3 papers
math.HO2025
Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review
Zhe Su, Xiang Liu, Layal Bou Hamdan +4
Topological data analysis (TDA) is a rapidly evolving field in applied mathematics and data science that leverages tools from topology to uncover robust, shape-driven insights in c…
eess.IV2025
Manifold Topological Deep Learning for Biomedical Data
Xiang Liu, Zhe Su, Yongyi Shi +3
Recently, topological deep learning (TDL), which integrates algebraic topology with deep neural networks, has achieved tremendous success in processing point-cloud data, emerging a…
math.DG2024
Topology-preserving Hodge Decomposition in the Eulerian Representation
Zhe Su, Yiying Tong, Guo-Wei Wei
The Hodge decomposition is a fundamental result in differential geometry and algebraic topology, particularly in the study of differential forms on a Riemannian manifold. Despite e…