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Beyond TDA
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On Characterizing Rare Events in Persistent Homology
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- 1 Beyond TDA
- 2 Materials TDA
- 3 Hierarchical Structural Analysis of Silica Glass
- 4 How robust under pressure?
- 5 Persistent homology and persistence diagram
- 6 Multiparameter Persistent Homology
- 7 Pressurization and commutative ladder
- 8 Multiplicity on non-interval indecomposable
- 9 Numerical computation
- 10 Contents of the remaining parts
- 11 Limit theorems for random cubical homology
- 12 Random cubical set in R
- 13 LLN and CLT of Betti numbers
- 14 LLN of PD
- 15 Large deviation principle of Betti numbers
- 16 Toward large deviation principle of PD
- 17 Ongoing projects: random 2 persistent homology
