Volume 1 - Issue 2 – 3
Aggregate Human Mobility Modeling Using Principal Component Analysis
- Jingbo SUN
Department of Electronic Engineering, Tsinghua University, Beijing, China
sjb06@mails.tsinghua.edu.cn
- Yue WANG
Department of Electronic Engineering, Tsinghua University, Beijing, China
wangyue@tsinghua.edu.cn
- Hongbo SI
Department of Electronic Engineering, Tsinghua University, Beijing, China
sihb07@mails.tsinghua.edu.cn
- Jian YUAN
Department of Electronic Engineering Tsinghua University, Beijing, China
jyuan@tsinghua.edu.cn
- Xiuming SHAN
Department of Electronic Engineering Tsinghua University, Beijing, China
shanxm@tsinghua.edu.cn
Keywords: Aggregate Human Mobility Modeling Using PCA, Journal of Wireless Mobile Networks, Ubiquitous Computing, Dependable Applications
Abstract
Accurate modeling of aggregate human mobility benefits many aspects of cellular mobile networks.
Compared with traditional approaches, the cellular networks provide information for aggregate
human mobility in urban space with large spatial extent and continuous temporal coverage, due
to the high penetration of cell phones. In this paper, a model by utilizing Principal Component Analysis
(PCA) is proposed to explore the space-time structure of aggregate human mobility. The original
data were collected by cellular networks in a southern city of China, recording population distribution
by dividing the city into thousands of pixels. By applying PCA to original data, the low intrinsic
dimensionality is revealed. The structure of all the pixel population variations could be well captured
by a small set of eigen pixel population variations, an introduced notion capturing significant temporal
patterns across all the pixel population variations. According to their temporal features, eigen
pixel population variations can be divided into three categories, and each pixel population variation
can be decomposed into three corresponding constitutions: deterministic trends, short-lived spikes,
and noise. Furthermore, there is also a relation between the variance of a pixel population variation
and its dominated constitution. The most significant eigen pixel population variations are utilized in
the applications of forecasting and anomaly detection.