1 citations · 3 across the 9 of their papers we have counts for
11 papers
-adaptive trees for graph signal approximation
Giacomo Elefante, Wolfgang Erb, Michael Multerer
Tree-encoded partitionings of graphs are fundamental tools for the decomposition and approximation of graph signals. For the efficient approximation of such graph signals, we devel…
Polynomial approximation from diffused data: unisolvence and stability
Ludovico Bruni Bruno, Stefano De Marchi, Giacomo Elefante
In this work, we address the problem of polynomial interpolation of non-pointwise data. More specifically, we assume that our input information comes from measurements obtained on…
A least squares approach to Whitney forms
Ludovico Bruni Bruno, Giacomo Elefante
In this work we describe and test the construction of least squares Whitney forms based on weights. If, on the one hand, the relevance of such a family of differential forms is now…
Interpolation by integrals on balls
Ludovico Bruni Bruno, Giacomo Elefante
In this work we blend interpolation theory with numerical integration, constructing an interpolator based on integrals over -dimensional balls. We show that, under hypotheses on…
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…
Interpolation with the polynomial kernels
Giacomo Elefante, Wolfgang Erb, Francesco Marchetti +3
The polynomial kernels are widely used in machine learning and they are one of the default choices to develop kernel-based classification and regression models. However, they are r…
A barycentric trigonometric Hermite interpolant via an iterative approach
Giacomo Elefante
In this work we construct an Hermite interpolant starting from basis functions that satisfy a Lagrange property. In fact, we extend and generalise an iterative approach, introduced…
Polynomial mapped bases: theory and applications
Stefano De Marchi, Giacomo Elefante, Elisa Francomano +1
In this paper, we collect the basic theory and the most important applications of a novel technique that has shown to be suitable for scattered data interpolation, quadrature, bio-…
Stable discontinuous mapped bases: the Gibbs-Runge-Avoiding Stable Polynomial Approximation (GRASPA) method
Stefano De Marchi, Giacomo Elefante, Francesco Marchetti
The mapped bases or Fake Nodes Approach (FNA), introduced in [10], allows to change the set of nodes without the need of resampling the function. Such scheme has been successfully…
A linear barycentric rational interpolant on starlike domains
Jean-Paul Berrut, Giacomo Elefante
When an approximant is accurate on the interval, it is only natural to try to extend it to several-dimensional domains. In the present article, we make use of the fact that linear…
On -Chebyshev functions and points of the interval
Stefano De Marchi, Giacomo Elefante, Francesco Marchetti
In this paper, we introduce the class of -Chebyshev functions and corresponding points, which can be seen as a family of {\it generalized} Chebyshev polynomials and points.…