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Integral Formulation of QENDy for Robust Nonlinear System Identification

arXiv 2606.11629 ↗First posted 10 Jun 2026math.DS cs.LGcited by 0

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Abstract (arXiv)

This manuscript proposes an integral formulation of the newly defined quadratic embedding method for identifying nonlinear systems (QENDy). In the original algorithm, trajectory data points along with their time derivatives are used. Methods for calculating time derivatives make the algorithm sensitive to noise. Our integral formulation does not use the time derivatives. This results in a more robust method to learn the dynamics.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 6 of its 14 references that are in the map. First posted on arXiv 10 Jun 2026.

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References · 6

  1. 2020Weak SINDy For Partial Differential Equationscited by 155
  2. 2023The Multiverse of Dynamic Mode Decomposition Algorithmscited by 26
  3. 2022Generalized Quadratic Embeddings for Nonlinear Dynamics using Deep Learningcited by 9
  4. 2024Dynamical systems and complex networks: A Koopman operator perspectivecited by 9
  5. 2021The kernel perspective on dynamic mode decompositioncited by 3
  6. 2025Data-driven system identification using quadratic embeddings of nonlinear dynamicscited by 1

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