Implicit_blockmodeling

Implicit blockmodeling

Implicit blockmodeling

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Implicit blockmodeling is an approach in blockmodeling, similar to a valued and homogeneity blockmodeling, where initially an additional normalization is used and then while specifying the parameter of the relevant link is replaced by the block maximum.[1]

This approach was first proposed by Batagelj and Ferligoj in 2000,[2]: 16–17  and developed by Aleš Žiberna in 2007/08.[3][4]

Comparing with homogeneity, the implicit blockmodeling will perform similarly with max-regular equivalence, but slightly worse in other settings. It will perform worse than valued and homogeneity blockmodeling with a pre-specified blockmodel.[1]

References

  1. [1]
    Žiberna, Aleš (2009). "Evaluation of Direct and Indirect Blockmodeling of Regular Equivalence in Valued Networks by Simulations". Metodološki zvezki. 6 (2): 99–134.
  2. [2]
    Batagelj, Vladimir; Ferligoj, Anuška (2000). "Clustering relational data". In Gaul, W.; Opitz, O.; Schader, M. (eds.). Data Analysis. Springer Verlag. pp. 3–15.
  3. [3]
    Aleš Žiberna, Generalized blockmodeling of valued networks (pospološeno bločno modeliranje omrežij z vrednostmi na povezavah: doktorska disertacija. Ljubljana: Univerza v Ljubljani, Fakulteta za družbene vede, 2007. URL: http://www2.arnes.si/~aziber4/blockmodeling/Dissertation-final-corrected.pdf.
  4. [4]
    Žiberna, Aleš (2008). "Direct and indirect approaches to blockmodeling of valued networks in terms of regular equivalence". Journal of Mathematical Sociology. 32: 57–84.
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