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Your search keyword '"Barcena A"' showing total 8 results
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8 results on '"Barcena A"'

1. A theoretical analysis on the resolution of parametric PDEs via neural networks designed with Strassen algorithm

Author

Romera, Gonzalo and Bárcena-Petisco, Jon Asier

Subjects
Mathematics - Numerical Analysis, Mathematics - Functional Analysis, 35A35, 35J99, 41A25, 41A46, 65N30, 68T07
Abstract

We construct a Neural Network that approximates the matrix multiplication operator for any activation functions for which there exist a Neural Network which can approximate the scalar multiplication function. In particular, we use the Strassen algorithm for reducing the number of weights and layers needed for such Neural Network. This allows us to define another Neural Network for approximating the inverse matrix operator. Also, by relying on the Galerkin method, we apply those Neural Networks for resolving parametric elliptic PDEs for a whole set of parameters at the same time. Finally, we discuss the improvements with respect to prior results.

Published
2025

3. Bismuth-infused perivascular wrap facilitates delivery of mesenchymal stem cells and attenuation of neointimal hyperplasia in rat arteriovenous fistulas

Author

Barcena, Allan John R., Perez, Joy Vanessa D., Bernardino, Marvin R., Damasco, Jossana A., San Valentin, Erin Marie D., Klusman, Carleigh, Martin, Benjamin, Canlas, Gino Martin, Heralde, Francisco M., III, Fowlkes, Natalie, Bouchard, Richard R., Cheng, Jizhong, Huang, Steven Y., and Melancon, Marites P.

Published
2025
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5. PST ART: "ART & SCIENCE COLLIDE".

Author

BARCENA, BRYAN

Subjects
*ART, *SCIENCE, *ART history, *CULTURAL relations
Abstract

The article focuses on the Getty Foundation's Pacific Standard Time (PST ART) initiative, a groundbreaking exhibition-funding project in Southern California that merges art and science. Topics include the initiative's history and evolution from documenting local art history to citywide thematic exhibitions, the significant financial and research resources it provides to regional institutions, and its transformative impact on exhibition-making, cultural exchange, and local economies.

Published
2025

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