Estimating the Reach of a Manifold

Estimating the Reach of a Manifold

Applied Algebraic Topology Network via YouTube Direct link

Intro

1 of 15

1 of 15

Intro

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Estimating the Reach of a Manifold

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  1. 1 Intro
  2. 2 Medial axis and reach
  3. 3 Problem statement
  4. 4 Reach and regularity
  5. 5 Where is the reach attained?
  6. 6 Geometric and Statistical models
  7. 7 What loss for this problem?
  8. 8 About the third order condition
  9. 9 Another formulation for the reach
  10. 10 Minimax Estimate in the Global Case
  11. 11 Minimax Estimate in the Local Case
  12. 12 Le Cam's Lemma Heuristic
  13. 13 What Tangent Spaces are Unknown?
  14. 14 Tangent Space Stability
  15. 15 Yet to Be Done

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