About meWelcome to my personal website. I'm currently a HDSI Postdoc Fellow at the Halιcιoğlu Data Science Institute, University of California San Diego. My mentors are Gal Mishne and Yusu Wang.I obtained my PhD in Mathematics from the Ohio State University. My advisor is Facundo Mémoli. I earned my Bachelor's degree in Mathematics at Peking University in 2016. Here is my current CV. I am currently on the job market and looking for tenure-track positions! |
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Research Interests
My primary research interests lie in the development of novel mathematical tools and frameworks for understanding and analyzing complex data, with a focus on geometric and topological data analysis. My work spans across multiple domains, including probability theory, geometry, graph theory, and machine learning.
Check out my recent papers!
- The ultrametric Gromov-Wasserstein distance
(With Facundo Mémoli, Axel Munk, Christoph Weitkamp.)
To appear in Discrete & Computational Geometry. arXiv preprint arXiv:2101.05756 (2023).
We identify and study ultrametric versions of both Sturm’s Gromov-Wasserstein distance and the Gromov-Wasserstein distance.
- The Weisfeiler-Lehman Distance: Reinterpretation and Connection with GNNs
(With Samantha Chen, Sunhyuk Lim, Facundo Mémoli, Yusu Wang.)
ICML workshop: Topology, Algebra, and Geometry in Machine Learning (2023).
We present a novel interpretation of the Weisfeiler-Lehman (WL) distance, using concepts from stochastic processes, and discuss the implications for understanding the Lipschitz property and the universal approximation results for graph neural networks. - The Persistent Laplacian for Data Science: Evaluating Higher-Order Persistent Spectral Representations of Data
(With Thomas Davies, Ruben Sanchez-Garcia.)
International Conference on Machine Learning (ICML 2023).
We introduce the persistent Laplacian as a feature vector that encodes persistent homology and additional geometric information, and demonstrate its usefulness in data analysis.
Contacts
Email: zcwan[at]ucsd.edu.
Address: Office 147, 3234 Matthews Ln, La Jolla, CA 92093