116 citations · 387 across the 27 of their papers we have counts for
6 papers · 1 filter
Solving Inverse Wave Scattering with Deep Learning
Yuwei Fan, Lexing Ying
This paper proposes a neural network approach for solving two classical problems in the two-dimensional inverse wave scattering: far field pattern problem and seismic imaging. The…
Solving Traveltime Tomography with Deep Learning
Yuwei Fan, Lexing Ying
This paper introduces a neural network approach for solving two-dimensional traveltime tomography (TT) problems based on the eikonal equation. The mathematical problem of TT is to…
Coarse-Proxy Reduced Basis Methods for Integral Equations
Philip A. Etter, Yuwei Fan, Lexing Ying
In this paper, we introduce a new reduced basis methodology for accelerating the computation of large parameterized systems of high-fidelity integral equations. Core to our methodo…
Solving Optical Tomography with Deep Learning
Yuwei Fan, Lexing Ying
This paper presents a neural network approach for solving two-dimensional optical tomography (OT) problems based on the radiative transfer equation. The mathematical problem of OT…
Meta-learning Pseudo-differential Operators with Deep Neural Networks
Jordi Feliu-Faba, Yuwei Fan, Lexing Ying
This paper introduces a meta-learning approach for parameterized pseudo-differential operators with deep neural networks. With the help of the nonstandard wavelet form, the pseudo-…
Solving Electrical Impedance Tomography with Deep Learning
Yuwei Fan, Lexing Ying
This paper introduces a new approach for solving electrical impedance tomography (EIT) problems using deep neural networks. The mathematical problem of EIT is to invert the electri…