Canopies generalize vines and vineyards by tracking simplex pairs in filtered chain complexes instead of persistence diagram points, with proofs of homeomorphism and applications to multiplicity and monodromy.
The Structure and Stability of Persistence Modules
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
PLACE delivers a closed-form certified classification method for point clouds and graphs based on persistent homology with explicit excess-risk bounds, selection rules, and training-time certificates.
A normal form for curved differentials guarantees (4n-2)-complex structures from n-nilpotent curvature and gives Lipschitz control on persistent homology barcodes.
citing papers explorer
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Canopies: A Generalization of Vines and Vineyards for Parameterized Persistence
Canopies generalize vines and vineyards by tracking simplex pairs in filtered chain complexes instead of persistence diagram points, with proofs of homeomorphism and applications to multiplicity and monodromy.
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A Closed-Form Persistence-Landmark Pipeline for Certified Point-Cloud and Graph Classification
PLACE delivers a closed-form certified classification method for point clouds and graphs based on persistent homology with explicit excess-risk bounds, selection rules, and training-time certificates.
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Operational Calculus on Curved Differentials: Optimal N-Complex Bounds and Persistent Homology
A normal form for curved differentials guarantees (4n-2)-complex structures from n-nilpotent curvature and gives Lipschitz control on persistent homology barcodes.