Graph Laplacian spectra on random samples converge to weighted Laplacian spectra on manifolds and non-collapsed Ricci limit spaces under lower Ricci curvature bounds, with explicit high-probability rates.
Portegies, and David Tewodrose,Embedding ofRCD ∗(K, N) spaces inL 2 via eigenfunctions, J
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Spectral convergence of graph Laplacians with Ricci curvature bounds and in non-collapsed Ricci limit spaces
Graph Laplacian spectra on random samples converge to weighted Laplacian spectra on manifolds and non-collapsed Ricci limit spaces under lower Ricci curvature bounds, with explicit high-probability rates.