Results 11 to 20 of about 52,327 (248)
A Spatiotemporal Brain Network Analysis of Alzheimer’s Disease Based on Persistent Homology [PDF]
Frontiers in Aging Neuroscience, 2022 Current brain network studies based on persistent homology mainly focus on the spatial evolution over multiple spatial scales, and there is little research on the evolution of a spatiotemporal brain network of Alzheimer’s disease (AD).
Jiacheng Xing +4 more
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Persistent Homology Combined with Machine Learning for Social Network Activity Analysis [PDF]
EntropyCurrently, the rapid development of social media enables people to communicate more and more frequently in the network. Classifying user activities in social networks helps to better understand user behavior in social networks.
Zhijian Zhang +4 more
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Footprints of Geodesics in Persistent Homology
Mediterranean Journal of Mathematics, 2022 26 pages, 9 figures; Accepted for publication in Mediterranean Journal of ...
Ziga Virk, Virk Ziga
exaly +4 more sources
Fast computation of persistent homology representatives with involuted persistent homology
Foundations of Data Science, 2023 Persistent homology is typically computed through persistent cohomology. While this generally improves the running time significantly, it does not facilitate extraction of homology representatives. The mentioned representatives are geometric manifestations of the corresponding holes and often carry desirable information.
Ziga Virk
exaly +4 more sources
A review of some properties of persistent homology
Desimal, 2023 Every day, enormous complex geometric data are accumulating rapidly, and qualitative analysis is needed, which cannot be done properly without studying the shapes of those data.
Md. Safik Ullah +5 more
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Going beyond persistent homology using persistent homology
Advances in Neural Information Processing Systems 36, 2023 Accepted to NeurIPS ...
Immonen, Johanna Emilia +2 more
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On the Effectiveness of Persistent Homology
Advances in Neural Information Processing Systems 35, 2022 Persistent homology (PH) is one of the most popular methods in Topological Data Analysis. Even though PH has been used in many different types of applications, the reasons behind its success remain elusive; in particular, it is not known for which classes of problems it is most effective, or to what extent it can detect geometric or topological ...
Turkeš, Renata +2 more
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Topology Applied to Machine Learning: From Global to Local
Frontiers in Artificial Intelligence, 2021 Through the use of examples, we explain one way in which applied topology has evolved since the birth of persistent homology in the early 2000s. The first applications of topology to data emphasized the global shape of a dataset, such as the three-circle
Henry Adams, Michael Moy
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Computing persistent homology [PDF]
Proceedings of the twentieth annual symposium on Computational geometry, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Afra Zomorodian, Gunnar E. Carlsson
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Universe, 2023 Recently, persistent homology analysis has been used to investigate phase structure. In this study, we apply persistent homology analysis to the QCD effective model with heavy quarks at finite imaginary chemical potential; i.e., the Potts model with the ...
Hayato Antoku, Kouji Kashiwa
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