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Seminars

Applied Mathematics.

Summer Seminar Series: Discrete Morse based Graph Reconstruction: Algorithms and Applications

2026/07/17 (Fri.) 11:00~12:00
  • Date : 2026/07/17 (Fri.) 11:00~12:00
  • Location : Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
  • Speaker : Yusu Wang (University of California, San Diego)
  • Organizer :
    Steven Altschuler (UCSF)
    Hau-Tieng Wu (NYU/AS)
    Lani Wu (UCSF)
    Shih-Hsien Yu (AS)
  • Abstract : Recent years have witnessed a surge in the use of topological objects and methods in various applications. Many such applications leverage either the summarization (e.g, persistent homology) or the characterization power of topological objects. In this talk, we will talk about our graph skeletonization algorithm based on discrete-Morse theory, both for 2D / 3D images and for (high-dimensional) points data. We will then describe various applications of the resulting algorithms: from automatic road network reconstruction, to neuronal processes segmentation from whole brain images, to the analysis of high dimensional single-cell RNASeq data. This is joint work with many collaborators which we will acknowledge in the talk.
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