Results 11 to 20 of about 54,259 (246)
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
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Introduction to Persistent Homology. [PDF]
, 2016 This video presents an introduction to persistent homology, aimed at a viewer who has mathematical aptitude but not necessarily knowledge of algebraic topology. Persistent homology is an algebraic method of discerning the topological features of complex data, which in recent years has found applications in fields such as image processing and biological
Wright, Matthew L.
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Homology and persistent homology [PDF]
, 2020 Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Francisco Belchí ...
Nobbe Fisas, Fritz Pere
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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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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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Homological Algebra for Persistence Modules [PDF]
Foundations of Computational Mathematics, 2021 41 pages, accepted by Foundations of Computational ...
Peter Bubenik, Nikola Milicevic
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Categorification of Persistent Homology [PDF]
Discrete & Computational Geometry, 2014 27 pages, v3: minor changes, to appear in Discrete & Computational ...
Peter Bubenik, Jonathan A. Scott
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Persistent homology for MCI classification: a comparative analysis between graph and Vietoris-Rips filtrations [PDF]
Frontiers in NeuroscienceDebanjali Bhattacharya +2 more
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Modeling of persistent homology [PDF]
Communications in Statistics - Theory and Methods, 2019 Topological Data Analysis (TDA) is a novel statistical technique, particularly powerful for the analysis of large and high dimensional data sets. Much of TDA is based on the tool of persistent homology, represented visually via persistence diagrams.
Agami, Sarit, Adler, Robert J.
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Persistent homology of groups [PDF]
Journal of Group Theory, 2011 We introduce and investigate notions of persistent homology for p-groups and for coclass trees of p-groups. Using computer techniques we show that persistent homology provides fairly strong homological invariants for p-groups of order at most 81. The strength of these invariants, and some elementary theoretical properties, suggest that persistent ...
Ellis, Graham, King, Simon
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