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arXiv · 2608.08858

A Hilbert space embedding of persistence diagrams and barcodes

Peter Bubenik
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Abstract

For p in $[1,\infty]$, we show that the persistence landscape gives 1-Lipschitz embeddings of metric spaces of countable persistence diagrams and barcodes with p-Wasserstein distances into an $L^p$ space.

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Peter Bubenik. 2026-08-09. A Hilbert space embedding of persistence diagrams and barcodes. https://arxiv.org/abs/2608.08858

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