Modelling reciprocating relationships with Hawkes processes

Advances in Neural Information Processing Systems

Volumn 4, Issue , 2012, Pages 2600-2608

  Blundell, Charles ^a   Heller, Katherine A ^b   Beck, Jeffrey M ^c  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

^b DUKE UNIVERSITY   (United States)

^c UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DOUBLY STOCHASTIC; INFINITE RELATIONAL MODELS; MILITARY CONFLICTS; NON-PARAMETRIC MODEL; PROCESS-BASED MODELS; SOCIAL NETWORKS; SOCIAL STRUCTURE; TIME-SERIES DATA;

POISSON DISTRIBUTION;

STOCHASTIC MODELS;

EID: 84877732166     PISSN: 10495258     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (24)

1. Charles Kemp, Joshua B. Tenenbaum, Thomas L. Griffiths, Takeshi Yamada, and Naonori Ueda. Learning systems of concepts with an infinite relational model. AAAI, 2006.
2. Zhao Xu, Volker Tresp, Kai Yu, and Hans-Peter Kriegel. Infinite hidden relational models. Uncertainty in Artificial Intelligence (UAI), 2006.
3. Edoardo M. Airoldi, David M. Blei, Stephen E. Fienberg, and Eric P. Xing. Mixed membership stochastic blockmodel. Journal of Machine Learning Research, 9:1981-2014, 2008.
4. Konstantina Palla, David A. Knowles, and Zoubin Ghahramani. An infinite latent attribute model for network data. In Proceedings of the 29th International Conference on Machine Learning, ICML 2012. July 2012.
5. Alan G. Hawkes. Point spectra of some self-exciting and mutually-exciting point processes. Journal of the Royal Statistical Society. Series B (Methodological), 58:83-90, 1971.
6. Alan G. Hawkes. Point spectra of some mutually-exciting point processes. Journal of the Royal Statistical Society. Series B (Methodological), 33(3):438-443, 1971.
7. John F. C. Kingman. Poisson Processes. Oxford University Press, 1993.
8. Alan G. Hawkes and David Oakes. A cluster process representation of a self-exciting process. Journal of Applied Probability, 11(3):493-503, 1974.
9. David Oakes. The Markovian self-exciting process. Journal of Applied Probability, 12(1):69-77, 1975.
10. Aleskandr Simma and Michael I. Jordan. Modeling events with cascades of poisson processes. Uncertainty in Artificial Intelligence (UAI), 2010.
11. Radford M. Neal. Markov chain sampling methods for Dirichlet process mixture models. Technical Report 9815, University of Toronto, 1998.
12. Radford M. Neal. Slice sampling. Annals of Statistics, 31(3):705767, 2003.
13. Uri Nodelman, Christian R. Shelton, and Daphne Koller. Continuous time Bayesian networks. Uncertainty in Artificial Intelligence (UAI), 2002.
14. Shyamsundar Rajaram, Thore Graepel, and Ralf Herbrich. Poisson-networks: A model of structured point processes. Proceedings of the Tenth International Workshop on Artificial Intelligence and Statistics (AISTATS), 2005.
15. Asela Gunawardana, Christopher Meek, and Puyang Xu. A model for temporal dependencies in event streams. Neural Information Processing Systems (NIPS), 2011.
16. David Wingate, Noah D. Goodman, Daniel M. Roy, and Joshua B. Tenenbaum. The infinite latent events model. Uncertainty in Artificial Intelligence (UAI), 2009.
17. Christopher DuBois and Padhraic Smyth. Modeling relational events via latent classes. In Proceedings of the 16th ACM SIGKDD Conference on Knowledge Discovery and Data Mining, 2010.
18. Liam Paninski. Maximum likelihood estimation of cascade point-process neural encoding models. Network, 2004.
19. Liam Paninski, Jonathan Pillow, and Jeremy Lewi. Statistical models for neural encoding, decoding, and optimal stimulus design. In Computational Neuroscience: Theoretical Insights Into Brain Function. 2007.
20. Maayan Roth, Assaf Ben-David, David Deutscher, Guy Flysher, Ilan Horn, Ari Leichtberg, Naty Leiser, Yossi Matias, and Ron Merom. Suggesting friends using the implicit social graph. In Proceedings of the 16th ACM SIGKDD Conference on Knowledge Discovery and Data Mining, 2010.
21. Enron 2009 Data set. http://www.cs.cmu.edu/enron/.
22. John W. DuBois, Wallace L. Chafe, Charles Meyer, and Sandra A. Thompson. Santa Barbara corpus of spoken American English. Linguistic Data Consortium, 2000.
23. Faten Ghosn, Glenn Palmer, and Stuart Bremer. The mid3 data set, 19932001: Procedures, coding rules, and description. Conflict Management and Peace Science, 21:133-154, 2004.
24. Dispute Narratives. http://www.correlatesofwar.org/cow2%20data/mids/ midv3.0.narratives.pdf.