An Approach to Assigning Semantics to Persistent Homology Classes

An Approach to Assigning Semantics to Persistent Homology Classes

Applied Algebraic Topology Network via YouTube Direct link

Algebraic topologists suggest: "Compare to a space we understand"

3 of 10

3 of 10

Algebraic topologists suggest: "Compare to a space we understand"

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An Approach to Assigning Semantics to Persistent Homology Classes

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  1. 1 Intro
  2. 2 What do I mean when I say "semantics"?
  3. 3 Algebraic topologists suggest: "Compare to a space we understand"
  4. 4 Why is this hard in practice?
  5. 5 How might we get around this problem?
  6. 6 Two filtered complexes, one set of vertices
  7. 7 Introduce a new filtration
  8. 8 Putting it all together
  9. 9 In summary
  10. 10 Where can I find details and code?

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