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Bernd Sturmfels - Learning Algebraic Varieties from Samples
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- 1 Introduction
- 2 Algebraic varieties
- 3 Geometric features
- 4 Algebraic geometers
- 5 Data
- 6 How to sample
- 7 Running examples
- 8 How to sample point
- 9 Intrinsic dimension
- 10 Correlation dimension
- 11 Dimension diagrams
- 12 Topological data analysis
- 13 The reach
- 14 Tangent spaces
- 15 Algebraic geometry
- 16 What next
- 17 How are we starting
- 18 Machine learning
- 19 Generalized principle component analysis
- 20 Numerical analysis
- 21 Cyclooctane
- 22 Data sets
- 23 Community
