3 papers
math.NA2026
A variational mollification approach to circular deconvolution
Mirza Karamehmedović, Pierre Maréchal, Mykhailo Petrov
We propose a variational mollification approach to circular deconvolution based on the reconstruction of a mollified target object rather than the exact solution itself. The method…
math.NA2026
Interpolating between Tikhonov regularization and spectral cutoff
Martin Sæbye Carøe, Mirza Karamehmedović, Pierre Maréchal
Regularizing a linear ill-posed operator equation can be achieved by manipulating the spectrum of the operator's pseudo-inverse. Tikhonov regularization and spectral cutoff are wel…
math.SP2025
Multi-resolution deconvolution
Mirza Karamehmedović, Pierre Maréchal, Martin Sæbye Carøe +1
We extend the classical deconvolution framework in Rn to the case with a pseudodifferential-like solution operator with a symbol depending on both the base and cotangent variable.…