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Showing 1 to 3 of 3 for “"geometric inverse problems"”.
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Stability, Range and Statistical Aspects of non-Abelian X-ray tomography
… is concerned with several aspects related to the inverse problem of determining an unknown A from possibly noisy observations of CA. One focus lies on theoretical guarantees for the Bayesian approach to inverse problems, advocated for by Stuart (2010), where inference on A is made by means of …
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The broken non-abelian X-ray transform and inverse problems for connections at high fixed frequency
… manifold with boundary (M, g) from different geometric inverse problems. The connection is to be recovered up to a gauge that is the identity on the boundary. The main inverse problem we study is the broken non-abelian X-ray transform. Given a connection A, its broken non-abelian X-ray …
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The Calderón problem for connections
This thesis is concerned with the inverse problem of determining a unitary connection $A$ on a Hermitian vector bundle $E$ of rank $m$ over a compact Riemannian manifold $(M, g)$ from the Dirichlet-to-Neumann (DN) map $\Lambda_A$ of the associated connection Laplacian $d_A^*d_A$. The connection is …