Washington Mio - Stable Homology of Metric Measure Spaces

Washington Mio - Stable Homology of Metric Measure Spaces

Applied Algebraic Topology Network via YouTube Direct link

Intro

1 of 24

1 of 24

Intro

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Washington Mio - Stable Homology of Metric Measure Spaces

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  1. 1 Intro
  2. 2 Motivations
  3. 3 Remarks
  4. 4 Theoretical Framework
  5. 5 Outline
  6. 6 Scale-Space Representation of Data
  7. 7 An Example
  8. 8 Metric on Probability Measures
  9. 9 Wasserstein Distance
  10. 10 Stability of Local Homology
  11. 11 Consistency
  12. 12 On Rates of Convergence
  13. 13 An Experiment
  14. 14 Sampling the Distribution
  15. 15 Fréchet Functions
  16. 16 Visualization: 11
  17. 17 Illustration
  18. 18 A Variant of the Model
  19. 19 Localization Via Modulation
  20. 20 Randomizing K
  21. 21 Metric Spaces with a Dillusion Kernel
  22. 22 Metric Measure Spaces
  23. 23 Taxonomic Classification
  24. 24 Random Local Persistence Diagrams

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