Semi-parametric Learning of Structured Temporal Point Processes

Semi-parametric Learning of Structured Temporal Point Processes
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结构化时间点过程的半参数学习

DOI:
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发表时间:
2020-09
影响因子:
6
通讯作者:
Guan Yongtao
Guan Yongtao
中科院分区:
计算机科学3区
文献类型:
--
作者:
Xu Ganggang;Wang Ming;Bian Jiangze;Huang Hui;Burch Timothy R.;Andrade S;ro C.;Zhang Jingfei;Guan Yongtao

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We propose a general framework of using multi-level log-Gaussian Cox process to model repeatedly observed point processes with complex structures; such type of data have become increasingly available in various areas including medical research, social sciences, economics and finance due to technological advances. A novel nonparametric approach is developed to efficiently and consistently estimate the covariance functions of the latent Gaussian processes at all levels. To predict the functional principal component scores, we propose a consistent estimation procedure by maximizing the conditional likelihood of super-positions of point processes. We further extend our procedure to the bivariate point process case in which potential correlations between the processes can be assessed. Asymptotic properties of the proposed estimators are investigated, and the effectiveness of our procedures is illustrated through a simulation study and an application to a stock trading dataset.
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