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What is Robust Statistics in Hypothesis Testing about?
This document explores the distributions of persistent homology barcodes derived from subsamples of metric measure spaces, highlighting their robustness as invariants for topological data analysis. It addresses the limitations of traditional persistent homology in hypothesis testing and confidence intervals due to sensitivity to noise and low probability features. The authors propose new robust statistical measures, including homological distance and median homological distance, which offer more reliable te
- Author
- Sid Ahmed Mein
- Language
- EN