A parameterized family of tensor products on persistence modules produces Künneth short exact sequences and universal coefficient theorems usable for persistent homology of filtered CW complexes and product spaces.
David Cohen-Steiner, Herbert Edelsbrunner, John Harer, and Yuriy Mileyko
4 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 4verdicts
UNVERDICTED 4representative citing papers
Random slicing for subsampling combined with Nadaraya-Watson smoothing enables faster and improved persistence-based topological optimization of point clouds in 2D and 3D.
A standardized pipeline converts time series to graphs, computes persistence diagrams, and extracts features that classify UCR benchmarks, with diffusion distance outperforming shortest-path metrics and performance varying by graph type.
Two persistent homology pipelines quantify regional thinning and pairwise structural similarity in T1 MRI, separating AD from CN subjects at ROC-AUC 0.895 and tracking longitudinal change without template registration.
citing papers explorer
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A continuum of K\"unneth theorems for persistence modules
A parameterized family of tensor products on persistence modules produces Künneth short exact sequences and universal coefficient theorems usable for persistent homology of filtered CW complexes and product spaces.
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Towards Scalable Persistence-Based Topological Optimization
Random slicing for subsampling combined with Nadaraya-Watson smoothing enables faster and improved persistence-based topological optimization of point clouds in 2D and 3D.
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Persistent Homology of Time Series through Complex Networks
A standardized pipeline converts time series to graphs, computes persistence diagrams, and extracts features that classify UCR benchmarks, with diffusion distance outperforming shortest-path metrics and performance varying by graph type.
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Homology-based Morphometry of Brain Atrophy: Methods and Applications
Two persistent homology pipelines quantify regional thinning and pairwise structural similarity in T1 MRI, separating AD from CN subjects at ROC-AUC 0.895 and tracking longitudinal change without template registration.