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Motivations
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Classroom Contents
Washington Mio - Stable Homology of Metric Measure Spaces
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- 1 Intro
- 2 Motivations
- 3 Remarks
- 4 Theoretical Framework
- 5 Outline
- 6 Scale-Space Representation of Data
- 7 An Example
- 8 Metric on Probability Measures
- 9 Wasserstein Distance
- 10 Stability of Local Homology
- 11 Consistency
- 12 On Rates of Convergence
- 13 An Experiment
- 14 Sampling the Distribution
- 15 Fréchet Functions
- 16 Visualization: 11
- 17 Illustration
- 18 A Variant of the Model
- 19 Localization Via Modulation
- 20 Randomizing K
- 21 Metric Spaces with a Dillusion Kernel
- 22 Metric Measure Spaces
- 23 Taxonomic Classification
- 24 Random Local Persistence Diagrams
