RedZeD introduces a new algorithm for persistent homology of Vietoris-Rips filtrations using Reduction to Zero Differentials and active enumeration that speeds up the persistence pairing algorithm in many cases.
Homology groups of cubical sets with connections
2 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 2representative citing papers
Proves that Szczarba operators induce a simplicial map from the triangulated cubical cobar construction of a 1-reduced simplicial set to a simplicial group, confirming a prior result and implying comultiplicativity of the induced dga map.
citing papers explorer
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RedZeD: Computing persistent homology by Reduction to Zero Differentials
RedZeD introduces a new algorithm for persistent homology of Vietoris-Rips filtrations using Reduction to Zero Differentials and active enumeration that speeds up the persistence pairing algorithm in many cases.
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The Szczarba map and the cubical cobar construction
Proves that Szczarba operators induce a simplicial map from the triangulated cubical cobar construction of a 1-reduced simplicial set to a simplicial group, confirming a prior result and implying comultiplicativity of the induced dga map.