Interleaving-distance confidence regions for Reeb graphs are obtained from PL proximity-graph estimators, with Mapper treated as a controlled visualization coarsening and extended persistence bounded by twice the interleaving distance.
34th International Symposium on Computational Geometry (SoCG 2018) , pages =
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Building confidence regions for Reeb graphs using the interleaving distance
Interleaving-distance confidence regions for Reeb graphs are obtained from PL proximity-graph estimators, with Mapper treated as a controlled visualization coarsening and extended persistence bounded by twice the interleaving distance.