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