Author

F. S. Costabal

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Preprint Sep 2026

iLogMap: Geodesic Polar Coordinates Parameterization with the Magnetic Laplacian

Geodesic polar coordinates (GPCs) provide an intrinsic parameterization over curved surfaces, but their accurate estimation remains challenging, particularly in the presence of anisotropic metrics, high curvature and complex topology. We introduce iLogMap, a method for computing GPCs in curved domains that recasts the...

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