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SUMMARY:Numerical linear algebra meets multiplex networks
DTSTART:20251113T100000Z
DTEND:20251113T110000Z
DTSTAMP:20260317T130600Z
UID:indico-event-329@events.dm.unipi.it
DESCRIPTION:Speakers: Kai Bergermann (Scuola Normale Superiore)\n\nMultipl
 ex networks are used to model complex systems from myriad applications. Th
 ey generalize classical complex networks by recording different types of r
 elationships\, different interactions\, or changing interactions over time
  between the same entities in different layers. They possess natural linea
 r algebraic representations in terms of structured matrices\, which makes 
 efficient numerical linear algebra techniques a valuable tool for their an
 alysis.In this talk\, I will present contributions to multiplex network an
 alysis relying on matrix function approximation and nonlinear spectral met
 hods. I will discuss centrality measures\, the solution of stiff systems o
 f non-linear differential equations with exponential Runge--Kutta integrat
 ors\, un- and semi-supervised community detection\, and core-periphery det
 ection. All presented methods have a linear runtime scaling\, which allows
  the treatment of large-scale multiplex networks and numerical experiments
  for all considered problems will be presented.\n\nhttps://events.dm.unipi
 .it/event/329/
LOCATION:Sala Riunioni (Department of Mathematics)
URL:https://events.dm.unipi.it/event/329/
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