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Journal of applied and computational topology最新文献

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The fiber of persistent homology for trees. 树木持久同源性的纤维。
Journal of applied and computational topology Pub Date : 2025-01-01 Epub Date: 2025-09-06 DOI: 10.1007/s41468-025-00213-z
David Beers, Jacob Leygonie
{"title":"The fiber of persistent homology for trees.","authors":"David Beers, Jacob Leygonie","doi":"10.1007/s41468-025-00213-z","DOIUrl":"10.1007/s41468-025-00213-z","url":null,"abstract":"<p><p>Consider the space of continuous functions on a geometric tree <i>X</i> whose persistent homology gives rise to a finite generic barcode <i>D</i>. We show that there are exactly as many path connected components in this space as there are merge trees whose barcode is <i>D</i>. We find that each component is homotopy equivalent to a configuration space on <i>X</i> with specialised constraints encoded by the merge tree. For barcodes <i>D</i> with either one or two intervals, our method also allows us to compute the homotopy type of this space of functions.</p>","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"9 3","pages":"22"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12414068/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145024820","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: 0
Tight quasi-universality of Reeb graph distances. Reeb图距离的紧拟普适性。
Journal of applied and computational topology Pub Date : 2025-01-01 Epub Date: 2025-02-12 DOI: 10.1007/s41468-025-00203-1
Ulrich Bauer, Håvard Bakke Bjerkevik, Benedikt Fluhr
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引用次数: 0
Proceedings of ATMCS10 ATMCS10 会议记录
Journal of applied and computational topology Pub Date : 2024-07-15 DOI: 10.1007/s41468-024-00187-4
Ulrike Tillmann, Gunnar Carlsson
{"title":"Proceedings of ATMCS10","authors":"Ulrike Tillmann, Gunnar Carlsson","doi":"10.1007/s41468-024-00187-4","DOIUrl":"https://doi.org/10.1007/s41468-024-00187-4","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"10 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141646285","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
Homotopy, homology, and persistent homology using closure spaces 使用闭合空间的同调、同调和持久同调
Journal of applied and computational topology Pub Date : 2024-07-01 DOI: 10.1007/s41468-024-00183-8
Peter Bubenik, Nikola Milićević
{"title":"Homotopy, homology, and persistent homology using closure spaces","authors":"Peter Bubenik, Nikola Milićević","doi":"10.1007/s41468-024-00183-8","DOIUrl":"https://doi.org/10.1007/s41468-024-00183-8","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"4 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141698290","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
Ambiguities in neural-network-based hyperedge prediction 基于神经网络的超edge 预测中的模糊性
Journal of applied and computational topology Pub Date : 2024-05-07 DOI: 10.1007/s41468-024-00172-x
Changlin Wan, Muhan Zhang, Pengtao Dang, Weiyu Hao, Sha Cao, Pan Li, Chi Zhang
{"title":"Ambiguities in neural-network-based hyperedge prediction","authors":"Changlin Wan, Muhan Zhang, Pengtao Dang, Weiyu Hao, Sha Cao, Pan Li, Chi Zhang","doi":"10.1007/s41468-024-00172-x","DOIUrl":"https://doi.org/10.1007/s41468-024-00172-x","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"129 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141002946","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
Depth in arrangements: Dehn–Sommerville–Euler relations with applications 排列的深度Dehn-Sommerville-Euler 关系及其应用
Journal of applied and computational topology Pub Date : 2024-05-03 DOI: 10.1007/s41468-024-00173-w
R. Biswas, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner, M. Saghafian
{"title":"Depth in arrangements: Dehn–Sommerville–Euler relations with applications","authors":"R. Biswas, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner, M. Saghafian","doi":"10.1007/s41468-024-00173-w","DOIUrl":"https://doi.org/10.1007/s41468-024-00173-w","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"44 188","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141016743","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
Torsion-weighted spanning acycle entropy in cubical lattices and Mahler measures 立方晶格中的扭转加权跨循环熵和马勒度量
Journal of applied and computational topology Pub Date : 2024-02-24 DOI: 10.1007/s41468-024-00163-y
Yasuaki Hiraoka, Tomoyuki Shirai
{"title":"Torsion-weighted spanning acycle entropy in cubical lattices and Mahler measures","authors":"Yasuaki Hiraoka, Tomoyuki Shirai","doi":"10.1007/s41468-024-00163-y","DOIUrl":"https://doi.org/10.1007/s41468-024-00163-y","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"13 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140435018","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
Pseudospheres: combinatorics, topology and distributed systems 伪球：组合学、拓扑学和分布式系统
Journal of applied and computational topology Pub Date : 2024-02-10 DOI: 10.1007/s41468-023-00162-5
Luis Alberto
{"title":"Pseudospheres: combinatorics, topology and distributed systems","authors":"Luis Alberto","doi":"10.1007/s41468-023-00162-5","DOIUrl":"https://doi.org/10.1007/s41468-023-00162-5","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":" 1146","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139786963","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
Pseudospheres: combinatorics, topology and distributed systems 伪球：组合学、拓扑学和分布式系统
Journal of applied and computational topology Pub Date : 2024-02-10 DOI: 10.1007/s41468-023-00162-5
Luis Alberto
{"title":"Pseudospheres: combinatorics, topology and distributed systems","authors":"Luis Alberto","doi":"10.1007/s41468-023-00162-5","DOIUrl":"https://doi.org/10.1007/s41468-023-00162-5","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"29 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139846834","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
Large deviation principle for persistence diagrams of random cubical filtrations 随机立方体过滤持久图的大偏差原理
Journal of applied and computational topology Pub Date : 2024-01-25 DOI: 10.1007/s41468-023-00161-6
Shu Kanazawa, Yasuaki Hiraoka, Jun Miyanaga, Kenkichi Tsunoda
{"title":"Large deviation principle for persistence diagrams of random cubical filtrations","authors":"Shu Kanazawa, Yasuaki Hiraoka, Jun Miyanaga, Kenkichi Tsunoda","doi":"10.1007/s41468-023-00161-6","DOIUrl":"https://doi.org/10.1007/s41468-023-00161-6","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"58 16","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139598858","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
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