Vanessa Robins - Persistence Diagrams of Bead Packings

Vanessa Robins - Persistence Diagrams of Bead Packings

Applied Algebraic Topology Network via YouTube Direct link

Statistical analysis

12 of 15

12 of 15

Statistical analysis

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Classroom Contents

Vanessa Robins - Persistence Diagrams of Bead Packings

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  1. 1 Introduction
  2. 2 Visualization of spherical beads
  3. 3 Geometry of spherical beads
  4. 4 Crystalline packings
  5. 5 Data analysis
  6. 6 Zero dimensional homology
  7. 7 First order homology
  8. 8 Random packing
  9. 9 Crystalline packing
  10. 10 Deltas
  11. 11 Numerical simulations
  12. 12 Statistical analysis
  13. 13 Rank function
  14. 14 First PCA function
  15. 15 Wrapup

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