A stable rank network with a known Lipschitz constant certifies robustness radii for persistence diagrams, and on ORBIT5K it keeps high robust accuracy where a standard PersLay model collapses.
The Alpha complex Aα at a scale parameter α is constructed by first considering the union of balls centered at the points in P with radius α
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Certifying Robustness via Topological Representations
A stable rank network with a known Lipschitz constant certifies robustness radii for persistence diagrams, and on ORBIT5K it keeps high robust accuracy where a standard PersLay model collapses.