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 variational approach to the con- sistency of spectral clustering.Applied and Computational Harmonic Analysis, 45(2):239–281, 2018
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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.