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Journal of applied and computational topology最新文献

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A comparison framework for interleaved persistence modules. 交错持久化模块的比较框架。
Journal of applied and computational topology Pub Date : 2019-06-01 Epub Date: 2019-05-16 DOI: 10.1007/s41468-019-00026-x
Shaun Harker, Miroslav Kramár, Rachel Levanger, Konstantin Mischaikow
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引用次数: 13
The reach, metric distortion, geodesic convexity and the variation of tangent spaces 切空间的可达性、度量失真、测地凸性和变分
Journal of applied and computational topology Pub Date : 2019-06-01 DOI: 10.1007/s41468-019-00029-8
J. Boissonnat, A. Lieutier, M. Wintraecken
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引用次数: 52
Embeddings of persistence diagrams into Hilbert spaces 持久图在Hilbert空间中的嵌入
Journal of applied and computational topology Pub Date : 2019-05-11 DOI: 10.1007/s41468-020-00056-w
Peter Bubenik, Alexander Wagner
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引用次数: 38
Generalized persistence algorithm for decomposing multiparameter persistence modules 分解多参数持久性模块的广义持久性算法
Journal of applied and computational topology Pub Date : 2019-04-07 DOI: 10.1007/s41468-022-00087-5
T. Dey, Cheng Xin
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引用次数: 32
Understanding the topology and the geometry of the space of persistence diagrams via optimal partial transport 通过最优部分传输了解持久性图空间的拓扑结构和几何形状
Journal of applied and computational topology Pub Date : 2019-01-10 DOI: 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":"5 1","pages":"1 - 53"},"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}
引用次数: 40
Approximation of quasi-states on manifolds 流形上拟态的逼近
Journal of applied and computational topology Pub Date : 2018-12-28 DOI: 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":"3 1","pages":"221 - 248"},"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}
引用次数: 2
Directed topological complexity 有向拓扑复杂性
Journal of applied and computational topology Pub Date : 2018-12-21 DOI: 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":"4 1","pages":"11 - 27"},"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}
引用次数: 9
Persistence Steenrod modules Persistence Steenrod模块
Journal of applied and computational topology Pub Date : 2018-12-12 DOI: 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":"6 1","pages":"475 - 502"},"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}
引用次数: 12
The fiber of the persistence map for functions on the interval 区间上函数的持久化映射的纤维
Journal of applied and computational topology Pub Date : 2018-12-01 DOI: 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":"215 1","pages":"301 - 321"},"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}
引用次数: 53
Topological spaces of persistence modules and their properties 持久性模块的拓扑空间及其属性
Journal of applied and computational topology Pub Date : 2018-12-01 DOI: 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":"2 1","pages":"233 - 269"},"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}
引用次数: 39
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