Part mutual information for quantifying direct associations in networks
2016-05-03
发表期刊PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
ISSN0027-8424
卷号113期号:18页码:5130-5135
发表状态已发表
DOI10.1073/pnas.1522586113
摘要Quantitatively identifying direct dependencies between variables is an important task in data analysis, in particular for reconstructing various types of networks and causal relations in science and engineering. One of the most widely used criteria is partial correlation, but it can only measure linearly direct association and miss nonlinear associations. However, based on conditional independence, conditional mutual information (CMI) is able to quantify nonlinearly direct relationships among variables from the observed data, superior to linear measures, but suffers from a serious problem of underestimation, in particular for those variables with tight associations in a network, which severely limits its applications. In this work, we propose a new concept, "partial independence," with a new measure, "part mutual information" (PMI), which not only can overcome the problem of CMI but also retains the quantification properties of both mutual information (MI) and CMI. Specifically, we first defined PMI to measure nonlinearly direct dependencies between variables and then derived its relations with MI and CMI. Finally, we used a number of simulated data as benchmark examples to numerically demonstrate PMI features and further real gene expression data from Escherichia coli and yeast to reconstruct gene regulatory networks, which all validated the advantages of PMI for accurately quantifying nonlinearly direct associations in networks.
关键词conditional mutual information systems biology network inference conditional independence
收录类别SCI
语种英语
资助项目National Natural Science Foundation of China[61134013] ; National Natural Science Foundation of China[91439103] ; National Natural Science Foundation of China[91529303]
WOS研究方向Science & Technology - Other Topics
WOS类目Multidisciplinary Sciences
WOS记录号WOS:000375395700060
出版者NATL ACAD SCIENCES
WOS关键词GENE REGULATORY NETWORKS ; DEPENDENCIES ; INFERENCE
原始文献类型Article
引用统计
文献类型期刊论文
条目标识符https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/1843
专题生命科学与技术学院
生命科学与技术学院_特聘教授组_陈洛南组
生命科学与技术学院_博士生
通讯作者Chen, Luonan
作者单位
1.Chinese Acad Sci, Univ Chinese Acad Sci, Shanghai Inst Biol Sci,Inst Biochem & Cell Biol, Innovat Ctr Cell Signaling Network,Key Lab Syst B, Shanghai 200031, Peoples R China
2.ShanghaiTech Univ, Sch Life Sci & Technol, Shanghai 200031, Peoples R China
3.Univ Tokyo, Inst Ind Sci, Collaborat Res Ctr Innovat Math Modelling, Tokyo 1138654, Japan
通讯作者单位生命科学与技术学院
推荐引用方式
GB/T 7714
Zhao, Juan,Zhou, Yiwei,Zhang, Xiujun,et al. Part mutual information for quantifying direct associations in networks[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA,2016,113(18):5130-5135.
APA Zhao, Juan,Zhou, Yiwei,Zhang, Xiujun,&Chen, Luonan.(2016).Part mutual information for quantifying direct associations in networks.PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA,113(18),5130-5135.
MLA Zhao, Juan,et al."Part mutual information for quantifying direct associations in networks".PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA 113.18(2016):5130-5135.
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