A Gaussian-kernel diffusion operator on feature clouds yields closed-form class affinities and spectra in Gaussian models, with provably smooth observables under perturbations.
Bochner’s method for cell complexes and combinatorial Ricci curvature
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A modified Forman-Ricci curvature is defined for irregular convex mosaics and applied to distinguish fracture patterns.
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Diffusion Operator Geometry of Feedforward Representations
A Gaussian-kernel diffusion operator on feature clouds yields closed-form class affinities and spectra in Gaussian models, with provably smooth observables under perturbations.