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.
Small coresets via negative dependence: Dpps, linear statistics, and con- centration.Advances in Neural Information Processing Systems, 37:84329–84349, 2024
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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.