发布求助
文献互助 智能选刊 最新文献

Journal of applied and computational topology最新文献

筛选
英文 中文
Moduli spaces of morse functions for persistence morse函数持久性的模空间
Journal of applied and computational topology Pub Date : 2020-06-27 DOI: 10.1007/s41468-020-00055-x
Michael J. Catanzaro, J. Curry, Brittany Terese Fasy, J. Lazovskis, Greg Malen, Hans Riess, Bei Wang, Matthew John Zabka
{"title":"Moduli spaces of morse functions for persistence","authors":"Michael J. Catanzaro, J. Curry, Brittany Terese Fasy, J. Lazovskis, Greg Malen, Hans Riess, Bei Wang, Matthew John Zabka","doi":"10.1007/s41468-020-00055-x","DOIUrl":"https://doi.org/10.1007/s41468-020-00055-x","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-020-00055-x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49531871","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: 21
Dimensionality reduction for k-distance applied to persistent homology k-距离降维在持久同调中的应用
Journal of applied and computational topology Pub Date : 2020-06-23 DOI: 10.1007/s41468-021-00079-x
Shreya Arya, J. Boissonnat, Kunal Dutta, Martin Lotz
{"title":"Dimensionality reduction for k-distance applied to persistent homology","authors":"Shreya Arya, J. Boissonnat, Kunal Dutta, Martin Lotz","doi":"10.1007/s41468-021-00079-x","DOIUrl":"https://doi.org/10.1007/s41468-021-00079-x","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44675318","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: 5
Computing persistent Stiefel–Whitney classes of line bundles 计算线束的持久Stiefel-Whitney类
Journal of applied and computational topology Pub Date : 2020-05-26 DOI: 10.1007/s41468-021-00080-4
Raphaël Tinarrage
{"title":"Computing persistent Stiefel–Whitney classes of line bundles","authors":"Raphaël Tinarrage","doi":"10.1007/s41468-021-00080-4","DOIUrl":"https://doi.org/10.1007/s41468-021-00080-4","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42162639","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: 3
Cosheaf representations of relations and Dowker complexes 关系的Cosheaf表示与Dowker复形
Journal of applied and computational topology Pub Date : 2020-05-25 DOI: 10.1007/s41468-021-00078-y
Michael Robinson
{"title":"Cosheaf representations of relations and Dowker complexes","authors":"Michael Robinson","doi":"10.1007/s41468-021-00078-y","DOIUrl":"https://doi.org/10.1007/s41468-021-00078-y","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47495190","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
On the growth of topological complexity 论拓扑复杂度的增长
Journal of applied and computational topology Pub Date : 2020-05-20 DOI: 10.1007/s41468-020-00060-0
D. Kishimoto, A. Yamaguchi
{"title":"On the growth of topological complexity","authors":"D. Kishimoto, A. Yamaguchi","doi":"10.1007/s41468-020-00060-0","DOIUrl":"https://doi.org/10.1007/s41468-020-00060-0","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-020-00060-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47282490","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: 1
On homotopy types of Vietoris–Rips complexes of metric gluings 论度量胶合的 Vietoris-Rips 复数的同调类型
Journal of applied and computational topology Pub Date : 2020-05-20 DOI: 10.1007/s41468-020-00054-y
Michal Adamaszek, Henry Adams, Ellen Gasparovic, Maria Gommel, Emilie Purvine, R. Sazdanovic, Bei Wang, Yusu Wang, Lori Ziegelmeier
{"title":"On homotopy types of Vietoris–Rips complexes of metric gluings","authors":"Michal Adamaszek, Henry Adams, Ellen Gasparovic, Maria Gommel, Emilie Purvine, R. Sazdanovic, Bei Wang, Yusu Wang, Lori Ziegelmeier","doi":"10.1007/s41468-020-00054-y","DOIUrl":"https://doi.org/10.1007/s41468-020-00054-y","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141204057","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: 1
Complexes of tournaments, directionality filtrations and persistent homology 竞赛、方向性过滤和持续同源的复合体
Journal of applied and computational topology Pub Date : 2020-02-29 DOI: 10.1007/s41468-021-00068-0
Dejan Govc, R. Levi, Jason P. Smith
{"title":"Complexes of tournaments, directionality filtrations and persistent homology","authors":"Dejan Govc, R. Levi, Jason P. Smith","doi":"10.1007/s41468-021-00068-0","DOIUrl":"https://doi.org/10.1007/s41468-021-00068-0","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-021-00068-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53194168","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: 10
Homotopy type of skeleta of the flag complex over a finite vector space and generalized Galois numbers 有限向量空间上标志复合体骨架的同伦类型及广义伽罗瓦数
Journal of applied and computational topology Pub Date : 2020-02-14 DOI: 10.1007/s41468-020-00049-9
Jorge Aguilar-Guzmán, Jesús González, José Luis León-Medina
{"title":"Homotopy type of skeleta of the flag complex over a finite vector space and generalized Galois numbers","authors":"Jorge Aguilar-Guzmán, Jesús González, José Luis León-Medina","doi":"10.1007/s41468-020-00049-9","DOIUrl":"https://doi.org/10.1007/s41468-020-00049-9","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-020-00049-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53193960","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: 0
Homotopical decompositions of simplicial and Vietoris Rips complexes 单纯复形和Vietoris-Rips复形的同态分解
Journal of applied and computational topology Pub Date : 2020-02-09 DOI: 10.1007/s41468-021-00066-2
W. Chachólski, Alvin Jin, Martina Scolamiero, Francesca Tombari
{"title":"Homotopical decompositions of simplicial and Vietoris Rips complexes","authors":"W. Chachólski, Alvin Jin, Martina Scolamiero, Francesca Tombari","doi":"10.1007/s41468-021-00066-2","DOIUrl":"https://doi.org/10.1007/s41468-021-00066-2","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-021-00066-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48581391","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: 7
Contractibility of a persistence map preimage. 持久性映射原映像的可收缩性。
Journal of applied and computational topology Pub Date : 2020-01-01 Epub Date: 2020-08-28 DOI: 10.1007/s41468-020-00059-7
Jacek Cyranka, Konstantin Mischaikow, Charles Weibel
{"title":"Contractibility of a persistence map preimage.","authors":"Jacek Cyranka,&nbsp;Konstantin Mischaikow,&nbsp;Charles Weibel","doi":"10.1007/s41468-020-00059-7","DOIUrl":"https://doi.org/10.1007/s41468-020-00059-7","url":null,"abstract":"<p><p>This work is motivated by the following question in data-driven study of dynamical systems: given a dynamical system that is observed via time series of persistence diagrams that encode topological features of snapshots of solutions, what conclusions can be drawn about solutions of the original dynamical system? We address this challenge in the context of an <i>N</i> dimensional system of ordinary differential equation defined in <math> <msup><mrow><mi>R</mi></mrow> <mi>N</mi></msup> </math> . To each point in <math> <msup><mrow><mi>R</mi></mrow> <mi>N</mi></msup> </math> (e.g. an initial condition) we associate a persistence diagram. The main result of this paper is that under this association the preimage of every persistence diagram is contractible. As an application we provide conditions under which multiple time series of persistence diagrams can be used to conclude the existence of a fixed point of the differential equation that generates the time series.</p>","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-020-00059-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38520536","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信