Intrinsic Topological Transforms via the Distance Kernel Embedding

Intrinsic Topological Transforms via the Distance Kernel Embedding

Applied Algebraic Topology Network via YouTube Direct link

Results for the Persistence Kernel Transform

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8 of 8

Results for the Persistence Kernel Transform

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Classroom Contents

Intrinsic Topological Transforms via the Distance Kernel Embedding

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  1. 1 Intro
  2. 2 Persistent Homology Transform
  3. 3 Geometry-Preserving Embedding
  4. 4 Stability Results for the Distance Kernel Embedding (DKE)
  5. 5 Inverse Results for the Distance Kernel Embedding (DKE)
  6. 6 Coarse Bounds (Continuous Case)
  7. 7 Coarse Bounds (Finite Case)
  8. 8 Results for the Persistence Kernel Transform

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