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Nonreconstruction of high-dimensional stochastic block model with bounded degree

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  • Zhang, Yue
  • Yuan, Mingao

Abstract

In this paper, we study the stochastic block model (SBM) with growing number of clusters and bounded degree. Specifically, for SBM Gsn(n,an,bn) with diverging sn blocks and fixed a and b(a>b>0), we prove that if (a−b)2

Suggested Citation

  • Zhang, Yue & Yuan, Mingao, 2020. "Nonreconstruction of high-dimensional stochastic block model with bounded degree," Statistics & Probability Letters, Elsevier, vol. 158(C).
    • Handle: RePEc:eee:stapro:v:158:y:2020:i:c:s0167715219303219
    DOI: 10.1016/j.spl.2019.108675
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    References listed on IDEAS

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    1. Peter J. Bickel & Purnamrita Sarkar, 2016. "Hypothesis testing for automated community detection in networks," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 78(1), pages 253-273, January.
    2. D. S. Choi & P. J. Wolfe & E. M. Airoldi, 2012. "Stochastic blockmodels with a growing number of classes," Biometrika, Biometrika Trust, vol. 99(2), pages 273-284.
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