About: Topological data analysis

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Analysis of datasets using techniques from topology

Property	Value
dbo:description	analysis of datasets using techniques from topology (en)
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dbo:wikiPageExternalLink	https://books.google.com/books%3Fid=MDXa6gFRZuIC https://CRAN.R-project.org/package=TDAstats http://www.sas.upenn.edu/~vnanda/perseus/index.html https://www.math.cornell.edu/~hatcher/AT/ATpage.html https://web.archive.org/web/20160131140959/http:/www.ima.umn.edu/topology/ https://topology-tool-kit.github.io/ https://github.com/DIPHA/dipha/ https://cran.r-project.org/web/packages/TDA/index.html http://www.mrzv.org/software/dionysus/ https://github.com/giotto-ai/giotto-tda http://appliedtopology.github.io/javaplex/ http://appliedtopology.org/source-material-for-topological-data-analysis/ http://danifold.net/mapper/ https://www.ias.edu/about/publications/ias-letter/articles/2013-summer/lesnick-topological-data-analysis https://books.google.com/books%3Fid=if8dCwAAQBAJ https://scikit-learn.org/stable/ http://www.birs.ca/events/2012/5-day-workshops/12w5081 http://www.math.upenn.edu/~ghrist/notes.html https://www.ima.umn.edu/topology/ https://project.inria.fr/gudhi/software/ https://archive.today/20130629100858/http:/phat.googlecode.com/ https://github.com/Ripser/ripser https://www.youtube.com/watch%3Fv=2PSqWBIrn90 https://www.youtube.com/watch%3Fv=fUvl-B2lx5Q https://www.youtube.com/watch%3Fv=iOxLgbnl1u4 https://www.researchgate.net/publication/327427685_Topological_Kernel_Learning
dbo:wikiPageWikiLink	dbr:Homology_(mathematics) dbr:Dimensionality_reduction dbr:Persistent_homology dbr:File:Illustration_of_Typical_Workflow_in_TDA.jpeg dbr:Fundamental_theorem_of_finitely_generated_abelian_groups dbr:Category_theory dbr:Applied_mathematics dbc:Articles_with_example_R_code dbr:Machine_learning dbr:Principal_component_analysis dbr:Sheaf_(mathematics) dbr:Morse_theory dbr:Topology dbc:Homology_theory dbr:Computer_vision dbr:Betti_number dbr:Čech_cohomology dbr:Reeb_graph dbr:Fréchet_mean dbr:Lipschitz_continuity dbr:Spectral_sequence dbr:Algebraic_topology dbr:Covariance dbr:Multidimensional_scaling dbc:Computational_topology dbr:Computational_topology dbc:Applied_mathematics dbr:Matroid dbr:Mutual_information dbr:Initial_and_terminal_objects dbr:Simplicial_complex dbr:Self-similarity dbc:Data_analysis dbr:Field_(mathematics) dbr:Confidence_interval dbr:Lotka–Volterra_equations dbr:Complex_network dbr:Functor dbr:Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain dbr:Fiber_(mathematics) dbr:Discrete_Morse_theory dbr:Single-linkage_clustering dbr:Data_mining dbr:Algebraic_geometry dbr:Metric_(mathematics) dbr:Wasserstein_metric dbr:Scientific_visualization dbr:Correlation_coefficient dbr:Point_cloud dbr:Extended_real_number_line dbr:Size_theory dbr:Gabriel's_theorem dbr:Conditional_independence dbr:Vanessa_Robins dbr:Dan_Burghelea dbr:Vietoris–Rips_complex dbr:Shape_analysis_(digital_geometry) dbr:Nerve_of_a_covering dbr:Null_hypothesis_significance_testing dbr:Jordan_block dbr:Markov_chains dbr:Multiset_(abstract_data_type) dbr:Preordered_set dbr:Cech_complex
dbp:date	2016-01-31 (xsd:date)
dbp:text	one being the study of homological invariants of data on individual data sets, and the other is the use of homological invariants in the study of databases where the data points themselves have geometric structure. (en)
dbp:url	https://web.archive.org/web/20160131140959/http:/www.ima.umn.edu/topology/
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dct:subject	dbc:Articles_with_example_R_code dbc:Homology_theory dbc:Computational_topology dbc:Applied_mathematics dbc:Data_analysis
gold:hypernym	dbr:Approach
rdfs:label	Topological data analysis (en) Топологический анализ данных (ru) Análise topológica de dados (pt) Топологічний аналіз даних (uk) 拓撲數據分析 (zh)
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