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PhD candidate at the Departament of Mathematical Engineering (DIM) of the University of Chile, under the advice of Prof. Claudio Muñoz .
Previously, Claudio Muñoz was my master thesis advisor at the DIM of the University of Chile.
Contact Information: nvalenzuela (at) dim (dot) uchile (dot) cl
My research interest:
My research interest:
I am interested in Deep Neural Networks (DNNs) theory applied to Partial Differential Equations (PDEs). In particular, I like to work with Physics Informed Neural Networks (PINNs), Operator Learning, such as DeepONets, Fourier Neural Operators (FNOs), among others. I am also interested in the universal approximation of solutions of some PDEs via ReLU DNNs overcoming the curse of dimensionality (CoD).
Prediction of mKdV 2-Soliton via DNNs
Research stays
Research stays
Basque Center of Applied Mathematics (BCAM), Spain, with Professor Luca Fanelli. January-March 2024.
Inria Scool team, France, with Professor Phillip Preux. February-March 2025.
Basque Center of Applied Mathematics (BCAM), Spain, with Professor Luca Fanelli. May-July 2025.
Fellowships
Fellowships
ANID-Subdirección de Capital Humano/Doctorado Nacional/2023-21231021.
Latin America Google PhD Fellowship (2023). Under the mentoring of Pablo Samuel Castro.
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