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Barcode Embeddings for Metric Graphs

Steve Oudot 1 Elchanan Solomon 2
1 DATASHAPE - Understanding the Shape of Data
CRISAM - Inria Sophia Antipolis - Méditerranée , Inria Saclay - Ile de France
Abstract : Stable topological invariants are a cornerstone of persistence theory and applied topology, but their discriminative properties are often poorly-understood. In this paper we investigate the injectivity of a rich homology-based invariant first defined in \cite{dey2015comparing} which we think of as embedding a metric graph in the barcode space.
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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-01708780
Contributor : Steve Oudot <>
Submitted on : Wednesday, February 14, 2018 - 9:57:37 AM
Last modification on : Thursday, July 4, 2019 - 12:16:00 PM

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  • HAL Id : hal-01708780, version 1
  • ARXIV : 1712.03630

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Steve Oudot, Elchanan Solomon. Barcode Embeddings for Metric Graphs. 2018. ⟨hal-01708780⟩

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