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Computing Minimal Persistent Cycles - Polynomial and Hard Cases

Computing Minimal Persistent Cycles - Polynomial and Hard Cases

Applied Algebraic Topology Network via YouTube Direct link

Correctness of Algorithm 1

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Correctness of Algorithm 1

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Computing Minimal Persistent Cycles - Polynomial and Hard Cases

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  1. 1 Intro
  2. 2 Barcode/Persistence diagram
  3. 3 Problem definition
  4. 4 Summary
  5. 5 Weak pseudomanifold
  6. 6 Duality
  7. 7 Correctness of Algorithm 1
  8. 8 Void boundary reconstruction: Orientation
  9. 9 Preprocessing
  10. 10 Correctness of Algorithm 2
  11. 11 Suspension: Shifting dimension for reduction
  12. 12 Infinite interval hardness

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