3 papers
math.AT2025
Computing Generalized Ranks of Persistence Modules via Unfolding to Zigzag Modules
Tamal K. Dey, Cheng Xin
For a -indexed persistence module , the (generalized) rank of is defined as the rank of the limit-to-colimit map for the diagram of vector spaces of …
cs.LG2025
D-GRIL: End-to-End Topological Learning with 2-parameter Persistence
Soham Mukherjee, Shreyas N. Samaga, Cheng Xin +2
End-to-end topological learning using 1-parameter persistence is well-known. We show that the framework can be enhanced using 2-parameter persistence by adopting a recently introdu…
cs.LG2024
Expressive Higher-Order Link Prediction through Hypergraph Symmetry Breaking
Simon Zhang, Cheng Xin, Tamal K. Dey
A hypergraph consists of a set of nodes along with a collection of subsets of the nodes called hyperedges. Higher-order link prediction is the task of predicting the existence of a…