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Image Credit: Arxiv

Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometries

  • Kolmogorov-Arnold Networks (KANs) are being used in deep learning applications in computational physics.
  • Physics-informed Kolmogorov-Arnold PointNet (PI-KAN-PointNet) allows simultaneous solution of an inverse problem over multiple irregular geometries in a single training run.
  • PI-KAN-PointNet provides more accurate predictions compared to physics-informed PointNet with MLPs.
  • Combining KAN and MLP in constructing a physics-informed PointNet leads to the optimal configuration.

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