Abstract
Source localization is a typical inverse problem in complex networks, which is widely used in disease outbreak, rumor propagation and pollutants spread. In this paper, we propose that, based on network topology and the times at which the diffusion reached partial nodes, it is easy to identify the source. The results show that in six different networks, although the number of observers is small, the precision of source localization can be high. Precision increases with network size increasing and source number decreasing. Furthermore, our method makes the sources localization precision very robust, not only with the condition of three different given observers selection strategies, but with three various intensity noise on the diffusion path.
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Altmann, M.: Susceptible-infected-removed epidemic models with dynamic partnerships. J. Math. Biol. 33(6), 661–675 (1995). https://doi.org/10.1007/bf00298647
Shah, D., Zaman, T.R.: Rumors in a network: who’s the culprit? IEEE Trans. Inf. Theory 57(8), 5163–5181 (2011). https://doi.org/10.1109/TIT.2011.2158885
Pinto, P.C., Thiran, P., Vetterli, M.: Locating the source of diffusion in large-scale networks. Phys. Rev. Lett. 109(6), 068702–068705 (2012). https://doi.org/10.1103/physrevlett.109.068702
Huang, Q., et al.: Locating the source of spreading in temporal networks. Physica A: Stat. Mech. Appl. 468(C), 434–444 (2016). https://doi.org/10.1016/j.physa.2016.10.081
Li, X., Wang, X., Zhao, C.: Locating the source of diffusion in complex networks via Gaussian-based localization and deduction. Appl. Sci. 9, 3758 (2019). https://doi.org/10.3390/app9183758
Li, X., Wang, X., Zhao, C.: Locating the epidemic source in complex networks with sparse observers. Appl. Sci. 9, 3644 (2019). https://doi.org/10.3390/app9183644
Nguyen, H.T. , et al.: Multiple infection sources identification with provable guarantees. In: The 25th ACM International. ACM (2016). https://doi.org/10.1145/2983323.2983817
Altarelli, F., et al.: Bayesian inference of epidemics on networks via belief propagation. Phys. Rev. Lett. 112(11), 118701 (2013). https://doi.org/10.1103/PhysRevLett.112.118701
Luo, W., Tay, W.P., Leng, M.: Identifying infection sources and regions in large networks. IEEE Trans. Sig. Process. 61(11), 2850–2865 (2013). https://doi.org/10.1109/tsp.2013.2256902
Zang, W., et al.: Discovering multiple diffusion source nodes in social networks. Procedia Comput. Sci. 29, 443–452 (2014). https://doi.org/10.1016/j.procs.2014.05.040
Zhu, K., Chen, Z., Ying, L.: Catch’Em all: locating multiple diffusion sources in networks with partial observations (2016)
Fu, L., et al.: Multi-source localization on complex networks with limited observers. EPL (Europhys. Lett.) 113(1), 18006 (2016). https://doi.org/10.1209/0295-5075/113/18006
Hu, Z.L., Shen, Z., Cao, S.: Locating multiple diffusion sources in time varying networks from sparse observations. Sci. Rep. 8(1) (2018). https://doi.org/10.1038/s41598-018-20033-9
Hu, Z.L., et al.: Localization of diffusion sources in complex networks with sparse observations. Phys. Lett. A 382, 931–937 (2018). https://doi.org/10.1016/j.physleta.2018.01.037
Acknowledgments
This work is partially supported by the National Key R&D Program of China (Grant No. 2017YCF1200301), the Postgraduate Innovation Fund of Hunan Province (Grant No. CX2015B010), and the Postgraduate Innovation Fund of the National University of Defense Technology (Grant No. B150203).
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Li, X., Wang, X., Zhao, C., Zhang, X., Yi, D. (2020). Optimal Identification of Multiple Diffusion Sources in Complex Networks with Partial Observations. In: Liu, Y., Wang, L., Zhao, L., Yu, Z. (eds) Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery. ICNC-FSKD 2019. Advances in Intelligent Systems and Computing, vol 1074. Springer, Cham. https://doi.org/10.1007/978-3-030-32456-8_23
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DOI: https://doi.org/10.1007/978-3-030-32456-8_23
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