11 citations · 21 across the 17 of their papers we have counts for
7 papers · 1 filter
A stochastic extended Rippa's algorithm for LpOCV
Leevan Ling, Francesco Marchetti
In kernel-based approximation, the tuning of the so-called shape parameter is a fundamental step for achieving an accurate reconstruction. Recently, the popular Rippa's algorithm […
On Kosloff Tal-Ezer Least-Squares Quadrature Formulas
Giacomo Cappellazzo, Wolfgang Erb, Francesco Marchetti +1
In this work, we study a global quadrature scheme for analytic functions on compact intervals based on function values on quasi-uniform grids of quadrature nodes. In practice it is…
Convergence analysis for image interpolation in terms of the cSSIM
Francesco Marchetti, Gabriele Santin
Assessing the similarity of two images is a complex task that attracts significant efforts in the image processing community. The widely used Structural Similarity Index Measure (S…
Efficient Reduced Basis Algorithm (ERBA) for kernel-based approximation
Francesco Marchetti, Emma Perracchione
The main purpose of this work is the one of providing an efficient scheme for constructing reduced interpolation models for kernel bases. In literature such problem is mainly addre…
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…
Score-oriented loss (SOL) functions
Francesco Marchetti, Sabrina Guastavino, Michele Piana +1
Loss functions engineering and the assessment of forecasting performances are two crucial and intertwined aspects of supervised machine learning. This paper focuses on binary class…
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.…