals that integrates denoising, dynamical modeling, and representation learning.…

cs.LG2024

Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in Dynamical Systems Reconstruction

Manuel Brenner, Christoph Jürgen Hemmer, Zahra Monfared +1

Dynamical systems (DS) theory is fundamental for many areas of science and engineering. It can provide deep insights into the behavior of systems evolving in time, as typically des…

cs.LG2024

Out-of-Domain Generalization in Dynamical Systems Reconstruction

Niclas Göring, Florian Hess, Manuel Brenner +2

In science we are interested in finding the governing equations, the dynamical rules, underlying empirical phenomena. While traditionally scientific models are derived through cycl…