Tobias Wolf successfully defended his doctoral thesis entitled “Iterative Decomposition Methods for Ill-Posed Problems” on September 15, 2025. He is the seventh doctoral candidate to graduate from doc.funds’ “Modeling-Analysis-Optimization of discrete, continuous and stochastic systems” doctoral program.
The examiners (and reviewers of the dissertation) were Prof. Gabriele Steidl (TU Berlin) and Prof. Jean-François Aujol (University of Bordeaux). The thesis was supervised by Elena Resmerita (AAU). The thesis aims to develop and analyze iterative regularization methods for ill-posed problems that decompose solutions either hierarchically (adding details step by step, e.g., Multiscale hierarchical decompositions) or structurally (decomposing into components, e.g., Nested Bregman iterations). These methods enable reconstruction via appropriate iteration termination rather than parameter tuning, and have been investigated numerically for blind image deconvolution, among other applications.
He will begin a postdoctoral position in January 2026 in the research group of Prof. Jalal Fadili in France.
We congratulate Mr. Wolf on this great success and wish him all the best for his future academic and professional career.
Further information on the Doctoral School: https://www.aau.at/tewi/doktoratsprogramme/doktoratsprogramm-mao/doctoral_school/
Der Beitrag Defensio by Tobias Wolf erschien zuerst auf University of Klagenfurt.