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.
Besse,Manifolds all of whose geodesics are closed, Ergebnisse der Mathematik und ihrer Grenzge- biete [Results in Mathematics and Related Areas], vol
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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.