introduction to topological data analysisseoulai.com/presentations/introduction_to... · michael...
TRANSCRIPT
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Introduction to Topological Data Analysis
Aleksei Prokopev, SeoulAI, 2018
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Shape
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Invariance
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Scale
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Rotation
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Deformation
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Homeomorphism
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???
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Spot the difference
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Homology
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= 0
= 2
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Data
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Persistent Homology
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Simplex
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0 1 2
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Cycle
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0 1
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Simplicial Complex
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Filtration
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Persistence
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Pipeline
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Mapper
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Filtration
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Binning
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Clustering
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Examples
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Academia
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Industry
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Tools
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Data has shape.
Shape matters.