IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i23p4483-d986203.html
   My bibliography  Save this article

Monitoring Sparse and Attributed Network Streams with MultiLevel and Dynamic Structures

Author

Listed:
  • Mostafa Mostafapour

    (Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran 11369, Iran)

  • Farzad Movahedi Sobhani

    (Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran 11369, Iran)

  • Abbas Saghaei

    (Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran 11369, Iran)

Abstract

In this study, we create a new monitoring system for change detection in sparse attributed network streams with multilevel or nested dynamic structures. To achieve this, we hypothesize that the contingency of establishing an edge between two network nodes at time t depends on the properties of the network edges, network nodes, groups, or categories. Then, we estimate the model parameters using the expressed logit model. The model parameters are developed using the state-space model to achieve a dynamic state in the system. The extended Kalman filter (EKF) updates state-space parameters and predicts upcoming networks. Predicted residuals are tracked using statistical process control charts to identify changes in the underlying mechanism of edge generation. This research makes a methodological contribution by combining zero-inflated generalized linear mixed models (ZI-GLMMs) with the state-space model to monitor changes in the sequences of sparse, attributed, and weighted multilevel networks by applying control charts. The proposed model is compared to previous models to evaluate performance by implementing three scenarios. The results show that the model is faster at detecting the first change. Finally, using real e-MID data, we measured the model’s performance in detecting real data changes. The findings suggest that the proposed model could predict a crisis in advance of significant European Central Bank statements and events.

Suggested Citation

  • Mostafa Mostafapour & Farzad Movahedi Sobhani & Abbas Saghaei, 2022. "Monitoring Sparse and Attributed Network Streams with MultiLevel and Dynamic Structures," Mathematics, MDPI, vol. 10(23), pages 1-14, November.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4483-:d:986203
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/23/4483/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/10/23/4483/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. R. Mantegna, 1999. "Hierarchical structure in financial markets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 11(1), pages 193-197, September.
    2. L. Bargigli & G. di Iasio & L. Infante & F. Lillo & F. Pierobon, 2015. "The multiplex structure of interbank networks," Quantitative Finance, Taylor & Francis Journals, vol. 15(4), pages 673-691, April.
    3. Karl Finger & Daniel Fricke & Thomas Lux, 2013. "Network analysis of the e-MID overnight money market: the informational value of different aggregation levels for intrinsic dynamic processes," Computational Management Science, Springer, vol. 10(2), pages 187-211, June.
    4. Luiz Paulo Fávero & Joseph F. Hair & Rafael de Freitas Souza & Matheus Albergaria & Talles V. Brugni, 2021. "Zero-Inflated Generalized Linear Mixed Models: A Better Way to Understand Data Relationships," Mathematics, MDPI, vol. 9(10), pages 1-28, May.
    5. Brennecke, Julia & Rank, Olaf, 2017. "The firm’s knowledge network and the transfer of advice among corporate inventors—A multilevel network study," Research Policy, Elsevier, vol. 46(4), pages 768-783.
    6. Samaneh Ebrahimi & Mostafa Reisi-Gahrooei & Kamran Paynabar & Shawn Mankad, 2021. "Monitoring sparse and attributed networks with online Hurdle models," IISE Transactions, Taylor & Francis Journals, vol. 54(1), pages 91-104, October.
    7. Brunetti, Celso & Harris, Jeffrey H. & Mankad, Shawn & Michailidis, George, 2019. "Interconnectedness in the interbank market," Journal of Financial Economics, Elsevier, vol. 133(2), pages 520-538.
    8. Matthias Trier, 2008. "Research Note ---Towards Dynamic Visualization for Understanding Evolution of Digital Communication Networks," Information Systems Research, INFORMS, vol. 19(3), pages 335-350, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wang, Gang-Jin & Chen, Yang-Yang & Si, Hui-Bin & Xie, Chi & Chevallier, Julien, 2021. "Multilayer information spillover networks analysis of China’s financial institutions based on variance decompositions," International Review of Economics & Finance, Elsevier, vol. 73(C), pages 325-347.
    2. Marco Bardoscia & Paolo Barucca & Stefano Battiston & Fabio Caccioli & Giulio Cimini & Diego Garlaschelli & Fabio Saracco & Tiziano Squartini & Guido Caldarelli, 2021. "The Physics of Financial Networks," Papers 2103.05623, arXiv.org.
    3. 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).
    4. Qian, Biyu & Wang, Gang-Jin & Feng, Yusen & Xie, Chi, 2022. "Partial cross-quantilogram networks: Measuring quantile connectedness of financial institutions," The North American Journal of Economics and Finance, Elsevier, vol. 60(C).
    5. Domenico Di Gangi & Giacomo Bormetti & Fabrizio Lillo, 2022. "Score Driven Generalized Fitness Model for Sparse and Weighted Temporal Networks," Papers 2202.09854, arXiv.org, revised Mar 2022.
    6. Wang, Gang-Jin & Wan, Li & Feng, Yusen & Xie, Chi & Uddin, Gazi Salah & Zhu, You, 2023. "Interconnected multilayer networks: Quantifying connectedness among global stock and foreign exchange markets," International Review of Financial Analysis, Elsevier, vol. 86(C).
    7. Alessandro Ferracci & Giulio Cimini, 2021. "Systemic risk in interbank networks: disentangling balance sheets and network effects," Papers 2109.14360, arXiv.org, revised Sep 2022.
    8. Carlos León & Javier Miguélez, 2020. "Interbank relationship lending in Colombia," Borradores de Economia 1118, Banco de la Republica de Colombia.
    9. Carlos León & Geun-Young Kim & Constanza Martínez & Daeyup Lee, 2017. "Equity markets’ clustering and the global financial crisis," Quantitative Finance, Taylor & Francis Journals, vol. 17(12), pages 1905-1922, December.
    10. 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.
    11. Ling, Yu-Xiu & Xie, Chi & Wang, Gang-Jin, 2022. "Interconnectedness between convertible bonds and underlying stocks in the Chinese capital market: A multilayer network perspective," Emerging Markets Review, Elsevier, vol. 52(C).
    12. 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.
    13. Morteza Alaeddini & Philippe Madiès & Paul J. Reaidy & Julie Dugdale, 2023. "Interbank money market concerns and actors’ strategies—A systematic review of 21st century literature," Journal of Economic Surveys, Wiley Blackwell, vol. 37(2), pages 573-654, April.
    14. Iori, Giulia & Mantegna, Rosario N. & Marotta, Luca & Miccichè, Salvatore & Porter, James & Tumminello, Michele, 2015. "Networked relationships in the e-MID interbank market: A trading model with memory," Journal of Economic Dynamics and Control, Elsevier, vol. 50(C), pages 98-116.
    15. Jean-Baptiste Hasse, 2022. "Systemic risk: a network approach," Empirical Economics, Springer, vol. 63(1), pages 313-344, July.
    16. Chen, Yanhua & Li, Youwei & Pantelous, Athanasios A. & Stanley, H. Eugene, 2022. "Short-run disequilibrium adjustment and long-run equilibrium in the international stock markets: A network-based approach," International Review of Financial Analysis, Elsevier, vol. 79(C).
    17. Nadine Walters & Gusti Van Zyl & Conrad Beyers, 2019. "Financial Contagion In Large, Inhomogeneous Stochastic Interbank Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 22(02), pages 1-26, March.
    18. Brunetti, Celso & Harris, Jeffrey H. & Mankad, Shawn, 2023. "Networks, interconnectedness, and interbank information asymmetry," Journal of Financial Stability, Elsevier, vol. 67(C).
    19. Edoardo Gaffeo & Massimo Molinari, 2018. "A functional perspective on financial networks," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 13(1), pages 51-79, April.
    20. Brunetti, Celso & Harris, Jeffrey H. & Mankad, Shawn, 2022. "Sidedness in the interbank market," Journal of Financial Markets, Elsevier, vol. 59(PA).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4483-:d:986203. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.