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math.AT2023
Pruning vineyards: updating barcodes and representative cycles by removing simplices
Barbara Giunti, Jānis Lazovskis
The barcode of a filtration and its representative cycles encode rich information often useful in data analysis. However, obtaining them can be computationally expensive. Therefore…
cs.DL2023
DONUT -- Creation, Development, and Opportunities of a Database
Barbara Giunti, Jānis Lazovskis, Bastian Rieck
DONUT is a database of papers about practical, real-world uses of Topological Data Analysis (TDA). Its original seed was planted in a group chat formed during the HIM Spring School…