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math.AT2020
Decomposing filtered chain complexes: geometry behind barcoding algorithms
Wojciech Chachólski, Barbara Giunti, Alvin Jin +1
In Topological Data Analysis, filtered chain complexes enter the persistence pipeline between the initial filtering of data and the final persistence invariants extraction. It is k…
math.AT2020
Homotopical decompositions of simplicial and Vietoris Rips complexes
Wojciech Chacholski, Alvin Jin, Martina Scolamiero +1
Motivated by applications in Topological Data Analysis, we consider decompositions of a simplicial complex induced by a cover of its vertices. We study how the homotopy type of suc…