10 citations · 21 across the 5 of their papers we have counts for
4 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 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…
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…
Burnett Spectral Method for the Spatially Homogeneous Boltzmann Equation
Zhenning Cai, Yuwei Fan, Yanli Wang
We develop a spectral method for the spatially homogeneous Boltzmann equation using Burnett polynomials in the basis functions. Using the sparsity of the coefficients in the expans…