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math.AT2024
Stable Similarity Comparison of Persistent Homology Groups
Jiaxing He, Bingzhe Hou, Tieru Wu +1
Classification in the sense of similarity is an important issue. In this paper, we study similarity classification in Topological Data Analysis. We define a pseudometric $d_{S}^{(p…
cs.LG2024
GraphCroc: Cross-Correlation Autoencoder for Graph Structural Reconstruction
Shijin Duan, Ruyi Ding, Jiaxing He +3
Graph-structured data is integral to many applications, prompting the development of various graph representation methods. Graph autoencoders (GAEs), in particular, reconstruct gra…
cs.CV2024
Mix-GENEO: A Flexible Filtration for Multiparameter Persistent Homology Detects Digital Images
Jiaxing He, Bingzhe Hou, Tieru Wu +1
Two important tasks in the field of Topological Data Analysis are building practical multifiltrations on objects and using TDA to detect the geometry. Motivated by the tasks, we bu…