Introduces Hodge spectral relaxations and filters as differentiable surrogates for Betti numbers and persistent homology in optimization on graphs and point clouds.
arXiv preprint arXiv:2210.06424 , year=
2 Pith papers cite this work. Polarity classification is still indexing.
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math.AT 2years
2026 2verdicts
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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Hodge Spectral Surrogates for Topology-Constrained Optimization
Introduces Hodge spectral relaxations and filters as differentiable surrogates for Betti numbers and persistent homology in optimization on graphs and point clouds.
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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.