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Winter Term 2021/22, Doctoral School Events
2021-10-22 Doctoral School Seminar (10:00–12:00, Video conference, TU)
Fatima Jammoul (TU, advisor S. Hörmann): Consistently recovering the signal from noisy functional data

Abstract: We consider noisy functional data Yt(si) = Xt(si) + εti that has been recorded at a discrete set of observation points. Naturally, the goal is to recover the underlying signal Xt. We show that under very mild assumptions, the signal may be viewed as the common components of a factor model, which may be consistently recovered using a PCA driven approach. Our theoretical results hold under rather mild conditions, in particular we do not require specific smoothness assumptions for the underlying curves and allow for a certain degree of autocorrelation in the noise. We present our results, simulation studies as well as further investigations into closely related topics.[hide abstract]

Thomas Kuenzer (TU, advisor S. Hörmann): Estimating the conditional distribution in functional regression problems [show abstract]
Andreas Habring (KFU, advisor K. Bredies): Generative Regularization of Inverse Problems in Imaging [show abstract]
Enis Chenchchene (KFU, advisor K. Bredies): Degenerate Preconditioned Proximal Point algorithms [show abstract]
2021-11-26 Doctoral School Seminar (14:00–16:00, Video conference, KFU)
Paolo Minelli (TU, advisor R. Tichy): An overview on Ω-results for the Riemann zeta function [show abstract]
Simon Pojer (TU, advisor S. Thonhauser): Ruin Probabilities in a Markovian Shot-Noise Environment [show abstract]
New Students (TU+KFU): G. Stenzel, C. Stelzer, M. Juhos, R. Assereto, L. Frühwirth
Alexandra Weinberger (TU, advisor O. Aichholzer): Finding plane structures in simple drawings of complete graphs via generalized twistedness [show abstract]
2021-12-17 Doctoral School Seminar (10:00–12:00, Video conference, TU)
Tuan Anh Do (TU, advisor M. Kang): Component behaviour of random bipartite graphs [show abstract]
Daniel Windisch (TU, advisor S. Frisch): Class groups and prime divisors of monoid algebras [show abstract]
Victor Fadinger (KFU, advisor A. Geroldinger): Weakly Krull monoid algebras and their factorizations [show abstract]
Thomas Hirschler (TU, advisor W. Woess): Laplace and Bi-Laplace equations for Markov Chains on finite directed Graphs [show abstract]
2022-01-28 Doctoral School Seminar (14:00–16:00, Video conference, KFU)
Rosna Paul (TU, advisor O. Aichholzer): Straight-line subdrawings with crossings [show abstract]
Stefan Hammer (TU, advisor W. Woess): The Wiener index of Basilica graphs [show abstract]
Reymart Salcedo Lagunero (KFU, advisor K. Fellner): Numerical simulation of a reaction-diffusion model for lipid hydrolysis [show abstract]
Daodao Yang (TU, advisor R. Tichy): Extreme values of derivatives of the Riemann zeta function  and related problems [show abstract]