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07/13/2022
Noise level free regularisation of general linear inverse problems under unconstrained white noise
In this note we solve a general statistical inverse problem under absenc...
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04/29/2022
Discretisation-adaptive regularisation of statistical inverse problems
We consider linear inverse problems under white noise. These types of pr...
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02/25/2022
A Probabilistic Oracle Inequality and Quantification of Uncertainty of a modified Discrepancy Principle for Statistical Inverse Problems
In this note we consider spectral cut-off estimators to solve a statisti...
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04/13/2021
Optimal Convergence of the Discrepancy Principle for polynomially and exponentially ill-posed Operators under White Noise
We consider a linear ill-posed equation in the Hilbert space setting und...
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03/05/2021
Increasing the relative smoothness of stochastically sampled data
We consider a linear ill-posed equation in the Hilbert space setting. Mu...
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10/09/2020
Regularising linear inverse problems under unknown non-Gaussian white noise
We deal with the solution of a generic linear inverse problem in the Hil...
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04/30/2020