Where Do Two Populations of Persistence Diagrams Differ? Calibrated Local Inference at a Fixed Budget

Name: Where Do Two Populations of Persistence Diagrams Differ? Calibrated Local Inference at a Fixed Budget
Uploaded: 2026-10-19T12:30:42.845849+00:00
Duration: 296 s
Description: The research develops a method for simultaneously testing local differences between two populations of persistence diagrams using a fixed budget of diagrams. It defines local contrasts based on weighted feature mass in specific regions of the birth-death plane, achieving high statistical coverage (94%-98%) and outperforming pixelwise image inference methods.

The research develops a method for simultaneously testing local differences between two populations of persistence diagrams using a fixed budget of diagrams. It defines local contrasts based on weighted feature mass in specific regions of the birth-death plane, achieving high statistical coverage (94%-98%) and outperforming pixelwise image inference methods.

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