The authors introduce RGWp, a Gromov-Wasserstein distance for Reeb graphs with a symmetric Reeb radius and persistence-image weighting, and present a stability proof that contains unproven structural assumptions.
Persistence images: A stable vector representation of persistent homology
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A Stable and Theoretically Grounded Gromov-Wasserstein Distance for Reeb Graph Comparison using Persistence Images
The authors introduce RGWp, a Gromov-Wasserstein distance for Reeb graphs with a symmetric Reeb radius and persistence-image weighting, and present a stability proof that contains unproven structural assumptions.