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Convergence Details About k-DPP Monte-Carlo Sampling for Large Graphs

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Abstract

This paper aims at making explicit the mixing time found by Anari et al. (2016) for k-DPP Monte-Carlo sampling when it is applied on large graphs. This yields a polynomial bound on the mixing time of the associated Markov chain under mild conditions on the eigenvalues of the Laplacian matrix when the number of edges grows.

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Correspondence to Diala Wehbe.

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Wehbe, D., Wicker, N. Convergence Details About k-DPP Monte-Carlo Sampling for Large Graphs. Sankhya B 84, 188–203 (2022). https://doi.org/10.1007/s13571-021-00258-x

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  • DOI: https://doi.org/10.1007/s13571-021-00258-x

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