Constructing probing functions for direct sampling methods for inverse scattering problems with limited-aperture data: finite space framework and deep probing …

J Ning, J Zou - arXiv preprint arXiv:2410.05098, 2024 - arxiv.org
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 due to …

-deepDSM for interface reconstruction: operator learning and a Learning-Automated FEM package

Y Zheng, H Wei, S Cao, R Guo - arXiv preprint arXiv:2411.05341, 2024 - arxiv.org
In this work, we propose an Operator Learning (OpL) method for solving boundary value
inverse problems in partial differential equations (PDEs), focusing on recovering diffusion …

A Deep Learning Framework for Three Dimensional Shape Reconstruction from Phaseless Acoustic Scattering Far-field Data

D Dikbayir, A Alsnayyan, VN Boddeti… - arXiv preprint arXiv …, 2024 - arxiv.org
The inverse scattering problem is of critical importance in a number of fields, including
medical imaging, sonar, sensing, non-destructive evaluation, and several others. The …

Γ-Deepdsm for Interface Reconstruction: Operator Learning and a Learning-Automated Fem Package

R Guo, Y Zheng, H Wei, S Cao - Available at SSRN 5023459 - papers.ssrn.com
In this work, we propose an Operator Learning (OpL) method for solving boundary value
inverse problems in partial differential equations (PDEs), focusing on recovering diffusion …