3 papers
math.NA2026
Weighted least squares subdivision schemes for noisy data on triangular meshes
Costanza Conti, Sergio López-Ureña, Dionisio F. Yáñez
This paper presents and analyses a new family of linear subdivision schemes to refine noisy data given on triangular meshes. The subdivision rules consist of locally fitting and ev…
math.NA2025
Activation functions enabling the addition of neurons and layers without altering outcomes
Sergio López-Ureña
In this work, we propose activation functions for neuronal networks that are refinable and sum the identity. This new class of activation functions allows the insertion of new laye…
math.NA2024
A uniform non-linear subdivision scheme reproducing polynomials at any non-uniform grid
Sergio López-Ureña
In this paper, we introduce a novel non-linear uniform subdivision scheme for the generation of curves in , . This scheme is distinguished by its capacity to…