skip to main content
10.1145/3132847.3132883acmconferencesArticle/Chapter ViewAbstractPublication PagescikmConference Proceedingsconference-collections
research-article

FM-Hawkes: A Hawkes Process Based Approach for Modeling Online Activity Correlations

Authors Info & Claims
Published:06 November 2017Publication History

ABSTRACT

Understanding and predicting user behavior on online platforms has proved to be of significant value, with applications spanning from targeted advertising, political campaigning, anomaly detection to user self-monitoring. With the growing functionality and flexibility of online platforms, users can now accomplish a variety of tasks online. This advancement has rendered many previous works that focus on modeling a single type of activity obsolete. In this work, we target this new problem by modeling the interplay between the time series of different types of activities and apply our model to predict future user behavior. Our model, FM-Hawkes, stands for Fourier-based kernel multi-dimensional Hawkes process. Specifically, we model the multiple activity time series as a multi-dimensional Hawkes process. The correlations between different types of activities are then captured by the influence factor. As for the temporal triggering kernel, we observe that the intensity function consists of numerous kernel functions with time shift. Thus, we employ a Fourier transformation based non-parametric estimation. Our model is not bound to any particular platform and explicitly interprets the causal relationship between actions. By applying our model to real-life datasets, we confirm that the mutual excitation effect between different activities prevails among users. Prediction results show our superiority over models that do not consider action types and flexible kernels

References

  1. Emmanuel Bacry, Khalil Dayri, and Jean-François Muzy. 2012. Non-parametric kernel estimation for symmetric Hawkes processes. Application to high frequency fnancial data. EPJ B 85, 5 (2012), 1--12.Google ScholarGoogle ScholarCross RefCross Ref
  2. Peng Bao. 2016. Modeling and Predicting Popularity Dynamics via an Infuencebased Self-Excited Hawkes Process. In CIKM. ACM, 1897--1900. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. Ye Chen, Dmitry Pavlov, and John F. Canny. 2009. Large-scale behavioral targeting. In KDD. 209--218. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. Alceu Ferraz Costa, Agma Juci Machado Traina, Caetano Traina Jr., and Christos Faloutsos. 2016. Vote-and-Comment: Modeling the Coevolution of User Interactions in Social Voting Web Sites. In ICDM. 91--100.Google ScholarGoogle Scholar
  5. Alceu Ferraz Costa, Yuto Yamaguchi, Agma J. M. Traina, Caetano Traina, and Christos Faloutsos. 2015. RSC: Mining and Modeling Temporal Activity in Social Media. In KDD. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. Rodrigo Augusto da Silva Alves, Renato Martins Assunğão, and Pedro O. S. Vaz de Melo. 2016. Burstiness Scale: A Parsimonious Model for Characterizing Random Series of Events. In KDD.Google ScholarGoogle Scholar
  7. A.S.C. Ehrenberg. 1959. The pattern of consumer purchases. Applied Statistics 8(1) (1959), 26--41.Google ScholarGoogle Scholar
  8. Michael Eichler, Rainer Dahlhaus, and Johannes Dueck. 2016. Graphical modeling for multivariate hawkes processes with nonparametric link functions. J. Time Ser. Anal. (2016).Google ScholarGoogle Scholar
  9. Mehrdad Farajtabar, Yichen Wang, Manuel Gomez-Rodriguez, Shuang Li, Hongyuan Zha, and Le Song. 2015. COEVOLVE: A Joint Point Process Model for Information Difusion and Network Co-evolution. In NIPS. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. Scott A. Golder, Dennis M. Wilkinson, and Bernardo A. Huberman. 2007. Rhythms of social interaction: messaging within a massive online network. C&T (2007), 41--66.Google ScholarGoogle Scholar
  11. Niels Richard Hansen, Patricia Reynaud-Bouret, Vincent Rivoirard, et al. 2015. Lasso and probabilistic inequalities for multivariate point processes. Bernoulli 21, 1 (2015), 83--143.Google ScholarGoogle ScholarCross RefCross Ref
  12. Stephen Hardiman, Nicolas Bercot, and Jean-Philippe Bouchaud. 2013. Critical refexivity in fnancial markets: a Hawkes process analysis. (2013).Google ScholarGoogle Scholar
  13. Alan G Hawkes. 1971. Spectra of some self-exciting and mutually exciting point processes. Biometrika (1971), 83--90.Google ScholarGoogle Scholar
  14. Hideaki Kim, Noriko Takaya, and Hiroshi Sawada. 2014. Tracking Temporal Dynamics of Purchase Decisions via Hierarchical Time-Rescaling Model. In CIKM. 1389--1398. Google ScholarGoogle ScholarDigital LibraryDigital Library
  15. Remi Lemonnier and Nicolas Vayatis. 2014. Nonparametric markovian learning of triggering kernels for mutually exciting and mutually inhibiting multivariate hawkes processes. In ECML PKDD. 161--176. Google ScholarGoogle ScholarDigital LibraryDigital Library
  16. Erik Lewis, George Mohler, P Jefrey Brantingham, and Andrea L Bertozzi. 2012. Self-exciting point process models of civilian deaths in Iraq. Security Journal 25, 3 (2012), 244--264.Google ScholarGoogle ScholarCross RefCross Ref
  17. Michal Lukasik, P. K. Srijith, Duy Vu, Kalina Bontcheva, Arkaitz Zubiaga, and Trevor Cohn. 2016. Hawkes Processes for Continuous Time Sequence Classifcation: an Application to Rumour Stance Classifcation in Twitter. In ACL (2). The Association for Computer Linguistics.Google ScholarGoogle Scholar
  18. Dixin Luo, Hongteng Xu, Yi Zhen, Xia Ning, Hongyuan Zha, Xiaokang Yang, and Wenjun Zhang. 2015. Multi-task multi-dimensional hawkes processes for modeling event sequences. In IJCAI. 3685--3691. Google ScholarGoogle ScholarDigital LibraryDigital Library
  19. R. Dean Malmgren, Jake M. Hofman, Luis A. Nunes Amaral, and Duncan J. Watts. 2009. Characterizing individual communication patterns. In KDD. Google ScholarGoogle ScholarDigital LibraryDigital Library
  20. David Marsan and Olivier Lengline. 2008. Extending earthquakes' reach through cascading. Science 319, 5866 (2008), 1076--1079.Google ScholarGoogle Scholar
  21. Swapnil Mishra, Marian-Andrei Rizoiu, and Lexing Xie. 2016. Feature Driven and Point Process Approaches for Popularity Prediction. In CIKM. ACM, 1069--1078. Google ScholarGoogle ScholarDigital LibraryDigital Library
  22. Yosihiko Ogata. 1981. On Lewis' simulation method for point processes. IEEE Transactions on Information Theory 27, 1 (1981), 23--31. Google ScholarGoogle ScholarDigital LibraryDigital Library
  23. Sarah Masud Preum, John A. Stankovic, and Yanjun Qi. 2015. MAPer: A Multiscale Adaptive Personalized Model for Temporal Human Behavior Prediction. In CIKM. 433--442. Google ScholarGoogle ScholarDigital LibraryDigital Library
  24. Marian-Andrei Rizoiu, Lexing Xie, Scott Sanner, Manuel Cebrián, Honglin Yu, and Pascal Van Hentenryck. 2017. Expecting to be HIP: Hawkes Intensity Processes for Social Media Popularity. In WWW. ACM, 735--744. Google ScholarGoogle ScholarDigital LibraryDigital Library
  25. Hongteng Xu, Mehrdad Farajtabar, and Hongyuan Zha. 2016. Learning Granger Causality for Hawkes Processes. In ICML, Vol. 48. 1717--1726. Google ScholarGoogle ScholarDigital LibraryDigital Library
  26. Qingyuan Zhao, Murat A. Erdogdu, Hera Y. He, Anand Rajaraman, and Jure Leskovec. 2015. SEISMIC: A Self-Exciting Point Process Model for Predicting Tweet Popularity. In KDD. ACM, 1513--1522. Google ScholarGoogle ScholarDigital LibraryDigital Library
  27. Ke Zhou, Hongyuan Zha, and Le Song. 2013. Learning Triggering Kernels for Multi-dimensional Hawkes Processes. In ICML. Google ScholarGoogle ScholarDigital LibraryDigital Library
  28. Yin Zhu, Erheng Zhong, Sinno Jialin Pan, Xiao Wang, Minzhe Zhou, and Qiang Yang. 2013. Predicting user activity level in social networks. In CIKM. 159--168. Google ScholarGoogle ScholarDigital LibraryDigital Library

Index Terms

  1. FM-Hawkes: A Hawkes Process Based Approach for Modeling Online Activity Correlations

        Recommendations

        Comments

        Login options

        Check if you have access through your login credentials or your institution to get full access on this article.

        Sign in
        • Published in

          cover image ACM Conferences
          CIKM '17: Proceedings of the 2017 ACM on Conference on Information and Knowledge Management
          November 2017
          2604 pages
          ISBN:9781450349185
          DOI:10.1145/3132847

          Copyright © 2017 ACM

          Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

          Publisher

          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 6 November 2017

          Permissions

          Request permissions about this article.

          Request Permissions

          Check for updates

          Qualifiers

          • research-article

          Acceptance Rates

          CIKM '17 Paper Acceptance Rate171of855submissions,20%Overall Acceptance Rate1,861of8,427submissions,22%

          Upcoming Conference

        PDF Format

        View or Download as a PDF file.

        PDF

        eReader

        View online with eReader.

        eReader