Im Rahmen des Mittagsseminars der Theoretischen Informatik der FU Berlin spricht am Donnerstag, 18. Februar 2021, 12:00 Uhr, Online via Webex Aruni Choudhary zum Thema: Measures and necklaces, part 2 und am Dienstag, 23. Februar 2021, 12:00 Uhr, Online via Webex Abhishek Rathod zum Thema: Computing persistent homology: A Morse theory perspective Zusammenfassung:We will see how algebraic Morse theory can be used to obtain filtered chain equivalences between chain complexes described by intermediate matrices in persistence computations. This connection enables us to cast some of the commonly encountered persistence algorithms in terms of algebraic Morse theory. As an application of this framework, we will describe a new algorithm for computing persistence that fully exploits this structure resulting in improved output sensitive complexity bounds.
The talk is based on joint work with Ulrich Bauer and Talha bin Masood. The meetings will be recorded. Mittagsseminar schedule: <https://kvv.imp.fu-berlin.de/x/4O7r81> Meeting-Kennnummer (accesscode): 849 106 074, Meeting password: VoronoiJoin meeting: <https://fu-berlin.webex.com/fu-berlin/j.php?MTID=m389104aa1d046fc9415db0299052163b>
join by phone: +49-619-6781-9736alternative phone numbers: https://fu-berlin.webex.com/fu-berlin/globalcallin.php?MTID=m6e43cc87fc3e30a6964df6aa3b887427