The ring of algebraic functions on persistence bar codes

DOI10.4310/HHA.2016.v18.n1.a21zbMath1420.55017arXiv1304.0530WikidataQ59442819 ScholiaQ59442819MaRDI QIDQ303940

Gunnar Carlsson, Erik Carlsson, Aaron Adcock

Publication date: 23 August 2016

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0530

zbMATH Keywords

metric spacedata analysispersistent homologypoint cloud

Mathematics Subject Classification ID

Related Items (22)

Geometric and probabilistic limit theorems in topological data analysis ⋮ Nonparametric Estimation of Probability Density Functions of Random Persistence Diagrams ⋮ Signal classification with a point process distance on the space of persistence diagrams ⋮ Multiparameter Persistence Landscapes ⋮ Aspects of topological approaches for data science ⋮ Unnamed Item ⋮ Numeric invariants from multidimensional persistence ⋮ Modeling of persistent homology ⋮ Approximating continuous functions on persistence diagrams using template functions ⋮ Signatures, Lipschitz-Free Spaces, and Paths of Persistence Diagrams ⋮ Functional summaries of persistence diagrams ⋮ The Persistence Landscape and Some of Its Properties ⋮ Certified Mapper: Repeated Testing for Acyclicity and Obstructions to the Nerve Lemma ⋮ Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis ⋮ Tropical coordinates on the space of persistence barcodes ⋮ Geometric Metrics for Topological Representations ⋮ Architecture and evolution of semantic networks in mathematics texts ⋮ Computational tools in weighted persistent homology ⋮ Tropical Sufficient Statistics for Persistent Homology ⋮ Modelling persistence diagrams with planar point processes, and revealing topology with bagplots ⋮ A Bayesian Framework for Persistent Homology ⋮ Sliding windows and persistence: an application of topological methods to signal analysis

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