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The Convex Geometry of Linear Inverse Problems
Convex optimization semidefinite programming atomic norms
2011/1/17
In applications throughout science and engineering one is often faced with the challenge of
solving an ill-posed inverse problem, where the number of available measurements is smaller
than the dimen...
Let W be a complete local commutative Noetherian ring with residue field k of positive characteristic p. We study the inverse problem for the versal deformation rings RW(, V )
relative to W...
Regularization of statistical inverse problems and the Bakushinskii veto
statistical inverse problems the Bakushinskii veto
2010/11/22
In the deterministic context Bakushinskii's theorem excludes the existence of purely data driven convergent regularization for ill-posed problems. We will prove in the present work that in the statist...
The need to blend observational data and mathematical models arises in many applications and leads naturally to inverse problems. Parameters appearing in the model, such as constitutive tensors, initi...