首页 > 最新文献

Journal of applied and computational topology最新文献

英文 中文
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":"5 1","pages":"215 - 248"},"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

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 N dimensional system of ordinary differential equation defined in R N . To each point in R N (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.

这项工作的动机是在数据驱动的动力系统研究中的以下问题:给定一个动力系统，通过编码解决方案快照的拓扑特征的持久性图的时间序列来观察，可以得出关于原始动力系统的解决方案的什么结论?我们在定义为rn的N维常微分方程系统的背景下解决了这一挑战。对于rn中的每个点(例如初始条件)，我们关联一个持久性图。本文的主要结果是在这种关联下，每个持久化图的原象都是可压缩的。作为一个应用，我们提供了一些条件，在这些条件下，持久性图的多个时间序列可以用来得出生成时间序列的微分方程的不动点的存在性。
{"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":"4 4","pages":"509-523"},"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
On the hardness of finding normal surfaces 关于寻找法向表面的硬度
Journal of applied and computational topology
Pub Date : 2019-12-19 DOI: 10.1007/s41468-021-00076-0
Benjamin A. Burton, Alexander He
{"title":"On the hardness of finding normal surfaces","authors":"Benjamin A. Burton, Alexander He","doi":"10.1007/s41468-021-00076-0","DOIUrl":"https://doi.org/10.1007/s41468-021-00076-0","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"5 1","pages":"583 - 619"},"PeriodicalIF":0.0,"publicationDate":"2019-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44026380","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
The Rado simplicial complex 拉多简单复合体
Journal of applied and computational topology
Pub Date : 2019-12-05 DOI: 10.1007/s41468-021-00069-z
M. Farber, Lewis Mead, Lewin Strauss
{"title":"The Rado simplicial complex","authors":"M. Farber, Lewis Mead, Lewin Strauss","doi":"10.1007/s41468-021-00069-z","DOIUrl":"https://doi.org/10.1007/s41468-021-00069-z","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"5 1","pages":"339 - 356"},"PeriodicalIF":0.0,"publicationDate":"2019-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-021-00069-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47478105","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
Digital fundamental groups and edge groups of clique complexes 集团复合体的数字基群和边群
Journal of applied and computational topology
Pub Date : 2019-10-17 DOI: 10.1007/s41468-022-00095-5
G. Lupton, N. Scoville
{"title":"Digital fundamental groups and edge groups of clique complexes","authors":"G. Lupton, N. Scoville","doi":"10.1007/s41468-022-00095-5","DOIUrl":"https://doi.org/10.1007/s41468-022-00095-5","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"6 1","pages":"529-558"},"PeriodicalIF":0.0,"publicationDate":"2019-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44776240","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
Spaces of directed paths on pre-cubical sets II 前立方集上有向路径的空间Ⅱ
Journal of applied and computational topology
Pub Date : 2019-08-30 DOI: 10.1007/s41468-019-00040-z
Krzysztof Ziemiański
{"title":"Spaces of directed paths on pre-cubical sets II","authors":"Krzysztof Ziemiański","doi":"10.1007/s41468-019-00040-z","DOIUrl":"https://doi.org/10.1007/s41468-019-00040-z","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"4 1","pages":"45 - 78"},"PeriodicalIF":0.0,"publicationDate":"2019-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-019-00040-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42632343","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: 14
Configuration spaces of disks in an infinite strip 配置无限条带中的磁盘空间
Journal of applied and computational topology
Pub Date : 2019-08-12 DOI: 10.1007/s41468-021-00070-6
H. Alpert, Matthew Kahle, R. Macpherson
{"title":"Configuration spaces of disks in an infinite strip","authors":"H. Alpert, Matthew Kahle, R. Macpherson","doi":"10.1007/s41468-021-00070-6","DOIUrl":"https://doi.org/10.1007/s41468-021-00070-6","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"100 1","pages":"357 - 390"},"PeriodicalIF":0.0,"publicationDate":"2019-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-021-00070-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53194217","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 topology of complexes of injective words 关于内射词复数的拓扑
Journal of applied and computational topology
Pub Date : 2019-08-09 DOI: 10.1007/s41468-019-00039-6
W. Chachólski, R. Levi, R. Meshulam
{"title":"On the topology of complexes of injective words","authors":"W. Chachólski, R. Levi, R. Meshulam","doi":"10.1007/s41468-019-00039-6","DOIUrl":"https://doi.org/10.1007/s41468-019-00039-6","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"4 1","pages":"29 - 44"},"PeriodicalIF":0.0,"publicationDate":"2019-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-019-00039-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42407909","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
Ripser: efficient computation of Vietoris–Rips persistence barcodes Ripser: Vietoris-Rips持久性条码的高效计算
Journal of applied and computational topology
Pub Date : 2019-08-07 DOI: 10.1007/s41468-021-00071-5
Ulrich Bauer
{"title":"Ripser: efficient computation of Vietoris–Rips persistence barcodes","authors":"Ulrich Bauer","doi":"10.1007/s41468-021-00071-5","DOIUrl":"https://doi.org/10.1007/s41468-021-00071-5","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"5 1","pages":"391 - 423"},"PeriodicalIF":0.0,"publicationDate":"2019-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-021-00071-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48169470","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: 246
A fundamental group for digital images 数字图像的基本组
Journal of applied and computational topology
Pub Date : 2019-06-14 DOI: 10.1007/s41468-021-00067-1
G. Lupton, J. Oprea, N. Scoville
{"title":"A fundamental group for digital images","authors":"G. Lupton, J. Oprea, N. Scoville","doi":"10.1007/s41468-021-00067-1","DOIUrl":"https://doi.org/10.1007/s41468-021-00067-1","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"5 1","pages":"249 - 311"},"PeriodicalIF":0.0,"publicationDate":"2019-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s41468-021-00067-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41606414","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: 14
首页 上一页 下一页 尾页
类型
全部 化学•材料 生命科学 医学 物理 工程技术 环境•农林 材料科学 地球科学 法学 管理学 化学 环境科学与生态学 计算机科学 教育学 经济学 农林科学 人文科学 生物学 数学 物理与天体物理 心理学 综合性期刊 其他 工业工程 理学 历史学 农学 文学 信息工程
数据库
全部 ACS Publications Elsevier ieeexplore Springer The Royal Society of Chemistry Wiley
期刊
Journal of applied and computational topology
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
﹀
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
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
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1