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Optimal Kernel-Based Dynamic Mode Decomposition

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extended DMD, kernel-based methods

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      Abstract

      The state-of-the-art algorithm known as kernel-based dynamic mode decomposition (K-DMD) provides a sub-optimal solution to the problem of reduced modeling of a dynamical system based on a finite approximation of the Koopman operator. It relies on crude approximations and on restrictive assumptions. The purpose of this work is to propose a kernel-based algorithm solving exactly this low-rank approximation problem in a general setting.

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      Affiliations
      [1 ]Inria, Center of Rennes Bretagne Atlantique
      [* ]Correspondence: patrick.heas@ 123456inria.fr
      Journal
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      ScienceOpen
      27 April 2018
      10.14293/P2199-8442.1.SOP-MATH.VQJFCZ.v1
      Copyright © 2018

      This work has been published open access under Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com.

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