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math.AT2026
Topological simplification guided by forbidden regions
Jakub LeÅkiewicz, Bartosz Furmanek, MichaÅ LipiÅski +1
Topological simplification is the process of reducing complexity of a function while maintaining its essential features. Its goal is to find a new filter function, which reorders c…
math.AT2025
Persistent (Co)Homology in Matrix Multiplication Time
Dmitriy Morozov, Primoz Skraba
Most algorithms for computing persistent homology do so by tracking cycles that represent homology classes. There are many choices of such cycles, and specific choices have found d…