Washington Mio - Stable Homology of Metric Measure Spaces
Applied Algebraic Topology Network via YouTube
Overview
Syllabus
Intro
Motivations
Remarks
Theoretical Framework
Outline
Scale-Space Representation of Data
An Example
Metric on Probability Measures
Wasserstein Distance
Stability of Local Homology
Consistency
On Rates of Convergence
An Experiment
Sampling the Distribution
Fréchet Functions
Visualization: 11
Illustration
A Variant of the Model
Localization Via Modulation
Randomizing K
Metric Spaces with a Dillusion Kernel
Metric Measure Spaces
Taxonomic Classification
Random Local Persistence Diagrams
Taught by
Applied Algebraic Topology Network