Statistical inference for persistent homology applied to simulated fMRI time series data

DOI10.3934/fods.2022014OpenAlexW4288769727MaRDI QIDQ6154245

Adam Regalski, Vaibhav A. Diwadkar, Andrew Salch, Nkechi Nnadi, Mohammad Behzad Kang, Asadur Chowdury, Maria Berishaj, Hassan Abdallah

Publication date: 14 February 2024

Published in: Foundations of Data Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/fods.2022014

zbMATH Keywords

statisticsneurosciencefMRItopological data analysispersistent homology

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Topological data analysis (62R40)

Cites Work

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• Hypothesis testing for topological data analysis
• Bayesian topological signal processing
• Sliding windows and persistence: an application of topological methods to signal analysis
• Extending hypothesis testing with persistent homology to three or more groups
• Optimal rates of convergence for persistence diagrams in Topological Data Analysis
• Topological Time Series Analysis
• Computational Topology for Data Analysis
• Persistent homology detects curvature

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