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Author

F. S. Costabal

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Preprint Sep 2026

iLogMap: Geodesic Polar Coordinates Parameterization with the Magnetic Laplacian

iLogMap is introduced, a method for computing GPCs in curved domains that recasts the angular component of the logarithmic map to a ground-state magnetic eigenproblem over the circumferential direction field of geodesic distance, enabling cylindrical and spherical parameterizations in tetrahedral meshes.

Tomás Banduc, Simone Pezzuto, F. S. Costabal · 0 citations
#machine learning Preprint Oct 2026

Operator-informed initialization for Fourier features physics-informed neural networks

Physics-Informed Neural Networks (PINNs) typically exhibit spectral bias, where some frequencies of the target function converge more slowly than others. In this work, we analyze the training dynamics of Fourier Feature PINNs in the Neural Tangent Kernel regime to address this limitation. We derive an explicit evolutio...

Juan Molina, P. Perdikaris, Mircea Petrache et al. · 0 citations

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