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SUMMARY:Nikos. I. Kavallaris (Karlstad University)
DTSTART:20250908T111500Z
DTEND:20250908T120000Z
DTSTAMP:20260417T003512Z
UID:cam/77
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/77/">Net
 work Dynamics via Topological Data Analysis and Equation-Free Methods</a>\
 nby Nikos. I. Kavallaris (Karlstad University) as part of CAM seminar\n\nL
 ecture held in MV:L14.\n\nAbstract\nWe propose a computational framework f
 or analyzing the macroscopic dynamics of complex agent-based networks by i
 ntegrating Topological Data Analysis (TDA) with the Equation-Free Method. 
 The approach is demonstrated on Erdős–Rényi random networks. A TDA-bas
 ed filtration\, driven by the density of activated nodes\, yields a coarse
  macroscopic observable defined via persistent Betti numbers\, enabling si
 gnificant dimensionality reduction while preserving essential topology. Wi
 thin the Equation-Free framework\, we construct a lifting procedure based 
 on topological features and identify a data-driven evolution law for this 
 variable. Finally\, we perform numerical bifurcation and stability analyse
 s to characterize the global behavior and qualitative transitions of the e
 mergent dynamics. This is a joint work with Konstantinos Spiliotis\, Ole S
 önnerborn\, and Haralampos Hatzikirou\n
LOCATION:https://researchseminars.org/talk/cam/77/
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