Author

S. D. de Marchi

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Preprint Sep 2026

Mapping for Approximation: A Unified View of Rescaled, Variably Scaled and Rational Kernel Methods

Classical approximation methods are usually improved by changing the sampling set, increasing the number of data points, or selecting a different basis. We advocate a complementary viewpoint: keep the sampled values fixed and modify the representation through a suitable mapping. This viewpoint unifies several construct...

S. D. de Marchi · 0 citations

Aug 2026

Kernel-Based Methods

This book explores kernel methods deep connections with approximation theory, highlighting both classical results and cutting-edge developments, and invites readers to engage with ongoing advances in this dynamic field and to contribute to its future growth.

S. D. de Marchi, F. Marchetti, E. Perracchione · 0 citations