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