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Image Credit: Arxiv

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics

  • A data-driven method has been introduced for learning the equations of motion of mechanical systems directly from position measurements, without requiring access to velocity data.
  • The method utilizes the discrete Lagrange-d'Alembert principle and forced discrete Euler-Lagrange equations to construct a physically grounded model of the system's dynamics.
  • The dynamics are decomposed into conservative and non-conservative components, which are learned separately using feed-forward neural networks.
  • The approach was validated on synthetic and real-world datasets, showcasing its effectiveness in reconstructing and separating conservative and forced dynamics.

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