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Vertex nomination: The canonical sampling and the extended spectral nomination schemes

Author

Listed:
  • Yoder, Jordan
  • Chen, Li
  • Pao, Henry
  • Bridgeford, Eric
  • Levin, Keith
  • Fishkind, Donniell E.
  • Priebe, Carey
  • Lyzinski, Vince

Abstract

Suppose that one particular block in a stochastic block model is of interest, but block labels are only observed for a few of the vertices in the network. Utilizing a graph realized from the model and the observed block labels, the vertex nomination task is to order the vertices with unobserved block labels into a ranked nomination list with the goal of having an abundance of interesting vertices near the top of the list. There are vertex nomination schemes in the literature, including the optimally precise canonical nomination scheme LC and the consistent spectral partitioning nomination scheme LP. While the canonical nomination scheme LC is provably optimally precise, it is computationally intractable, being impractical to implement even on modestly sized graphs.

Suggested Citation

  • Yoder, Jordan & Chen, Li & Pao, Henry & Bridgeford, Eric & Levin, Keith & Fishkind, Donniell E. & Priebe, Carey & Lyzinski, Vince, 2020. "Vertex nomination: The canonical sampling and the extended spectral nomination schemes," Computational Statistics & Data Analysis, Elsevier, vol. 145(C).
    • Handle: RePEc:eee:csdana:v:145:y:2020:i:c:s0167947320300074
    DOI: 10.1016/j.csda.2020.106916
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    References listed on IDEAS

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    1. Daniel L. Sussman & Minh Tang & Donniell E. Fishkind & Carey E. Priebe, 2012. "A Consistent Adjacency Spectral Embedding for Stochastic Blockmodel Graphs," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 107(499), pages 1119-1128, September.
    2. Zhu, Mu & Ghodsi, Ali, 2006. "Automatic dimensionality selection from the scree plot via the use of profile likelihood," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 918-930, November.
    3. Matthew F. Glasser & Timothy S. Coalson & Emma C. Robinson & Carl D. Hacker & John Harwell & Essa Yacoub & Kamil Ugurbil & Jesper Andersson & Christian F. Beckmann & Mark Jenkinson & Stephen M. Smith , 2016. "A multi-modal parcellation of human cerebral cortex," Nature, Nature, vol. 536(7615), pages 171-178, August.
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    Cited by:

    1. Saxena, Ayushi & Lyzinski, Vince, 2025. "Lost in the shuffle: Testing power in the presence of errorful network vertex labels," Computational Statistics & Data Analysis, Elsevier, vol. 204(C).

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