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math.ST2026
Weighted persistence intensity regression
Matteo Pegoraro, Mario Beraha
Persistence diagrams summarize the multiscale topological structure of data, and in applications they often arrive paired with covariates. We develop nonparametric methodology and…
math.ST2026
Building confidence regions for Reeb graphs using the interleaving distance
Matteo Pegoraro, Alberto Conforti, Mathieu Carrière
We develop confidence regions for Reeb graphs from finite samples using the interleaving distance. Given a point cloud equipped with a filter function, we construct a finite proxim…