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Disentangling bipartite and core-periphery structure in financial networks

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  • Barucca, Paolo
  • Lillo, Fabrizio

Abstract

A growing number of systems are represented as networks whose architecture conveys significant information and determines many of their properties. Examples of network architecture include modular, bipartite, and core-periphery structures. However inferring the network structure is a non trivial task and can depend sometimes on the chosen null model. Here we propose a method for classifying network structures and ranking its nodes in a statistically well-grounded fashion. The method is based on the use of Belief Propagation for learning through Entropy Maximization on both the Stochastic Block Model (SBM) and the degree-corrected Stochastic Block Model (dcSBM). As a specific application we show how the combined use of the two ensembles—SBM and dcSBM—allows to disentangle the bipartite and the core-periphery structure in the case of the e-MID interbank network. Specifically we find that, taking into account the degree, this interbank network is better described by a bipartite structure, while using the SBM the core-periphery structure emerges only when data are aggregated for more than a week.

Suggested Citation

  • Barucca, Paolo & Lillo, Fabrizio, 2016. "Disentangling bipartite and core-periphery structure in financial networks," Chaos, Solitons & Fractals, Elsevier, vol. 88(C), pages 244-253.
    • Handle: RePEc:eee:chsofr:v:88:y:2016:i:c:p:244-253
    DOI: 10.1016/j.chaos.2016.02.004
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    Cited by:

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    11. Yanquen, Eduardo & Livan, Giacomo & Montañez-Enriquez, Ricardo & Martinez-Jaramillo, Serafin, 2022. "Measuring systemic risk for bank credit networks: A multilayer approach," Latin American Journal of Central Banking (previously Monetaria), Elsevier, vol. 3(2).
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    14. Téllez-León, Isela-Elizabeth & Martínez-Jaramillo, Serafín & O. L. Escobar-Farfán, Luis & Hochreiter, Ronald, 2021. "How are network centrality metrics related to interest rates in the Mexican secured and unsecured interbank markets?," Journal of Financial Stability, Elsevier, vol. 55(C).
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    16. Marnix Van Soom & Milan Van Den Heuvel & Jan Ryckebusch & Koen Schoors, 2019. "Loan Maturity Aggregation In Interbank Lending Networks Obscures Mesoscale Structure And Economic Functions," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 19/952, Ghent University, Faculty of Economics and Business Administration.
    17. Teruyoshi Kobayashi & Anna Sapienza & Emilio Ferrara, 2018. "Extracting the multi-timescale activity patterns of online financial markets," Papers 1802.07405, arXiv.org, revised Apr 2018.
    18. Fabio Caccioli & Paolo Barucca & Teruyoshi Kobayashi, 2018. "Network models of financial systemic risk: a review," Journal of Computational Social Science, Springer, vol. 1(1), pages 81-114, January.
    19. Chen, Lei & Kou, Yingxin & Li, Zhanwu & Xu, An & Chang, Yizhe, 2018. "Relationships between Perron–Frobenius eigenvalue and measurements of loops in networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 153-163.
    20. Sadamori Kojaku & Giulio Cimini & Guido Caldarelli & Naoki Masuda, 2018. "Structural changes in the interbank market across the financial crisis from multiple core-periphery analysis," Papers 1802.05139, arXiv.org.
    21. Tiziano Squartini & Guido Caldarelli & Giulio Cimini & Andrea Gabrielli & Diego Garlaschelli, 2018. "Reconstruction methods for networks: the case of economic and financial systems," Papers 1806.06941, arXiv.org.
    22. Li, Jiang-Cheng & Leng, Na & Zhong, Guang-Yan & Wei, Yu & Peng, Jia-Sheng, 2020. "Safe marginal time of crude oil price via escape problem of econophysics," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    23. Thorben Funke & Till Becker, 2019. "Stochastic block models: A comparison of variants and inference methods," PLOS ONE, Public Library of Science, vol. 14(4), pages 1-40, April.
    24. Adão, Luiz F.S. & Silveira, Douglas & Ely, Regis A. & Cajueiro, Daniel O., 2022. "The impacts of interest rates on banks’ loan portfolio risk-taking," Journal of Economic Dynamics and Control, Elsevier, vol. 144(C).

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