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.
A Topological Framework for Identifying Phenomenological Bifurcations in Stochastic Dynamical Systems
2 Pith papers cite this work. Polarity classification is still indexing.
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A graph encoding of connected-component dynamics enables direct extraction of H0 and H1 zigzag barcodes for binary video, bypassing cubical complexes and achieving linear-time scaling via Dey-Hou decomposition.
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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From Frames to Features: Scalable Zigzag Persistence for Binary Video
A graph encoding of connected-component dynamics enables direct extraction of H0 and H1 zigzag barcodes for binary video, bypassing cubical complexes and achieving linear-time scaling via Dey-Hou decomposition.