Hypothesis testing for topological data analysis
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Publication:141945
DOI10.1007/s41468-017-0008-7zbMath1396.62085arXiv1310.7467OpenAlexW2963300120MaRDI QIDQ141945
Katharine Turner, Andrew Robinson, Y. Aharonov
Publication date: 4 November 2017
Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.7467
Nonparametric hypothesis testing (62G10) Nonparametric statistical resampling methods (62G09) Other homology theories in algebraic topology (55N35)
Related Items (19)
On the topological data analysis extensions and comparisons ⋮ What Are Higher-Order Networks? ⋮ Bayesian topological learning for classifying the structure of biological networks ⋮ Functional summaries of persistence diagrams ⋮ Persistent homology based goodness-of-fit tests for spatial tessellations ⋮ Multiple hypothesis testing with persistent homology ⋮ Statistical inference for persistent homology applied to simulated fMRI time series data ⋮ Comparison of persistence diagrams ⋮ Topology-driven goodness-of-fit tests in arbitrary dimensions ⋮ The Persistence Landscape and Some of Its Properties ⋮ Same But Different: Distance Correlations Between Topological Summaries ⋮ Unnamed Item ⋮ Metrics and Stabilization in One Parameter Persistence ⋮ TDAstats ⋮ Tropical Sufficient Statistics for Persistent Homology ⋮ Modelling persistence diagrams with planar point processes, and revealing topology with bagplots ⋮ A random persistence diagram generator ⋮ Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces ⋮ A Bayesian Framework for Persistent Homology
Uses Software
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