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pro vyhledávání: '"Valenzuela, Nicolas"'
We consider the subcritical nonlinear Schr\"odinger (NLS) in dimension one posed on the unbounded real line. Several previous works have considered the deep neural network approximation of NLS solutions from the numerical and theoretical point of vie
Externí odkaz:
http://arxiv.org/abs/2409.17938
Autor:
Muñoz, Claudio, Valenzuela, Nicolás
We present a comprehensive framework for deriving rigorous and efficient bounds on the approximation error of deep neural networks in PDE models characterized by branching mechanisms, such as waves, Schr\"odinger equations, and other dispersive model
Externí odkaz:
http://arxiv.org/abs/2405.13566
Autor:
Valenzuela, Nicolás
We consider the fractional elliptic problem with Dirichlet boundary conditions on a bounded and convex domain $D$ of $\mathbb{R}^d$, with $d \geq 2$. In this paper, we perform a stochastic gradient descent algorithm that approximates the solution of
Externí odkaz:
http://arxiv.org/abs/2308.16272
We consider the Dirichlet-to-Neumann operator and the direct and inverse Calder\'on's mappings appearing in the Inverse Problem of recovering a smooth bounded and positive isotropic conductivity of a material filling a smooth bounded domain in space.
Externí odkaz:
http://arxiv.org/abs/2212.08941
Autor:
Valenzuela, Nicolás
The fractional Laplacian has been strongly studied during past decades. In this paper we present a different approach for the associated Dirichlet problem, using recent deep learning techniques. In fact, intensively PDEs with a stochastic representat
Externí odkaz:
http://arxiv.org/abs/2205.05229
Autor:
Cruz-Montecinos, Carlos, Besomi, Manuela, Acevedo-Valenzuela, Nicolás, Cares-Marambio, Kevin, Bustamante, Alejandro, Guzmán-González, Benjamín, Tapia-Malebrán, Claudio, Sanzana-Cuche, Rodolfo, Calatayud, Joaquín, Méndez-Rebolledo, Guillermo
Publikováno v:
In Journal of Electromyography and Kinesiology October 2022 66
Akademický článek
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Autor:
Valenzuela, Nicolas
Scholars have highlighted the role of income distribution as a fundamental factor to understand consumption, health, adoption of technologies, social cohesion, democratic stability, and long term economic performance, among other phenomena. Moreover,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a23663c5b977a87ada19501ce746f4b1
Autor:
Xu, Hongbin1,2, Valenzuela, Nicolas2,3, Fai, Stephen3, Figeys, Daniel1,2, Bennett, Steffany A. L.1,2
Publikováno v:
FEBS Journal. Nov2013, Vol. 280 Issue 22, p5652-5667. 16p.
Akademický článek
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