Skip to main content

Learning the Hotness of Information Diffusions with Multi-dimensional Hawkes Processes

  • Conference paper
  • First Online:
Agents and Data Mining Interaction (ADMI 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8316))

Included in the following conference series:

  • 613 Accesses

Abstract

Modeling the information cascading process over networks has attracted a lot of research attention due to its wide applications in viral marketing, epidemiology and recommendation systems. In particular, information cascades can be useful for not only inferring the underlying structure of the network, but also providing insights on the properties of information itself. In this paper, we address the problem of jointly modeling the influence structure and the hotness of the information itself based on the temporal events describing the process of the information cascading. Specifically, we extend the multi-dimensional Hawkes process, which captures the mutual-excitation nature of information cascading, to further incorporate the hotness of the information being propagated. In the proposed method, the hotness of information and the network structure are modeled in a unified and principled manner, which enables them to reinforce each other and thus enhances the estimation of both. Experiments on both real and synthetic data show that our algorithm typically outperforms several existing methods and accurately estimates the hotness of information from the observed data.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 44.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    http://weibo.com/, which is the largest microblog service in China.

References

  1. Hinton, G., Salakhutdinov, R.: Discovering binary codes for documents by learning deep generative models. Top. Cogn. Sci. 3(1), 74–91 (2011)

    Article  Google Scholar 

  2. Rodriguez, M.G., Leskovec, J., Krause, A.: Inferring networks of diffusion and influence. In: Proceedings of the 16th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, no. 10, pp. 1019–1028 (2010)

    Google Scholar 

  3. Myers, S., Leskovec, J.: On the Convexity of Latent Social Network Inference. In: Collection of Advances in Neural Information Processing Systems 23, 1741–1749 (2010)

    Google Scholar 

  4. Rodriguez, M.G., Balduzzi, D., Schölkopf, B.: Uncovering the temporal dynamics of diffusion networks. In: Proceedings of ICML, pp. 561–568 (2011)

    Google Scholar 

  5. Kempe, D., Kleinberg, J., Tardos, É.: Maximizing the spread of influence through a social network. In: Proceedings of the 9th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 137–146 (2003)

    Google Scholar 

  6. Cao, L., Gorodetsky, V., Mitkas, P.: Agent mining: the synergy of agents and data mining. IEEE Intell. Syst. 24(3), 64–72 (2009)

    Article  Google Scholar 

  7. Cheong, M., Lee, V.: A study on detecting patterns in twitter intra-topic user and message clustering. In: The 2010 20th International Conference on Pattern Recognition, pp. 3125–3128 (2010)

    Google Scholar 

  8. Yanxiang, H., Wen, S., Ye, T., Qiang, C., Lu, L.: Summarizing microblogs on network hot topics. In: The 2011 International Conference on Internet Technology and Applications, pp. 1–4 (2011)

    Google Scholar 

  9. Zhang, D., Liu, Y., Lawrence, R.D., Chenthamarakshan, V.: Alpos: a machine learning approach for analyzing microblogging data. In: The 2010 IEEE International Conference on Data Mining Workshops, pp. 1265–1272 (2010)

    Google Scholar 

  10. Celikyilmaz, A., Hakkani-Tur, D., Feng, J.: Probabilistic modelbased sentiment analysis of twitter messages. In: The 2010 IEEE International Conference on Spoken Language Technology, Workshop, pp. 79–84 (2010)

    Google Scholar 

  11. Wu, Y., Ren, F.: Learning sentimental influence in twitter. In: The 2011 International Conference on Future Computer Sciences and Application, pp. 119–122 (2011)

    Google Scholar 

  12. Fan, P., Li, P., Jiang, Z., Li, W., Wang, H.: Measurement and analysis of topology and information propagation on sina-microblog. In: The 2011 IEEE International Conference on Intelligence and Security Informatics, pp. 396–401 (2011)

    Google Scholar 

  13. Suh, B., Hong, L., Pirolli, P., Chi, E.H.: Want to be retweeted? large scale analytics on factors impacting retweet in twitter network. In: The 2010 IEEE International Conference on Social Computing/IEEE International Conference on Privacy, Security, Risk and Trust, pp. 177–184 (2010)

    Google Scholar 

  14. Agrawal, R., Potamias, M., Terzi, E.: Learning the nature of information in social networks. In: Proceedings of ICWSM (2012)

    Google Scholar 

  15. Leskovec, J., Adamic, L.A., Huberman, B.A.: The dynamics of viral marketing. ACM Trans. Web 1(1) (2007)

    Google Scholar 

  16. Crandall, D., Cosley, D., Huttenlocher, D., Kleinberg, J., Suri, S.: Feedback effects between similarity and social influence in online communities. In: Proceedings of the 14th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, no. 9, pp. 160–168 (2008)

    Google Scholar 

  17. Bakshy, E., Hofman, J.M., Mason, W.A., Watts, D.J.: Everyone’s an influencer: quantifying influence on twitter. In: Proceedings of the 4th ACM International Conference on Web search and data mining, no. 10, pp. 65–74 (2011)

    Google Scholar 

  18. Gruhl, D., Guha, R., Liben-Nowell, D., Tomkins, A.: Information diffusion through blogspace. In: Proceedings of the 13th International Conference on World Wide Web, no. 11, pp. 491–501 (2004)

    Google Scholar 

  19. Leskovec, J., Backstrom, L., Kleinberg, J.: Meme-tracking and the dynamics of the news cycle. In: Proceedings of the 15th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, no. 10, pp. 497–506 (2009)

    Google Scholar 

  20. Romero, D.M., Meeder, B., Kleinberg, J.: Differences in the mechanics of information diffusion across topics: idioms, political hashtags, and complex contagion on twitter. In: Proceedings of the 20th International Conference on World Wide Web, no. 10, pp. 695–704 (2011)

    Google Scholar 

  21. Rodriguez, M.G., Schölkopf, B.: Submodular inference of diffusion networks from multiple trees. In: Proceedings of the 29th International Conference on Machine Learning (ICML-12), pp. 489–496 (2012)

    Google Scholar 

  22. Du, N., Song, L., Yuan, M., Smola, A.J.: Learning networks of heterogeneous influence. In: Collection of, Advances in Neural Information Processing Systems 25, pp. 2789–2797 (2012)

    Google Scholar 

  23. Rodriguez, M.G., Leskovec, J., Schölkopf, B.: Structure and dynamics of information pathways in online media. In: Proceedings of the 6th ACM International Conference on Web Search and Data Mining, no. 10, pp. 23–32 (2013)

    Google Scholar 

  24. Du, N., Song, L., Woo, H., Zha, H.: Uncover topic-sensitive information diffusion networks. In: Proceedings of AISTATS, pp. 229–237 (2013)

    Google Scholar 

  25. Rodriguez, M.G., Leskovec, J., Schölkopf, B.: Modeling information propagation with survival theory. CoRR (2013)

    Google Scholar 

  26. Stomakhin, A., Short, M.B., Bertozzi, A.L.: Reconstruction of missing data in social networks based on temporal patterns of interactions. Inverse Probl. 27(11), 115013 (2011)

    Article  MathSciNet  Google Scholar 

  27. Iwata, T., Shah, A., Ghahramani, Z.: Discovering Latent Influence in Online Social Activities via Shared Cascade Poisson Processes. In: Proceedings of the 19th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, no. 9, pp. 266–274 (2013)

    Google Scholar 

  28. Zhou, K., Zha, H., Song, L.: Learning triggering kernels for multi-dimensional Hawkes processes. In: Proceedings of ICML (3), no. 9, pp. 1301–1309 (2013)

    Google Scholar 

  29. Zhou, K., Zha, H., Song, L.: Learning social infectivity in sparse low-rank networks using multi-dimensional Hawkes processes. In: Proceedings of AISTATS, no. 9, pp. 641–649 (2013)

    Google Scholar 

  30. Hawkes, A.G.: Spectra of some self-exciting and mutually exciting point processes. Biometrika 58(1), 83–90 (1971)

    Article  MATH  MathSciNet  Google Scholar 

  31. Hunter, D.R., Lange, K.: A tutorial on MM algorithms. Am. Stat. 58(1), 30–37 (2004)

    Article  MathSciNet  Google Scholar 

  32. Leskovec, J., Chakrabarti, D., Kleinberg, J., Faloutsos, C., Ghahramani, Z.: Kronecker graphs: an approach to modeling networks. J. Mach. Learn. Res. 11(58), 985–1042 (2010)

    MATH  MathSciNet  Google Scholar 

  33. Erdös, P., Rényi, A.: On the evolution of random graphs. In: Proceedings of Publication of the Mathematical Institute of the Hungarian Academy of Sciences, pp. 17–61 (1960)

    Google Scholar 

  34. Clauset, A., Moore, C., Newman, M.E.J.: Hierarchical structure and the prediction of missing links in networks. Nature 453(7191), 98–101 (2008)

    Article  Google Scholar 

  35. Leskovec, J., Lang, K.J., Dasgupta, A., Mahoney, M.W.: Statistical properties of community structure in large social and information networks. In: Proceedings of the 17th International Conference on World Wide Web, pp. 695–704 (2008)

    Google Scholar 

Download references

Acknowledgments

This research was supported by National Natural Science Foundation of China (No. 61003107 and No. 61129001) and the High Technology Research and Development Program of China (No. 2012AA011702).

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Yi Wei or Ke Zhou .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wei, Y., Zhou, K., Zhang, Y., Zha, H. (2014). Learning the Hotness of Information Diffusions with Multi-dimensional Hawkes Processes. In: Cao, L., Zeng, Y., Symeonidis, A., Gorodetsky, V., Müller, J., Yu, P. (eds) Agents and Data Mining Interaction. ADMI 2013. Lecture Notes in Computer Science(), vol 8316. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55192-5_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-55192-5_8

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-55191-8

  • Online ISBN: 978-3-642-55192-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics