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Journal of applied and computational topology最新文献

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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
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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
Topological and metric properties of spaces of generalized persistence diagrams 广义持久图空间的拓扑和度量特性
Journal of applied and computational topology Pub Date : 2024-01-23 DOI: 10.1007/s41468-023-00157-2
Peter Bubenik, Iryna Hartsock
{"title":"Topological and metric properties of spaces of generalized persistence diagrams","authors":"Peter Bubenik, Iryna Hartsock","doi":"10.1007/s41468-023-00157-2","DOIUrl":"https://doi.org/10.1007/s41468-023-00157-2","url":null,"abstract":"","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"102 21","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139605763","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
Morse theoretic signal compression and reconstruction on chain complexes. 莫尔斯理论信号压缩与链复合物重建
Journal of applied and computational topology Pub Date : 2024-01-01 Epub Date: 2024-09-30 DOI: 10.1007/s41468-024-00191-8
Stefania Ebli, Celia Hacker, Kelly Maggs
{"title":"Morse theoretic signal compression and reconstruction on chain complexes.","authors":"Stefania Ebli, Celia Hacker, Kelly Maggs","doi":"10.1007/s41468-024-00191-8","DOIUrl":"https://doi.org/10.1007/s41468-024-00191-8","url":null,"abstract":"<p><p>At the intersection of Topological Data Analysis (TDA) and machine learning, the field of cellular signal processing has advanced rapidly in recent years. In this context, each signal on the cells of a complex is processed using the combinatorial Laplacian, and the resultant Hodge decomposition. Meanwhile, discrete Morse theory has been widely used to speed up computations by reducing the size of complexes while preserving their global topological properties. In this paper, we provide an approach to signal compression and reconstruction on chain complexes that leverages the tools of algebraic discrete Morse theory. The main goal is to reduce and reconstruct a based chain complex together with a set of signals on its cells via deformation retracts, preserving as much as possible the global topological structure of both the complex and the signals. We first prove that any deformation retract of real degree-wise finite-dimensional based chain complexes is equivalent to a Morse matching. We will then study how the signal changes under particular types of Morse matchings, showing its reconstruction error is trivial on specific components of the Hodge decomposition. Furthermore, we provide an algorithm to compute Morse matchings with minimal reconstruction error.</p>","PeriodicalId":73600,"journal":{"name":"Journal of applied and computational topology","volume":"8 8","pages":"2285-2326"},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11541343/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142634048","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
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