Tropical Geometry of Phylogenetic Tree Spaces

Tropical Geometry of Phylogenetic Tree Spaces

Applied Algebraic Topology Network via YouTube Direct link

Comparing Phylogenetic Trees

5 of 14

5 of 14

Comparing Phylogenetic Trees

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Classroom Contents

Tropical Geometry of Phylogenetic Tree Spaces

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  1. 1 Introduction
  2. 2 Notation and Terminology
  3. 3 Where do phylogenetic trees come from?
  4. 4 Motivation and Overview
  5. 5 Comparing Phylogenetic Trees
  6. 6 BHV Space: A Geometric Construction
  7. 7 The BHV Metric
  8. 8 Defining Phylogenetic Trees as Metrics
  9. 9 Tropical Geometry
  10. 10 An Example: 4 Leaves
  11. 11 Statistical Issues: Stickiness & High Dimensionality
  12. 12 The Tropical Metric
  13. 13 Stability
  14. 14 What else do we know?

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