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| Summer Term 2017, Doctoral School Events | |
| 2017-03-24 | Doctoral School Seminar (Seminarraum 2 des Instituts für Geometrie, Kopernikusgasse 24, 10:30—13:00, TU) |
| Hannah Schreiber (TU, advisor M. Kerber): Barcodes of Towers [show abstract] | |
| Arnur Nigmetov (TU, advisor M. Kerber): Geometry helps compare persistence diagrams | |
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Abstract: Persistence diagrams (finite sets of points in the plane) represent topological information of a dataset at different scales and are one of the main tools of Topological Data Analysis (TDA). The two distances which often need to be computed in TDA are bottleneck and Wasserstein distances. The problem of their computation is reduced to finding bottleneck and minimum-weight matching in a bipartite graph, where an edge's weight is its length. For bottleneck matching it was known in theory that exploiting the geometric nature of the graph can improve the complexity. After giving necessary definitions I will explain how we implemented geometric variants of the Hopcroft--Karp algorithm for bottleneck matching (based on previous work by Efrat el al.) and (if time permits) of the auction algorithm by Bertsekas for Wasserstein distance computation and discuss their performance in practice. [hide abstract] | |
| Svenja Hüning (TU, advisor J. Wallner): Convergence analysis of subdivision schemes in Riemannian geometry [show abstract] | |
| 2017-04-28 | Doctoral School Seminar (Seminarraum 2 des Instituts für Geometrie, Kopernikusgasse 24, 10:30—13:00, TU) |
| Niclas Technau (TU, advisor R. Tichy): A short Introduction to Loewner Theory [show abstract] | |
| Eva Siegmann (KFU, advisor G. Haase): Simulating convex polyhedral shaped particles with DEM [show abstract] | |
| Judith Kloas (TU, advisor W. Woess): The distinguishing number of trees and subcubic graphs [show abstract] | |
| Doris Schadler (TU, advisor E. Stadlober): A regression approach to fault detection at engine test beds [show abstract] | |
| 2017-06-02 | Doctoral School Seminar (Inst. Mathematik, Heinrichstr. 36, SR 11.34, 14:00—16:30, KFU) |
| Kwok Chi Chim (TU, advisor R. Tichy): A bound for linear forms in two p-adic logarithms [show abstract] | |
| Gundelinde Wiegel (TU, advisor W. Woess): The distinguishing number of vertex transitive cubic graphs [show abstract] | |
| Lukas Richter (TU, advisor E. Stadlober): Statistical modelling in public health: segmented regression and methods to model low count data [show abstract] | |
| Martin Kanitsar (KFU, advisor M. Hintermüller): Shape and topology optimization in fluid dynamics [show abstract] |