Lipschitz stability holds for low-rank unknowns in the fully nonlinear inverse medium scattering problem, with an ensemble Kalman filter proposed for iterative reconstruction whose dimension is set by the wave number.
Kirsch , Remarks on the born approximation and the factorization method , Applicable Analysis, 96 (2017), pp
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Low-rank-assisted inverse medium scattering: Lipschiz stability and ensemble Kalman filter
Lipschitz stability holds for low-rank unknowns in the fully nonlinear inverse medium scattering problem, with an ensemble Kalman filter proposed for iterative reconstruction whose dimension is set by the wave number.