Multiparameter Persistence Landscapes

zbMath1505.55015arXiv1812.09935MaRDI QIDQ4969110

Oliver Vipond

Publication date: 5 October 2020

Full work available at URL: https://arxiv.org/abs/1812.09935

zbMATH Keywords

machine learningtopological data analysisstatistical topologymultiparameter persistencepersistence landscapes

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Persistent homology and applications, topological data analysis (55N31) Learning and adaptive systems in artificial intelligence (68T05) Topological data analysis (62R40) Computational aspects of digital topology (68U03)

Related Items (6)

Computing the multicover bifiltration ⋮ Persistence and the Sheaf-Function Correspondence ⋮ Elder-Rule-Staircodes for Augmented Metric Spaces ⋮ Graded persistence diagrams and persistence landscapes ⋮ Compression for \(2\)-parameter persistent homology ⋮ Computing Minimal Presentations and Bigraded Betti Numbers of 2-Parameter Persistent Homology

Uses Software

• Persistence Landscape
• PersistenceImages

Cites Work

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• Persistent homology detects curvature
• Stratifying Multiparameter Persistent Homology
• Persistence Images: A Stable Vector Representation of Persistent Homology
• Statistical topological data analysis using persistence landscapes

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