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State-Of-The-Art Algorithms For Low-Rank Dynamic Mode Decomposition

arXiv 2108.09160 ↗First posted 20 Aug 2021stat.ML cs.LGcited by 0

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Abstract (arXiv)

This technical note reviews sate-of-the-art algorithms for linear approximation of high-dimensional dynamical systems using low-rank dynamic mode decomposition (DMD). While repeating several parts of our article "low-rank dynamic mode decomposition: an exact and tractable solution", this work provides additional details useful for building a comprehensive picture of state-of-the-art methods.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 5 of its 34 references that are in the map. First posted on arXiv 20 Aug 2021.

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References · 5

  1. 2017Learning Deep Neural Network Representations for Koopman Operators of Nonlinear Dynamical Systemscited by 125
  2. 2014Data-Driven Model Reduction for the Bayesian Solution of Inverse Problemscited by 20
  3. 2016Low-Rank Dynamic Mode Decomposition: An Exact and Tractable Solutioncited by 2
  4. 2018Low-rank Approximation of Linear Mapscited by 1
  5. 2020Generalized Kernel-Based Dynamic Mode Decompositioncited by 1

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