Sebastiano Cultrera di Montesano, Ondrej Draganov, Herbert Edelsbrunner, Morteza Saghafian
{"title":"色度拓扑数据分析","authors":"Sebastiano Cultrera di Montesano, Ondrej Draganov, Herbert Edelsbrunner, Morteza Saghafian","doi":"arxiv-2406.04102","DOIUrl":null,"url":null,"abstract":"Exploring the shape of point configurations has been a key driver in the\nevolution of TDA (short for topological data analysis) since its infancy. This\nsurvey illustrates the recent efforts to broaden these ideas to model spatial\ninteractions among multiple configurations, each distinguished by a color. It\ndescribes advances in this area and prepares the ground for further exploration\nby mentioning unresolved questions and promising research avenues while\nfocusing on the overlap with discrete geometry.","PeriodicalId":501570,"journal":{"name":"arXiv - CS - Computational Geometry","volume":"38 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Chromatic Topological Data Analysis\",\"authors\":\"Sebastiano Cultrera di Montesano, Ondrej Draganov, Herbert Edelsbrunner, Morteza Saghafian\",\"doi\":\"arxiv-2406.04102\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Exploring the shape of point configurations has been a key driver in the\\nevolution of TDA (short for topological data analysis) since its infancy. This\\nsurvey illustrates the recent efforts to broaden these ideas to model spatial\\ninteractions among multiple configurations, each distinguished by a color. It\\ndescribes advances in this area and prepares the ground for further exploration\\nby mentioning unresolved questions and promising research avenues while\\nfocusing on the overlap with discrete geometry.\",\"PeriodicalId\":501570,\"journal\":{\"name\":\"arXiv - CS - Computational Geometry\",\"volume\":\"38 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - CS - Computational Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2406.04102\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Computational Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.04102","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exploring the shape of point configurations has been a key driver in the
evolution of TDA (short for topological data analysis) since its infancy. This
survey illustrates the recent efforts to broaden these ideas to model spatial
interactions among multiple configurations, each distinguished by a color. It
describes advances in this area and prepares the ground for further exploration
by mentioning unresolved questions and promising research avenues while
focusing on the overlap with discrete geometry.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
