Reeb Graphs and Their Measure Theoretic Variants: Theory and Applications

  • Bei Wang Phillips (University of Utah, USA + MPI MiS, Leipzig)
E2 10 (Leon-Lichtenstein)


A Reeb graph is a graphical representation of a scalar function on a topological space that encodes the topology of the level sets. Reeb graphs and their variants are popular tools in topological data analysis and visualization. In this talk, I will discuss theoretical advances in studying Reeb graphs and their variants, as well as their applications in data mining and machine learning. In particular, I will discuss novel constructions of Reeb graphs that incorporate the use of a measure, which capture robust topology in data.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail

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