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Bethe Hessian Recovery through the Kesten-Stigum Regime

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Key Insights

  • We show that outlier eigenvectors of the Bethe Hessian achieve weak recovery in the stochastic block model down to the Kesten-Stigum threshold, for every fixed common expected degree $d>1$.
  • This exten.
Cite this synthesis DOI: 10.48550/arXiv.2610.41802 ↗
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@misc{ acaciamarkets-research-bethe-hessian-recovery-through-the-kesten-stigum-regime,
  title = { Bethe Hessian Recovery through the Kesten-Stigum Regime },
  author = { Leszek },
  year = { 2026 },
  doi = { 10.48550/arXiv.2610.41802 },
  url = { http://arxiv.org/abs/2610.41802v1 },
  note = {Summarized and classified by AcaciaFund}
}
TY  - GEN
TI  - Bethe Hessian Recovery through the Kesten-Stigum Regime
AU  - Leszek
PY  - 2026
DO  - 10.48550/arXiv.2610.41802
UR  - http://arxiv.org/abs/2610.41802v1
ER  -

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Overview

We show that outlier eigenvectors of the Bethe Hessian achieve weak recovery in the stochastic block model down to the Kesten-Stigum threshold, for every fixed common expected degree $d>1$. This exten

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