Titlebook: Research in Computational Topology; Erin Wolf Chambers,Brittany Terese Fasy,Lori Ziege Book 2018 The Author(s) and the Association for Wom

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Persistent Homology over Directed Acyclic Graphs,urce and a single sink in .(..) arithmetic operations, where . is the number of vertices in the graph. We then demonstrate as an application of these tools a method to overlay two distinct filtrations of the same underlying space, which allows us to detect the most significant barcodes using considerably fewer points than standard persistence.

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Mind the Gap: A Study in Global Development Through Persistent Homology,he data when combined with geographic border structure. Our analysis is a multi-scale approach that reveals similarities and connections among countries at a variety of levels. We discover localized development patterns that are invisible in standard statistical methods.

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Book 2018e also solicited from the broader Women in Computational Topology network. The volume is accessible to a broad range of researchers, both within the field of computational topology and in related disciplines such as statistics, computational biology, and machine learning. .

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Ellen Gasparovic,Maria Gommel,Emilie Purvine,Radmila Sazdanovic,Bei Wang,Yusu Wang,Lori Ziegelmeier

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Alyson Bittner,Brittany Terese Fasy,Maia Grudzien,Sayonita Ghosh Hajra,Jici Huang,Kristine Pelatt,Co

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