Publication Type
Report
Publication Date
12-2011
Abstract
What are the features of mobile phone graph along the time? How to model these features? What are the interpretation for the evolutional graph generation process? To answer the above challenging problems, we analyze a massive who-call-whom networks as long as a year, gathered from records of two large mobile phone communication networks both with 2 million users and 2 billion of calls. We examine the calling behavior distribution at multiple time scales (e.g. day, week, month and quarter), and find that the distribution is not only skewed with a heavy tail, but also changing at different time scales. How to model the changing behavior, and whether there exists a distribution fitting the multi-scale data well? In this paper, first, we define a δ stable distribution and a Multi-scale Distribution Fitting (MsDF) problem. Second, to analyze our observed distributions at different time scales, we propose a framework, ScalePower, which not only fits the multi-scale data distribution very well, but also works as a convolutional distribution mixture to explain the generation mechanism of the multi-scale distribution changing behavior. Third, ScalePower can conduct a fitting approximation from a small time scale data to a large time scale. Furthermore, we illustrate the interesting and appealing findings from our ScalePower model and large scale real life data sets.
Keywords
Distribution, Generative Process, Lognormal, Convolution, Mobile Phone Graph
Discipline
Artificial Intelligence and Robotics | Theory and Algorithms
Embargo Period
4-4-2014
Citation
Liu, Siyuan; Li, Lei; Faloutsos, Christos; and Ni, Lionel M..
Mobile Phone Graph Evolution: Findings, Model and Interpretation. (2011).
Available at: https://ink.library.smu.edu.sg/larc/6
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.