Abstract
The big break in data collection tools of large-scale networks from biological, social, and technological domains expands the challenge of their visualization and processing. Numerous structural and statistical backbone extraction techniques aim to reduce the network’s size while preserving its gist. Here, we perform an experimental comparison of seven main statistical methods in an air transportation case study. Correlations analysis shows that Marginal Likelihood Filter (MLF), Locally Adaptive Network Sparsification Filter (LANS), and Disparity Filter are biased toward high weighted edges. We compare the extracted backbones using four indicators: the size of the largest component, the number of nodes, edges, and the total weight. Results show that techniques based on a binomial distribution null model (MLF and Noise Corrected Filter) tend to retain many edges. Conversely, Disparity Filter, Polya Urn Filter, LANS Filter, and Global Statistical Significance Filter (GLOSS) are pretty aggressive in filtering edges. The ECM Filter lies between these two behaviors. These results may guide users in selecting appropriate techniques for their applications.
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References
Vespignani, A.: Twenty years of network science (2018)
Rital, S., Bretto, A., Cherifi, H., Aboutajdine, D.: A combinatorial edge detection algorithm on noisy images. In: International Symposium on VIPromCom Video/Image Processing and Multimedia Communications, pp. 351–355. IEEE (2002)
Messadi, M., Cherifi, H., Bessaid, A.: Segmentation and abcd rule extraction for skin tumors classification (2021). arXiv:2106.04372
Lasfar, A., Mouline, S., Aboutajdine, D., Cherifi, H.: Content-based retrieval in fractal coded image databases. In: Proceedings 15th International Conference on Pattern Recognition. ICPR-2000, vol. 1, pp. 1031–1034. IEEE (2000)
Pastrana-Vidal, R.R., Gicquel, J.-C., Colomes, C., Cherifi, H.: Frame dropping effects on user quality perception. In: Proceedings of 5th International WIAMIS (2004)
Fortunato, S., Hric, D.: Community detection in networks: a user guide. Community detection in networks: a user guide. Phys. Rep. 659, 1–44 (2016)
Cherifi, H., Palla, G., Szymanski, B.K., Lu, X.: On community structure in complex networks: challenges and opportunities. Appl. Netw. Sci. 4(1), 1–35 (2019)
Ibnoulouafi, A., El Haziti, M., Cherifi, H.: M-centrality: identifying key nodes based on global position and local degree variation. J. Stat. Mech. Theory Exp. (7), 073407 (2018)
Kumar, M., Singh, A., Cherifi, H.: An efficient immunization strategy using overlapping nodes and its neighborhoods. Companion Proc. Web Conf. 2018, 1269–1275 (2018)
Chakraborty, D., Singh, A., Cherifi, H.: Immunization strategies based on the overlapping nodes in networks with community structure. In: International Conference on Computational Social Networks, pp. 62–73. Springer, Cham (2016)
Orman, K., Labatut, V., Cherifi, H.: An empirical study of the relation between community structure and transitivity. In: Complex Networks, pp. 99–110. Springer, Berlin, Heidelberg (2013)
Orman, G.K., Labatut, V., Cherifi, H.: Towards realistic artificial benchmark for community detection algorithms evaluation (2013). arXiv:1308.0577
Barrat, A., Barthélemy, M., Pastor-Satorras, R., Vespignani, A.: The architecture of complex weighted networks. Proc. Nat. Acad. Sci. 101(11), 3747–3752 (2004)
Grady, D., Thiemann, C., Brockmann, D.: Robust classification of salient links in complex networks. Nat. Commun. 3, 864 (2012)
Simas, T., Correia, R.T., Rocha, L.M.: The distance backbone of complex networks. J. Complex Netw. 9 (2021)
Rajeh, S., Savonnet, M., Leclercq, E., Cherifi, H.: Modularity-based backbone extraction in weighted complex networks (2022)
Ghalmane, Z., Cherifi, C., Cherifi, H., El Hassouni, M.: Extracting backbones in weighted modular complex networks. Sci. Rep. 11, 12 (2021)
Ghalmane, Z., Cherifi, C., Cherifi, H., El Hassouni, M.: Extracting modular-based backbones in weighted networks. Inf. Sci. 576, 454–474 (2021)
Serrano, M.A., Boguna, M., Vespignani, A.: Extracting the multiscale backbone of complex weighted networks. Proc. Nat. Acad. Sci. 106, 6483–6488 (2009)
Marcaccioli, R., Livan, G.: A pólya urn approach to information filtering in complex networks. Nat. Commun. 10, 745 (2019)
Dianati, N.: Unwinding the hairball graph: Pruning algorithms for weighted complex networks. Phys. Rev. E 93 (2016)
Coscia, M., Neffke, F.M.H.: Network backboning with noisy data, pp. 425–436. IEEE (2017)
Gemmetto, V., Cardillo, A., Garlaschelli, D.: Irreducible network backbones: unbiased graph filtering via maximum entropy (2017)
Radicchi, F., Ramasco, J.J., Fortunato, S.: Information filtering in complex weighted networks. Phys. Rev. E 83, 046101 (2011)
Foti, N.J., Hughes, J.M., Rockmore, D.N.: Nonparametric sparsification of complex multiscale networks. PLoS ONE 6, e16431 (2011)
Dai, L., Derudder, B., Liu, X.: Transport network backbone extraction: a comparison of techniques. J. Transp. Geogr. 69, 271–281 (2018)
Dai, L., Derudder, B., Liu, X.: The evolving structure of the southeast Asian air transport network through the lens of complex networks, 1979–2012. J. Transp. Geogr. 68, 04 (2018)
Alvarez-Hamelin, J., Dall’Asta, L., Barrat, A., Vespignani, A.: Large scale networks fingerprinting and visualization using the k-core decomposition, 18, 11 (2005)
J Jr. On the shortest spanning subtree of a graph and the traveling salesman problem. Proc. Am. Math. Soc. 7, 48–50 (1956)
Nystuen, J., Dacey, M.: A graph theory interpretation of nodal regions. Papers Region. Sci. Assoc. 7, 01 (2005)
Rushton, G., Haggett, P., Cliff, A., Frey, A.: Locational analysis in human geography. Geogr. Rev. 70, 112 (1980)
Neal, Z.P., Domagalski, R., Sagan, B.: Comparing models for extracting the backbone of bipartite projections (2021)
Zweig, K., Kaufmann, M.: A systematic approach to the one-mode projection of bipartite graphs. Social Netw. Analys. Mining 1, 187–218 (2011)
Saracco, F., Straka, M., Clemente, R.D., Gabrielli, A., Caldarelli, G., Squartini, T.: Inferring monopartite projections of bipartite networks: an entropy-based approach. New J. Phys. 19, 053022 (2017)
Tumminello, M., Micciche, S., Lillo, F., Piilo, J., Mantegna, R.: Statistically validated networks in bipartite complex systems. PloS One 6, e17994 (2011)
Ducruet, C., Rozenblat, C., Zaidi, F.: Ports in multi-level maritime networks: evidence from the Atlantic (1996–2006). J. Transp. Geogr. 18, 508–518 (2010)
O’Kelly, M.: Global airline networks: comparative nodal access measures. Spatial Econ. Anal. pp. 1–23 (2016)
Liu, X., Derudder, B., Kang, W.: Measuring polycentric urban development in china: an intercity transportation network perspective. Region. Stud. 50, 03 (2015)
Haigh, J.: Polya urn models. J. R. Stat. Soc. Ser. A 172, 942 (2009)
Alves, L., Aleta, A., Rodrigues, F., Moreno, Y., Amaral, L.: Centrality anomalies in complex networks as a result of model over-simplification. New J. Phys. 22, 01 (2020)
Diop, I.M., Cherifi, C., Diallo, C., Cherifi, H.: Revealing the component structure of the world air transportation network. Appl. Netw. Sci. 6(1), 1–50 (2021)
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This material is based upon work supported by the Agence Nationale de Recherche under grant ANR-20-CE23-0002.
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Yassin, A., Cherifi, H., Seba, H., Togni, O. (2023). Air Transport Network: A Comparison of Statistical Backbone Filtering Techniques. In: Cherifi, H., Mantegna, R.N., Rocha, L.M., Cherifi, C., Micciche, S. (eds) Complex Networks and Their Applications XI. COMPLEX NETWORKS 2016 2022. Studies in Computational Intelligence, vol 1078. Springer, Cham. https://doi.org/10.1007/978-3-031-21131-7_43
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