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Persistent Homology (PH)
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Classroom Contents
Persistence Diagram Bundles- A Multidimensional Generalization of Vineyards
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- 1 Intro
- 2 Persistent Homology (PH)
- 3 Existing approach: Vineyards
- 4 Motivation for new approach: Persistence diagram
- 5 Persistence Diagram Bundles
- 6 Special cases of PD bundles
- 7 Relationship to the fibered barcode in multiparamet
- 8 Decomposing a PD bundle into simpler parts
- 9 Stratifying the base space
- 10 Sections of PD bundles
- 11 How can we compute PD bundles?
- 12 Review: Computing vineyards
- 13 Algorithm for computing PD bundles
- 14 Future Applications
