Harnessing Data Geometry for Biomedical Insights

Harnessing Data Geometry for Biomedical Insights

Computational Genomics Summer Institute CGSI via YouTube Direct link

Gaussian curvature

5 of 12

5 of 12

Gaussian curvature

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Classroom Contents

Harnessing Data Geometry for Biomedical Insights

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  1. 1 Intro
  2. 2 Fundamental challenges
  3. 3 What is a manifold?
  4. 4 Why is this true of scientific data?
  5. 5 Gaussian curvature
  6. 6 Diffusion Operator
  7. 7 Spectral clustering
  8. 8 Extraction of harmonic features
  9. 9 Stem Cell Development
  10. 10 Kantorovich Rubenstein Duality
  11. 11 Density estimation on Graphs
  12. 12 Thought experiment

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