Persistence Flamelets: Topological Invariants for Scale Spaces

DOI10.1080/10618600.2022.2074427OpenAlexW4280523468MaRDI QIDQ6094096

Tullia Padellini, Pierpaolo Brutti

Publication date: 9 October 2023

Published in: Journal of Computational and Graphical Statistics (Search for Journal in Brave)

Full work available at URL: https://figshare.com/articles/journal_contribution/Persistence_Flamelets_Topological_Invariants_for_Scale_Spaces/19742431

zbMATH Keywords

time seriestopological data analysisscale space methodsbandwidth exploration

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

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• Confidence sets for persistence diagrams
• A persistence landscapes toolbox for topological statistics
• Fréchet means for distributions of persistence diagrams
• The law of large numbers and the central limit theorem in Banach spaces
• An entropy-based persistence barcode
• A new entropy based summary function for topological data analysis
• Probabilistic Fréchet means for time varying persistence diagrams
• Asymptotics for general multivariate kernel density derivative estimators
• Probability measures on the space of persistence diagrams
• The Structure and Stability of Persistence Modules
• Detection of Abnormal Behavior Via Nonparametric Estimation of the Support
• SiZer for Exploration of Structures in Curves
• Geometry Helps to Compare Persistence Diagrams
• Stochastic Convergence of Persistence Landscapes and Silhouettes
• Supervised learning with indefinite topological Kernels
• Multivariate Density Estimation
• Persistence-Based Clustering in Riemannian Manifolds
• Statistical topological data analysis using persistence landscapes
• Non-Parametric Inference for Density Modes

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