Stability of Homology-Based Invariants in Data Analysis
In this thesis we will study the stability of the persistent homology pipeline used in topological data analysis. In particular, we will prove that persistent homology is 2-Lipschitz with respect to the Gromov-Hausdorff distance on the space of pseudometric spaces and interleaving distance on the sp...
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| Format: | Others |
| Language: | English |
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KTH, Skolan för teknikvetenskap (SCI)
2020
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| Online Access: | http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-275692 |