Latent Diffeomorphic Dynamic Mode Decomposition

Fuente: arXiv
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Autori principali: Diepeveen, Willem, Schwenk, Jon, Bertozzi, Andrea
Natura: Preprint
Pubblicazione: 2025
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author Diepeveen, Willem
Schwenk, Jon
Bertozzi, Andrea
author_facet Diepeveen, Willem
Schwenk, Jon
Bertozzi, Andrea
contents We present Latent Diffeomorphic Dynamic Mode Decomposition (LDDMD), a new data reduction approach for the analysis of non-linear systems that combines the interpretability of Dynamic Mode Decomposition (DMD) with the predictive power of Recurrent Neural Networks (RNNs). Notably, LDDMD maintains simplicity, which enhances interpretability, while effectively modeling and learning complex non-linear systems with memory, enabling accurate predictions. This is exemplified by its successful application in streamflow prediction.
format Preprint
id arxiv_https___arxiv_org_abs_2505_06351
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Latent Diffeomorphic Dynamic Mode Decomposition
Diepeveen, Willem
Schwenk, Jon
Bertozzi, Andrea
Machine Learning
Dynamical Systems
We present Latent Diffeomorphic Dynamic Mode Decomposition (LDDMD), a new data reduction approach for the analysis of non-linear systems that combines the interpretability of Dynamic Mode Decomposition (DMD) with the predictive power of Recurrent Neural Networks (RNNs). Notably, LDDMD maintains simplicity, which enhances interpretability, while effectively modeling and learning complex non-linear systems with memory, enabling accurate predictions. This is exemplified by its successful application in streamflow prediction.
title Latent Diffeomorphic Dynamic Mode Decomposition
topic Machine Learning
Dynamical Systems
url https://arxiv.org/abs/2505.06351