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06/10/2023
K-Theory of Multi-parameter Persistence Modules: Additivity
Persistence modules stratify their underlying parameter space, a quality...
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12/26/2022
Efficient Graph Reconstruction and Representation Using Augmented Persistence Diagrams
Persistent homology is a tool that can be employed to summarize the shap...
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01/04/2022
Catching Polygons
Consider an arrangement of k lines intersecting the unit square. There i...
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10/09/2021
Zig-Zag Modules: Cosheaves and K-Theory
Persistence modules have a natural home in the setting of stratified spa...
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11/17/2020
Natural Stratifications of Reeb Spaces and Higher Morse Functions
Both Reeb spaces and higher Morse functions induce natural stratificatio...
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12/29/2019
Persistence Diagrams for Efficient Simplicial Complex Reconstruction
Topological descriptors have been shown to be useful for summarizing and...
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12/18/2019
Reconstructing Embedded Graphs from Persistence Diagrams
The persistence diagram (PD) is an increasingly popular topological desc...
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11/28/2018
Challenges in Reconstructing Shapes from Euler Characteristic Curves
Shape recognition and classification is a problem with a wide variety of...
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05/27/2018