Current density impedance imaging with PINNs

Artificial intelligence (68Txx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Miscellaneous topics in partial differential equations (35Rxx)

Cites Work

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Approximation rates for neural networks with encodable weights in smoothness spaces
On stability and regularization for data-driven solution of parabolic inverse source problems
Nonparametric regression using deep neural networks with ReLU activation function
Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
Current density impedance imaging of an anisotropic conductivity in a known conformal class
Hybrid tomography for conductivity imaging
Mathematical Foundations of Infinite-Dimensional Statistical Models
Recovering the conductivity from a single measurement of interior data
Neural Network Learning
Numerical conductivity reconstruction from partial interior current density information in three dimensions
Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs
Convergence Rate Analysis for Deep Ritz Method
A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs
Imaging conductivity from current density magnitude using neural networks*
Stability of Current Density Impedance Imaging
Numerical solution of inverse problems by weak adversarial networks
Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks
Stable reconstruction of regular 1-Harmonic maps with a given trace at the boundary
Stability of coupled-physics inverse problems with one internal measurement
Conductivity imaging with a single measurement of boundary and interior data
Error analysis of deep Ritz methods for elliptic equations

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