Pub Date : 2019-05-11DOI: 10.1007/s41468-020-00056-w
Peter Bubenik, Alexander Wagner
{"title":"Embeddings of persistence diagrams into Hilbert spaces","authors":"Peter Bubenik, Alexander Wagner","doi":"10.1007/s41468-020-00056-w","DOIUrl":"https://doi.org/10.1007/s41468-020-00056-w","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-020-00056-w","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47034247","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-10DOI: 10.1007/s41468-020-00061-z
Vincent Divol, Théo Lacombe
{"title":"Understanding the topology and the geometry of the space of persistence diagrams via optimal partial transport","authors":"Vincent Divol, Théo Lacombe","doi":"10.1007/s41468-020-00061-z","DOIUrl":"https://doi.org/10.1007/s41468-020-00061-z","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-020-00061-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48187857","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-12-28DOI: 10.1007/s41468-019-00030-1
A. Dickstein, F. Zapolsky
{"title":"Approximation of quasi-states on manifolds","authors":"A. Dickstein, F. Zapolsky","doi":"10.1007/s41468-019-00030-1","DOIUrl":"https://doi.org/10.1007/s41468-019-00030-1","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-019-00030-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43678219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-12-21DOI: 10.1007/s41468-019-00034-x
É. Goubault, M. Farber, Aurélien Sagnier
{"title":"Directed topological complexity","authors":"É. Goubault, M. Farber, Aurélien Sagnier","doi":"10.1007/s41468-019-00034-x","DOIUrl":"https://doi.org/10.1007/s41468-019-00034-x","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-019-00034-x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43277196","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-12-12DOI: 10.1007/s41468-022-00093-7
Umberto Lupo, A. Medina-Mardones, Guillaume Tauzin
{"title":"Persistence Steenrod modules","authors":"Umberto Lupo, A. Medina-Mardones, Guillaume Tauzin","doi":"10.1007/s41468-022-00093-7","DOIUrl":"https://doi.org/10.1007/s41468-022-00093-7","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47588704","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-12-01DOI: 10.1007/s41468-019-00024-z
J. Curry
{"title":"The fiber of the persistence map for functions on the interval","authors":"J. Curry","doi":"10.1007/s41468-019-00024-z","DOIUrl":"https://doi.org/10.1007/s41468-019-00024-z","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-019-00024-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53193666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-12-01DOI: 10.1007/s41468-018-0022-4
Peter Bubenik, T. Vergili
{"title":"Topological spaces of persistence modules and their properties","authors":"Peter Bubenik, T. Vergili","doi":"10.1007/s41468-018-0022-4","DOIUrl":"https://doi.org/10.1007/s41468-018-0022-4","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-018-0022-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53193539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-11-22DOI: 10.1007/s41468-020-00062-y
Yuriy Mileyko
{"title":"Another look at recovering local homology from samples of stratified sets","authors":"Yuriy Mileyko","doi":"10.1007/s41468-020-00062-y","DOIUrl":"https://doi.org/10.1007/s41468-020-00062-y","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-020-00062-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46411271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-11-15DOI: 10.1007/s41468-019-00037-8
Haibin Hang, Facundo Mémoli, W. Mio
{"title":"A topological study of functional data and Fréchet functions of metric measure spaces","authors":"Haibin Hang, Facundo Mémoli, W. Mio","doi":"10.1007/s41468-019-00037-8","DOIUrl":"https://doi.org/10.1007/s41468-019-00037-8","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-019-00037-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44191980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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