Introduces SiRUP algorithm to update reduced boundary matrix, barcodes, and representative cycles for simplex removals in filtrations, claiming lower complexity than recomputing from scratch.
Persistence Diagram Bundles: A Multidimensional Generalization of Vineyards
2 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 2representative citing papers
Introduces a gauge-geometry framework that computes curvature and holonomy of Hodge zero-mode transport to detect structural changes in parameter-dependent topological data.
citing papers explorer
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Pruning vineyards: updating barcodes and representative cycles by removing simplices
Introduces SiRUP algorithm to update reduced boundary matrix, barcodes, and representative cycles for simplex removals in filtrations, claiming lower complexity than recomputing from scratch.
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Gauge Geometry of Hodge Zero-Mode Transport in Parameter-Dependent Topological Data Analysis
Introduces a gauge-geometry framework that computes curvature and holonomy of Hodge zero-mode transport to detect structural changes in parameter-dependent topological data.