Dimensionality Reduction via Distributed Persistence - DIPOLE

Dimensionality Reduction via Distributed Persistence - DIPOLE

Applied Algebraic Topology Network via YouTube Direct link

Intro

1 of 13

1 of 13

Intro

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Dimensionality Reduction via Distributed Persistence - DIPOLE

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  1. 1 Intro
  2. 2 Dimensionality Reduction
  3. 3 The DIPOLE Philosophy
  4. 4 Computational Concerns
  5. 5 Distributed Persistence Metrics
  6. 6 Properties of Distributed Persistence
  7. 7 Some Simple Cases
  8. 8 Invertibility
  9. 9 Lipschitz Inverse
  10. 10 Summary of Distributed Persistence
  11. 11 A Return to DIPOLE: Distributed Persistence Optimized Local Embeddings
  12. 12 Qualitative Results
  13. 13 Quantitative Results

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