3 papers
math.NA2024
On Quasi-Localized Dual Pairs in Reproducing Kernel Hilbert Spaces
Helmut Harbrecht, Rüdiger Kempf, Michael Multerer
In scattered data approximation, the span of a finite number of translates of a chosen radial basis function is used as approximation space and the basis of translates is used for…
stat.ML2024
Observation-specific explanations through scattered data approximation
Valentina Ghidini, Michael Multerer, Jacopo Quizi +1
This work introduces the definition of observation-specific explanations to assign a score to each data point proportional to its importance in the definition of the prediction pro…
math.NA2024
The dimension weighted fast multipole method for scattered data approximation
Helmut Harbrecht, Michael Multerer, Jacopo Quizi
The present article is concerned scattered data approximation for higher dimensional data sets which exhibit an anisotropic behavior in the different dimensions. Tailoring sparse p…