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math.NA2022
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…
math.NA2022
Reducing the Gibbs effect in multimodal medical imaging by the Fake Nodes Approach
Davide Poggiali, Diego Cecchin, Stefano De Marchi
It is a common practice in multimodal medical imaging to undersample the anatomically-derived segmentation images to measure the mean activity of a co-acquired functional image. Th…
math.NA2022
Variably Scaled Persistence Kernels (VSPKs) for persistent homology applications
Stefano De Marchi, Federico Lot, Francesco Marchetti +1
In recent years, various kernels have been proposed in the context of persistent homology to deal with persistence diagrams in supervised learning approaches. In this paper, we con…