Introduces SiRUP algorithm to update reduced boundary matrix, barcodes, and representative cycles for simplex removals in filtrations, claiming lower complexity than recomputing from scratch.
Tight basis cycle representatives for persistent homology of large biological data sets
1 Pith paper cite this work. Polarity classification is still indexing.
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Pruning vineyards: updating barcodes and representative cycles by removing simplices
Introduces SiRUP algorithm to update reduced boundary matrix, barcodes, and representative cycles for simplex removals in filtrations, claiming lower complexity than recomputing from scratch.