Rippa's algorithm is a well-known Leave-One-Out Cross Validation (LOOCV) scheme that is
adopted in Radial Basis Function (RBF) interpolation for the tuning of the shape parameter …

Thanks to their easy implementation via radial basis functions (RBFs), meshfree kernel
methods have proved to be an effective tool for, eg, scattered data interpolation, PDE …

In this work, we develop Non-Intrusive Reduced Order Models (NIROMs) that combine
Proper Orthogonal Decomposition (POD) with a Radial Basis Function (RBF) interpolation …

In this work we propose a new method for univariate polynomial interpolation based on what
we call mapped bases. As theoretically shown, constructing the interpolating function via the …

The aim of this work consists of finding a suitable numerical method for the solution of the
mathematical model describing the prostate tumor growth, formulated as a system of time …

Accurate interpolation and approximation techniques for functions with discontinuities are
key tools in many applications, such as medical imaging. In this paper, we study a radial …

The spatial display of clustered data using machine learning (ML) as regions (bordered
areas) is currently unfeasible. This problem is commonly encountered in various research …

The main goal of the present paper is to extend the interpolation via the so-called mapped
bases without resampling to any basis and dimension. So far indeed, we investigated the …

We discuss several approaches involving the reconstruction of discontinuous one-
dimensional functions using parameter-dependent multiquadric radial basis function (MQ …

We investigate an interpolation/extrapolation method that, given scattered observations of
the Fourier transform, approximates its inverse. The interpolation algorithm takes advantage …