Samantha Moore

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20182021

most citedBigraded Betti numbers and Generalized Persistence Diagrams

4 citations · 5 across the 4 of their papers we have counts for

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math.AT2021★ 4 cited

Bigraded Betti numbers and Generalized Persistence Diagrams

Woojin Kim, Samantha Moore

Commutative diagrams of vector spaces and linear maps over $Z^{2}$ are objects of interest in topological data analysis (TDA) where this type of diagrams are called 2-parame…

math.AT2020

Hyperplane Restrictions of Indecomposable $n$ -Dimensional Persistence Modules

Samantha Moore

Understanding the structure of indecomposable $n$ -dimensional persistence modules is a difficult problem, yet is foundational for studying multipersistence. To this end, Buchet and…

math.AT2020★ 1 cited

A Combinatorial Formula for the Bigraded Betti Numbers

Samantha Moore

It has been shown that $1$ -parameter persistence modules have a very simple classification, namely there is a discrete invariant called a barcode that completely characterizes $1$ -…

Bigraded Betti numbers and Generalized Persistence Diagrams

Hyperplane Restrictions of Indecomposable n-Dimensional Persistence Modules

A Combinatorial Formula for the Bigraded Betti Numbers

Hyperplane Restrictions of Indecomposable $n$ -Dimensional Persistence Modules