The Dynamic Chinese Restaurant Process via Birth and Death Processes
Abstract
We develop the Dynamic Chinese Restaurant Process (DCRP) which incorporates time-evolutionary feature in dependent Dirichlet Process mixture models. This model can capture the dynamic change of mixture components, allowing clusters to emerge, vanish and vary over time. All these macroscopic changes are controlled by tracing the birth and death of every single element. We investigate the properties of dependent Dirichlet Process mixture model based on DCRP and develop corresponding Gibbs Sampler for posterior inference. We also conduct simulation and empirical studies to compare this model with traditional CRP and related models. The results show that this model can provide better results for sequential data, especially for data with heterogeneous lifetime distribution.
Cite
Text
Huang et al. "The Dynamic Chinese Restaurant Process via Birth and Death Processes." AAAI Conference on Artificial Intelligence, 2015. doi:10.1609/AAAI.V29I1.9546Markdown
[Huang et al. "The Dynamic Chinese Restaurant Process via Birth and Death Processes." AAAI Conference on Artificial Intelligence, 2015.](https://mlanthology.org/aaai/2015/huang2015aaai-dynamic/) doi:10.1609/AAAI.V29I1.9546BibTeX
@inproceedings{huang2015aaai-dynamic,
title = {{The Dynamic Chinese Restaurant Process via Birth and Death Processes}},
author = {Huang, Rui and Zhu, Fengyuan and Heng, Pheng-Ann},
booktitle = {AAAI Conference on Artificial Intelligence},
year = {2015},
pages = {2687-2693},
doi = {10.1609/AAAI.V29I1.9546},
url = {https://mlanthology.org/aaai/2015/huang2015aaai-dynamic/}
}