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math.AT2026
Counting Barcodes with the same Betti Curve
Henry Ashley, Håvard Bakke Bjerkevik, Justin Curry +2
This paper considers an important inverse problem in topological data analysis (TDA): How many different barcodes produce the same Betti curve? Equivalently, given a function $β\co…
math.AT2021
-Distances on Multiparameter Persistence Modules
Håvard Bakke Bjerkevik, Michael Lesnick
Motivated both by theoretical and practical considerations in topological data analysis, we generalize the -Wasserstein distance on barcodes to multiparameter persistence module…