Within radial basis functions, handling scale parameters is a well-known and open problem and a proper scaling of the basis function plays a crucial role in applications. A generalization is given in [1] where new transformed kernels based on classical RBFs are defined by using a scale function. In this talk, we show different roles of these variably scaled kernel and we discuss their application for the recovery of functions with particular features such as discontinuities.
Rossini, M. (2017). Recovering Functions with Discontinuities by Variably Scaled Kernels. In Multivariate Approximation: Theory, Algorithms & Applications. Book of Abstracts (pp.5-5).
Recovering Functions with Discontinuities by Variably Scaled Kernels
Rossini, M
2017
Abstract
Within radial basis functions, handling scale parameters is a well-known and open problem and a proper scaling of the basis function plays a crucial role in applications. A generalization is given in [1] where new transformed kernels based on classical RBFs are defined by using a scale function. In this talk, we show different roles of these variably scaled kernel and we discuss their application for the recovery of functions with particular features such as discontinuities.
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