Abstract
Influence Maximization (IM) is an important topic in the field of social network analysis, and is widely used in viral marketing, recommendation systems, rumor prevention and other fields. The meta-heuristic method has excellent performance because of high scalability and low complexity, however, the objective function of existing meta-heuristic methods can only be applied to propagation models with small probabilities. In addition, there is room for further improvement in performance of meta-heuristic methods. In order to solve the above problems, this paper transforms the influence maximization problem into an optimization problem and designs a novel objective function based on the six degrees of separation theory of social networks. Then, with the designed objective function, this paper discretizes the harris hawks optimization (HHO) algorithm by redefining the energy and location representation rules for influence maximization problem. Experimental results on eight real datasets demonstrate that the proposed objective function exhibits high accuracy and generality, suitable for various probability propagation models. With the exploration and exploitation process in steps, dynamically using different strategies various situations, the proposed DHHO algorithm exhibits better performance in dealing with influence maximization problem, outperforming the state-of-the-art methods.
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The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.
References
Banerjee P, Chen W, Lakshmanan LV (2019) Maximizing welfare in social networks under a utility driven influence diffusion model. In: Proceedings of the 2019 international conference on management of data, 1078–1095
Domingos P, Richardson M (2001) Mining the network value of customers. In: Proceedings of the seventh ACM SIGKDD international conference on knowledge discovery and data mining, 57–66
Richardson M, Domingos P (2002) Mining knowledge-sharing sites for viral marketing. In: Proceedings of the Eighth ACM SIGKDD international conference on knowledge discovery and data mining, pp. 61–70
Liu Q, Xiang B, Chen E, Ge Y, Xiong H, Bao T, Zheng Y (2012) Influential seed items recommendation. In: Proceedings of the sixth ACM conference on recommender systems, pp 245–248
He X, Song G, Chen W, Jiang Q (2012) Influence blocking maximization in social networks under the competitive linear threshold model. In: Proceedings of the 2012 Siam international conference on data mining, pp 463–474. SIAM
Goyal A, Lu W, Lakshmanan LV (2011) Celf++ optimizing the greedy algorithm for influence maximization in social networks. In: Proceedings of the 20th international conference companion on world wide web, pp 47–48
Cheng S, Shen H, Huang J, Zhang G, Cheng X (2013) Staticgreedy: solving the scalability-accuracy dilemma in influence maximization. In: Proceedings of the 22nd ACM international conference on information & knowledge management, pp. 509–518
Heidari M, Asadpour M, Faili H (2015) Smg: fast scalable greedy algorithm for influence maximization in social networks. Physica A Statistical Mech Appl 420:124–133
Chen W, Wang Y, Yang S (2009) Efficient influence maximization in social networks. In: Proceedings of the 15th ACM SIGKDD international conference on knowledge discovery and data mining, pp 199–208
Wang X, Su Y, Zhao C, Yi D (2016) Effective identification of multiple influential spreaders by degreepunishment. Physica A: Statistical Mech Appl 461:238–247
Aghaee Z, Beni HA, Kianian S, Vahidipour M (2020) A heuristic algorithm focusing on the rich-club phenomenon for the influence maximization problem in social networks. In: 2020 6th international conference on web research (ICWR), pp 119–125. IEEE
Saxena B, Kumar P (2019) A node activity and connectivity-based model for influence maximization in social networks. Social Netw Anal Min 9(1):1–16
Li M, Wang X, Gao K, Zhang S (2017) A survey on information diffusion in online social networks: models and methods. Information 8(4):118
Rui X, Meng F, Wang Z, Yuan G (2019) A reversed node ranking approach for influence maximization in social networks. Appl Intell 49(7):2684–2698
Samadi N, Bouyer A (2019) Identifying influential spreaders based on edge ratio and neighborhood diversity measures in complex networks. Computing 101(8):1147–1175
Jiang Q, Song G, Gao C, Wang Y, Si W, Xie K (2011) Simulated annealing based influence maximization in social networks. In: Twenty-fifth AAAI conference on artificial intelligence
Gong M, Yan J, Shen B, Ma L, Cai Q (2016) Influence maximization in social networks based on discrete particle swarm optimization. Inf Sci 367:600–614
Cui L, Hu H, Yu S, Yan Q, Ming Z, Wen Z, Lu N (2018) Ddse: a novel evolutionary algorithm based on degree-descending search strategy for influence maximization in social networks. J Netw Comput Appl 103:119–130
Tang J, Zhang R, Yao Y, Zhao Z, Wang P, Li H, Yuan J (2018) Maximizing the spread of influence via the collective intelligence of discrete bat algorithm. Knowl Based Syst 160:88–103
Zareie A, Sheikhahmadi A, Jalili M (2020) Identification of influential users in social network using gray wolf optimization algorithm. Expert Syst Appl 142:112971
Tang J, Zhang R, Wang P, Zhao Z, Fan L, Liu X (2020) A discrete shuffled frog-leaping algorithm to identify influential nodes for influence maximization in social networks. Knowl Based Syst 187:104833
Li H, Zhang R, Zhao Z, Liu X, Yuan Y (2021) Identification of top-k influential nodes based on discrete crow search algorithm optimization for influence maximization. Appl Intell 51(11):7749–7765
Lotf JJ, Azgomi MA, Dishabi MRE (2022) An improved influence maximization method for social networks based on genetic algorithm. Physica A: Stat Mech Appl 586:126480
Wu J, Gao J, Zhu H, Zhang Z (2022) Budgeted influence maximization via boost simulated annealing in social networks. arXiv preprint arXiv:2203.11594
Byus LC (2009) Six degrees of separation in copenhagen. Nuclear News 52(12):44
Lawrence EE, Latha R (2015) Analysis of six degrees of separation in facebook using ant colony optimization. In: 2015 International conference on circuits, power and computing technologies [ICCPCT-2015], pp 1–5. IEEE
Heidari AA, Mirjalili S, Faris H, Aljarah I, Mafarja M, Chen H (2019) Harris hawks optimization algorithm and applications. Future Gener Comput Syst 97:849–872
Fan C, Zhou Y, Tang Z (2021) Neighborhood centroid opposite-based learning Harris hawks optimization for training neural networks. Evolut Intell 14(4):1847–1867
Saito K, Nakano R, Kimura M (2008) Prediction of information diffusion probabilities for independent cascade model. In: Knowledge-based intelligent information and engineering systems: 12th international conference, KES 2008, Zagreb, Croatia, September 3-5, 2008, Proceedings, Part III 12, pp 67–75. Springer
Guille A, Hacid H (2012) A predictive model for the temporal dynamics of information diffusion in online social networks. In: Proceedings of the 21st international conference on world wide web, pp 1145–1152
Goldenberg J, Libai B, Muller E (2001) Talk of the network: a complex systems look at the underlying process of word-of-mouth. Market Lett 12:211–223
Li Y, Fan J, Wang Y, Tan K-L (2018) Influence maximization on social graphs: a survey. IEEE Trans Knowl Data Eng 30(10):1852–1872
Arora A, Galhotra S, Ranu S (2017) Debunking the myths of influence maximization: An in-depth benchmarking study. In: Proceedings of the 2017 ACM international conference on management of data, pp 651–666
Tang Y, Shi Y, Xiao X (2015) Influence maximization in near-linear time: A martingale approach. In: Proceedings of the 2015 ACM SIGMOD international conference on management of data, pp 1539–1554 (2015)
Acknowledgements
This work was supported by the National Natural Science Foundation of China (No.61876186), the Project of Xuzhou Science and Technology (No.KC21300), the Graduate Innovation Program of China University of Mining and Technology (No.2023WLKXJ177), the Postgraduate Research & Practice Innovation Program of Jiangsu Province (No.KYCX23\(\_\)2726), and the Fundamental Research Funds for the Central Universities (No.2022QN1093).
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Fan, C., Wang, Z., Zhang, J. et al. Influence maximization in social networks based on discrete harris hawks optimization algorithm. Computing 106, 327–351 (2024). https://doi.org/10.1007/s00607-023-01207-4
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DOI: https://doi.org/10.1007/s00607-023-01207-4
Keywords
- Influence maximization
- Meta-heuristic optimization algorithm
- Six degrees of separation theory
- Harris hawks optimization algorithm