Spectral DPPs from Markov diffusion generators deliver variance reduction of order n^{1-1/d_int} and MSE rates n^{-1/2-1/(2d_int)} on compact manifolds and k-NN/ε-graphs.
A graph discretization of the Laplace–Beltrami operator.Journal of Spectral Theory, 4(4):675–714, 2014
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Fast determinantal sampling on general spaces and diffusion geometry
Spectral DPPs from Markov diffusion generators deliver variance reduction of order n^{1-1/d_int} and MSE rates n^{-1/2-1/(2d_int)} on compact manifolds and k-NN/ε-graphs.