{"title":"TDApplied: An R package for machine learning and\ninference with persistence diagrams","authors":"Shael Brown, Reza Farivar-Mohseni","doi":"10.21105/joss.06321","DOIUrl":null,"url":null,"abstract":"Topological data analysis is a collection of tools, based on the mathematical fields of topology and geometry, for finding structure in whole datasets. Its main tool, persistent homology (Edelsbrunner et al., 2000; Zomorodian & Carlsson, 2005), computes a shape descriptor of a dataset called a persistence diagram which encodes information about holes that exist in the dataset (example applications span a variety of areas, see for example Gracia-Tabuenca et al. (2020), Haim Meirom & Bobrowski (2022)","PeriodicalId":503081,"journal":{"name":"Journal of Open Source Software","volume":"33 20","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Open Source Software","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21105/joss.06321","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Topological data analysis is a collection of tools, based on the mathematical fields of topology and geometry, for finding structure in whole datasets. Its main tool, persistent homology (Edelsbrunner et al., 2000; Zomorodian & Carlsson, 2005), computes a shape descriptor of a dataset called a persistence diagram which encodes information about holes that exist in the dataset (example applications span a variety of areas, see for example Gracia-Tabuenca et al. (2020), Haim Meirom & Bobrowski (2022)
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