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cs.CG2019
Computing Minimal Persistent Cycles: Polynomial and Hard Cases
Tamal K. Dey, Tao Hou, Sayan Mandal
Persistent cycles, especially the minimal ones, are useful geometric features functioning as augmentations for the intervals in a purely topological persistence diagram (also terme…
cs.CG2018
Persistent 1-Cycles: Definition, Computation, and Its Application
Tamal K. Dey, Tao Hou, Sayan Mandal
Persistence diagrams, which summarize the birth and death of homological features extracted from data, are employed as stable signatures for applications in image analysis and othe…