# Markov-Modulated Hawkes Processes for Sporadic and Bursty Event Occurrences

@article{Wu2019MarkovModulatedHP, title={Markov-Modulated Hawkes Processes for Sporadic and Bursty Event Occurrences}, author={J. Wu and Owen G. Ward and J. Curley and T. Zheng}, journal={arXiv: Applications}, year={2019} }

Modeling event dynamics is central to many disciplines. Patterns in observed event arrival times are commonly modeled using point processes. Such event arrival data often exhibits self-exciting, heterogeneous and sporadic trends, which is challenging for conventional models. It is reasonable to assume that there exists a hidden state process that drives different event dynamics at different states. In this paper, we propose a Markov Modulated Hawkes Process (MMHP) model for learning such a… Expand

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#### References

SHOWING 1-10 OF 35 REFERENCES

The origin of bursts and heavy tails in human dynamics

- Computer Science, Mathematics
- Nature
- 2005

The Markov-Modulated Poisson Process (MMPP) Cookbook

- Mathematics, Computer Science
- Perform. Evaluation
- 1993

The Markov Modulated Poisson Process and Markov Poisson Cascade with Applications to Web Traffic Modeling

- Mathematics
- 2003

Mean Field Variational Approximation for Continuous-Time Bayesian Networks

- Computer Science, Mathematics
- J. Mach. Learn. Res.
- 2010

Discovering Latent Network Structure in Point Process Data

- Mathematics, Computer Science
- ICML
- 2014

Point process modeling for directed interaction networks

- Mathematics, Computer Science
- ArXiv
- 2010