2 papers
math.ST2026
Compactly supported radial basis functions as probability density functions
Sergio Díaz-Elbal, Andrei Martínez-Finkelshtein, Darío Ramos-López
Compactly Supported Radial Basis Functions (CS-RBFs) are a fundamental tool in multivariate approximation theory. However, their use in statistics and probability modeling remains…
math.NA2025
Sampling patterns for Zernike-like bases in non-standard geometries
Sergio Díaz-Elbal, Andrei Martínez-Finkelshtein, Darío Ramos-López
Zernike polynomials are widely used in optics and ophthalmology due to their direct connection to classical optical aberrations. While orthogonal on the unit disk, their applicatio…