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gptkbp:instanceOf
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gptkb:mathematical_concept
|
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gptkbp:analyzes
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persistence of topological features
|
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gptkbp:appliesTo
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gptkb:machine_learning
biology
data analysis
neuroscience
material science
network analysis
sensor networks
image analysis
|
|
gptkbp:computes
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gptkb:Betti_numbers
homology groups
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gptkbp:field
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gptkb:topology
applied mathematics
computational topology
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gptkbp:introduced
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1990s
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gptkbp:notableContributor
|
gptkb:Gunnar_Carlsson
gptkb:Robert_Ghrist
gptkb:Herbert_Edelsbrunner
gptkb:David_Letscher
gptkb:Afra_Zomorodian
|
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gptkbp:output
|
gptkb:persistence_barcode
persistence diagram
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gptkbp:relatedTo
|
gptkb:barcode
gptkb:topology
gptkb:Čech_complex
gptkb:CW_complex
gptkb:Vietoris–Rips_complex
gptkb:Morse_theory
gptkb:bottleneck_distance
gptkb:cubical_complex
topological invariants
filtration
Wasserstein distance
multidimensional persistence
persistence diagram
persistent cohomology
stability theorem
zigzag persistence
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gptkbp:software
|
gptkb:Dionysus
gptkb:Perseus
gptkb:GUDHI
gptkb:Ripser
gptkb:javaplex
|
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gptkbp:studies
|
homological features of data
|
|
gptkbp:supportsAlgorithm
|
gptkb:Edelsbrunner-Letscher-Zomorodian_algorithm
|
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gptkbp:used_in
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topological data analysis
|
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gptkbp:bfsParent
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gptkb:Betti_number
gptkb:Herbert_Edelsbrunner
|
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gptkbp:bfsLayer
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6
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https://www.w3.org/2000/01/rdf-schema#label
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persistent homology
|