For real analytic F, exact uniqueness F(p)=F(q) implies R(p)=R(q) yields Hölder stability of R on compact subsets of the parameter domain.
Harrach, Uniqueness and Lipschitz stability in electrical impedance tomography with fi- This manuscript is for review purposes only
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DeepONet learns the operator-to-function map from N-t-D data to conductivities in EIT, supported by a universal approximation theorem and numerical outperformance of IRGN.
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H\"older Stability from Exact Uniqueness for Finite-Dimensional Analytic Inverse Problems
For real analytic F, exact uniqueness F(p)=F(q) implies R(p)=R(q) yields Hölder stability of R on compact subsets of the parameter domain.
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A DeepONet for inverting the Neumann-to-Dirichlet Operator in Electrical Impedance Tomography: An approximation theoretic perspective and numerical results
DeepONet learns the operator-to-function map from N-t-D data to conductivities in EIT, supported by a universal approximation theorem and numerical outperformance of IRGN.