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Journal articles

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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Submitted on : Wednesday, February 14, 2018 - 9:57:37 AM
Last modification on : Thursday, February 10, 2022 - 5:02:10 PM

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Steve Oudot, Elchanan Solomon. Barcode Embeddings for Metric Graphs. Algebraic and Geometric Topology, Mathematical Sciences Publishers, 2021, ⟨10.2140/agt.2021.21.1209⟩. ⟨hal-01708780⟩



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