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Leonid Sarieddine

2 papers indexed

arxivcs.LGmath.NAphysics.comp-ph2026-07-07

Physics-Informed Neural Embeddings of PDE Solution Families

Raul Jimenez, Svitlana Mayboroda, Pavlos Protopapas, Leonid Sarieddine, David N. Spergel, Pedro Tarancón-Álvarez

We introduce a physics-informed framework for learning finite-dimensional embeddings of solution families of partial differential equations. The method uses a multihead Physics-Informed Neural Network in which a shared body learns a latent manifold representing the solution space…

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arxivcs.LGeess.IVmath.NA2026-06-26

Recovering Sharp Conductivity Features in the Finite-Data Calderón Problem with Physics-Informed Neural Networks

Ali AlHadi Kalout, Pablo Tejerina-Pérez, Konstantin Karchev, Pedro Tarancón-Álvarez, Leonid Sarieddine, Raul Jimenez, et al.

Physics-informed neural networks (PINNs) have recently emerged as a promising framework for addressing the Calderón inverse problem from limited boundary data. In this work, we revisit neural Calderón inversion by introducing multiscale boundary excitations based on randomized wa…

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