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math.NA2024
Constructing probing functions for direct sampling methods for inverse scattering problems with limited-aperture data: finite space framework and deep probing network
Jianfeng Ning, Jun Zou
This work studies an inverse scattering problem when limited-aperture data are available that are from just one or a few incident fields. This inverse problem is highly ill-posed d…
math.NA2024
A Direct Sampling Method and Its Integration with Deep Learning for Inverse Scattering Problems with Phaseless Data
Jianfeng Ning, Fuqun Han, Jun Zou
We consider in this work an inverse acoustic scattering problem when only phaseless data is available. The inverse problem is highly nonlinear and ill-posed due to the lack of the…