11 citations · 21 across the 17 of their papers we have counts for
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A fast surrogate cross validation algorithm for meshfree RBF collocation approaches
Francesco Marchetti
Cross validation is an important tool in the RBF collocation setting, especially for the crucial tuning of the shape parameter related to the radial basis function. In this paper,…
More properties of -Chebyshev functions and points
Stefano De Marchi, Giacomo Elefante, Francesco Marchetti +1
Recently, -Chebyshev functions, as well as the corresponding zeros, have been introduced as a generalization of classical Chebyshev polynomials of the first kind and related…
Mapped Variably Scaled Kernels: Applications to Solar Imaging
Francesco Marchetti, Emma Perracchione, Anna Volpara +3
Variably scaled kernels and mapped bases constructed via the so-called fake nodes approach are two different strategies to provide adaptive bases for function interpolation. In thi…
Moving Least Squares Approximation using Variably Scaled Discontinuous Weight Function
Mohammad Karimnejad Esfahani, Stefano De Marchi, Francesco Marchetti
Functions with discontinuities appear in many applications such as image reconstruction, signal processing, optimal control problems, interface problems, engineering applications a…
Data-driven kernel designs for optimized greedy schemes: A machine learning perspective
Tizian Wenzel, Francesco Marchetti, Emma Perracchione
Thanks to their easy implementation via Radial Basis Functions (RBFs), meshfree kernel methods have been proved to be an effective tool for e.g. scattered data interpolation, PDE c…