Tamal Dey - A Framework for Topological Summarization

Tamal Dey - A Framework for Topological Summarization

Applied Algebraic Topology Network via YouTube Direct link

Persistence diagram of MM

8 of 17

8 of 17

Persistence diagram of MM

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Tamal Dey - A Framework for Topological Summarization

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  1. 1 Intro
  2. 2 Covers and Nerves
  3. 3 Maps and covers
  4. 4 Maps between covers
  5. 5 Pullback covers
  6. 6 Hierarchical covering and complexes
  7. 7 Multiscale Mapper
  8. 8 Persistence diagram of MM
  9. 9 Interleaving between HFOSS
  10. 10 Stability against perturbation of HFOCs
  11. 11 Cover examples
  12. 12 Stability against function perturbation
  13. 13 MM for PL functions
  14. 14 Combinatorial MM
  15. 15 Metric viewpoint
  16. 16 Čech filtrations using du
  17. 17 Conclusion/Questions

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