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Uncertainty estimation for kernel-based interpolation/extrapolation algorithms in the context of inverse problems: Applications to astronomical imaging.

keywords KERNEL INTERPOLATION, UNCERTAINTY ESTIMATION

Reference persons EMMA PERRACCHIONE

Thesis type THEORETICAL AND NUMERICAL

Description We investigate an interpolation/extrapolation method that, given scattered observations of the Fourier transform, approximates its inverse. The interpolation algorithm takes advantage of modeling the available data via a shape-driven interpolation based on variably scaled Kernels (VSKs), whose implementation is here tailored for inverse problems. The so-constructed interpolants are used as inputs for a standard iterative inversion scheme. The main goal of the thesis is to investigate how the uncertainty propagates during the inversion process.


Deadline 27/01/2024      PROPONI LA TUA CANDIDATURA




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