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Essential Simplices in Persistent Homology and Subtle Admixture Detection
2018
Workshop on Algorithms in Bioinformatics
We introduce a robust mathematical definition of the notion of essential elements in a basis of the homology space and prove that these elements are unique. Next we give a novel visualization of the essential elements of the basis of the homology space through a rainfall-like plot (RFL). This plot is data-centric, i.e., is associated with the individual samples of the data, as opposed to the structure-centric barcodes of persistent homology. The proof-of-concept was tested on data generated by
doi:10.4230/lipics.wabi.2018.14
dblp:conf/wabi/BasuUP18
fatcat:i6ajike3lnhijdvgeur24ufmii