Abstract
Trying to solve the problem of weight information disclosure in weighted social network, a privacy preserving data publishing method named DWT-DP is proposed in the paper. After partitioning the social network into multiple communities by using Louvain algorithm, the DWT-DP method designs an adaptive allocation strategy for privacy budget based on modularity, to extend the life cycle of privacy budget and reduce the amount of injected noise. For each community, diffusion wavelets transform (DWT) is performed and Laplace noise is added to the corresponding DW tree. The DWT-DP method also presents a community re-connection algorithm to connect perturbed communities with certain probability for synthesizing a complete social network. Experimental results on two real datasets show that the proposed method achieves good data utility in condition of preserving sensitive weight information.







Similar content being viewed by others
Explore related subjects
Discover the latest articles and news from researchers in related subjects, suggested using machine learning.References
Abawajy JH, Ninggal MIH, Herawan T (2016) Privacy preserving social network data publication. IEEE Communications Surveys & Tutorials 18(3):1974–1997
Ahmed F, Liu AX, Jin R (2016) Social graph publishing with privacy guarantees. In: 2016 IEEE 36th International Conference on Distributed Computing Systems (ICDCS). IEEE
Barrat A, Barthelemy M, Pastor-Satorras R, Vespignani A (2004) The architecture of complex weighted networks. Proc Natl Acad Sci 101(11):3747–3752
Blondel VD (2008) Et al. "fast unfolding of communities in large networks.". Journal of Statistical Mechanics: Theory and Experiment 2008(10):P10008
Coifman RR, Maggioni M (2006) Diffusion wavelets. Appl Comput Harmon Anal 21(1):53–94
Day W-Y, Li N, Lyu M (2016) Publishing graph degree distribution with node differential privacy. In: Proceedings of the 2016 International Conference on Management of Data
Dwork C (2006) Differential privacy. In: International Colloquium on Automata, Languages, and Programming. Springer, Berlin, Heidelberg
Dwork C et al (2006) Calibrating noise to sensitivity in private data analysis. In: Theory of cryptography conference. Springer, Berlin, Heidelberg
Jorgensen Z, Yu T, Cormode G (2016) Publishing attributed social graphs with formal privacy guarantees. In: Proceedings of the 2016 international conference on management of data
Knuth DE (1993) The Stanford GraphBase: a platform for combinatorial computing, vol 1. AcM Press, New York
Lan L-h, Shi-guang JU (2015) Privacy preserving based on differential privacy for weighted social networks. J Commun 36(9):145
Li X et al (2017) Differential privacy for edge weights in social networks. In: Security and Communication Networks 2017
Liu Q, Wang G, Li F, Yang S, Wu J (2016) Preserving privacy with probabilistic indistinguishability in weighted social networks. IEEE Transactions on Parallel and Distributed Systems 28(5):1417–1429
Liu P, Xu YX, Jiang Q, Tang Y, Guo Y, Wang L-e, Li X (2020) Local differential privacy for social network publishing. Neurocomputing 391:273–279
McSherry FD (2009) Privacy integrated queries: an extensible platform for privacy-preserving data analysis. In: Proceedings of the 2009 ACM SIGMOD International Conference on Management of data
Mehta BB, Rao UP (2017) Privacy preserving big data publishing: a scalable k-anonymization approach using MapReduce. IET Softw 11(5):271–276
Newman, Mark EJ. "Analysis of weighted networks." Phys Rev E 70. 5 (2004): 056131.
Skarkala ME et al (2012) Privacy preservation by k-anonymization of weighted social networks. In: 2012 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining. IEEE
Sun T, Tian H (2014) Anomaly detection by diffusion wavelet-based analysis on traffic matrix. In: 2014 Sixth International Symposium on Parallel Architectures, Algorithms and Programming. IEEE
Tian H, Liu J, Shen H (2018) Diffusion wavelet-based privacy preserving in social networks. In: Diffusion Wavelet-based Privacy Preserving in social networks
Wang Q, Zhang Y, Lu X, Wang Z, Qin Z, Ren K (2016) Real-time and spatio-temporal crowd-sourced social network data publishing with differential privacy. IEEE Transactions on Dependable and Secure Computing 15(4):591–606
Watts DJ, Strogatz SH (1998) Collective dynamics of ‘small-world’networks. Nature 393(6684):440–442
Wei J, Lin Y, Yao X, Sandor VKA (2019) Differential privacy-based trajectory community recommendation in social network. Journal of Parallel and Distributed Computing 133:136–148
Zhang X, Zhou Q, Chunhua G (2017) Published weighted social networks privacy preservation based on community division. In: Proceedings of the 2017 the 7th International Conference on Communication and Network Security
Zheng X, Luo G, Cai Z (2018) A fair mechanism for private data publication in online social networks. IEEE Trans Netw Sci Eng 7(2):880–891
Acknowledgments
This work is supported by the Fundamental Research Funds for the Central Universities (No. GK201906009), CERNET Innovation Project (No. NGII20190704), Science and Technology Program of Xi’an City (No. 2019216914GXRC005CG006-GXYD5.2), Key Research and Development Program of Shaanxi Province (No. 2021GY-090).
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
Conflict of interest
The authors declare that they have no conflicts of interest to report regarding the present study.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Lei, H., Li, S. & Wang, H. A weighted social network publishing method based on diffusion wavelets transform and differential privacy. Multimed Tools Appl 81, 20311–20328 (2022). https://doi.org/10.1007/s11042-022-12726-1
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11042-022-12726-1