Robust Statistics, Hypothesis Testing, and Confidence Intervals for Persistent Homology on Metric Measure Spaces

2014/05/14 by Andrew J. Blumberg, Itamar Gal, Michael A. Mandell +1 · 51 citations
Computer Science · Mathematics · Medicine · #Algorithm #Computer science #Confidence interval #Data mining #Discrete mathematics #Homology (biology) #Leprosy Research and Treatment #Mathematics #Measure (data warehouse) #Metric (unit) #Metric space #Persistent homology #Statistical hypothesis testing #Statistics #Topological and Geometric Data Analysis #Topological data analysis

paper · doi:10.1007/s10208-014-9201-4

published in Foundations of Computational Mathematics 14(4), 745-789 (Springer Science and Business Media LLC)

openalex publication_date 2014/05/14 · crossref created 2014/05/14 · crossref issued 2014/05/15 · crossref published 2014/05/15 · crossref published-online 2014/05/15 · crossref published-print 2014/08/01 · crossref deposited 2019/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25 · crossref indexed 2026/08/05

Citations

• Persistent homology for random fields and complexes
• Vietoris-Rips complexes of metric spaces near a closed Riemannian manifold
• Stability of Persistence Diagrams
• Probability measures on the space of persistence diagrams
• On the Local Behavior of Spaces of Natural Images
• Computing Persistent Homology
• Crackle: The Persistent Homology of Noise
• Zigzag Persistence
• Fréchet Means for Distributions of Persistence diagrams
• Topological Persistence and Simplification

Cited by

• Topological data analysis [wikipedia]