New Results in Computing Zigzag and Multiparameter Persistence

New Results in Computing Zigzag and Multiparameter Persistence

Applied Algebraic Topology Network via YouTube Direct link

Standard persistence

3 of 12

3 of 12

Standard persistence

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New Results in Computing Zigzag and Multiparameter Persistence

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  1. 1 Intro
  2. 2 Persistent homology
  3. 3 Standard persistence
  4. 4 Application of Zigzag persistence
  5. 5 non-Zigzag Vs. Zigzag persistence
  6. 6 Overview of Fast Zigzag
  7. 7 Non-repetitive to Up-down
  8. 8 Up-down Filtration
  9. 9 Extended to Non-zigzag
  10. 10 Overall Conversions
  11. 11 2 parameter persistence and rank invariant
  12. 12 Future work

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