3 papers
math.AT2025
Persistent Homology for Labeled Datasets: Gromov-Hausdorff Stability and Generalized Landscapes
Yaoying Fu, Evgeniya Lagoda, Shiying Li +3
Techniques from metric geometry have become fundamental tools in modern mathematical data science, providing principled methods for comparing datasets modeled as finite metric spac…
stat.ML2025
Metrics for Parametric Families of Networks
Mario Gómez, Guanqun Ma, Tom Needham +1
We introduce a general framework for analyzing data modeled as parameterized families of networks. Building on a Gromov-Wasserstein variant of optimal transport, we define a family…
math.MG2024
Stability of Hypergraph Invariants and Transformations
Tom Needham, Ethan Semrad
Graphs are fundamental tools for modeling pairwise interactions in complex systems. However, many real-world systems involve multi-way interactions that cannot be fully captured by…