Joint estimation for multisource Gaussian graphical models based on transfer learning

被引:1
作者
Zhang, Yuqi [1 ]
Yang, Yuehan [1 ]
机构
[1] Cent Univ Finance & Econ, Sch Stat & Math, Beijing 100081, Peoples R China
基金
中国国家自然科学基金;
关键词
Transfer learning; Multisource data; Gaussian graphical models; Penalized regressions; COVARIANCE ESTIMATION; SELECTION; LASSO;
D O I
10.1016/j.patcog.2024.110964
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This study considers data from multiple sources for Gaussian graphical models with one target graph and several auxiliary graphs. We propose a method called joint estimation for multisource Gaussian graphical models (JEM-GGM) to achieve a stable and accurate estimate of the target graph. Using the information from the auxiliary graphs, the proposed method is used to effectively solve the problem of small sample sizes. In this method, equivalent regression models are developed for graphs and the difference between the auxiliary and target graphs was penalized to ensure computational efficiency and improve estimation accuracy. Simulations revealed that the proposed method always outperformed other methods in terms of estimation and prediction accuracy. The application of this method to breast and lymphatic cancer cell lines reveals that the proposed method always obtains a sparse collection of important genome pairs.
引用
收藏
页数:11
相关论文
共 38 条
[1]  
Banerjee O, 2008, J MACH LEARN RES, V9, P485
[2]   Regularized estimation of large covariance matrices [J].
Bickel, Peter J. ;
Levina, Elizaveta .
ANNALS OF STATISTICS, 2008, 36 (01) :199-227
[3]  
Bühlmann P, 2011, SPRINGER SER STAT, P1, DOI 10.1007/978-3-642-20192-9
[4]   Multitask learning [J].
Caruana, R .
MACHINE LEARNING, 1997, 28 (01) :41-75
[5]   Local linear approximation with Laplacian smoothing penalty and application in biology [J].
Chen, Xingyu ;
Yang, Yuehan .
STATISTICAL METHODS IN MEDICAL RESEARCH, 2023, 32 (06) :1145-1158
[6]   COPULA GAUSSIAN GRAPHICAL MODELS AND THEIR APPLICATION TO MODELING FUNCTIONAL DISABILITY DATA [J].
Dobra, Adrian ;
Lenkoski, Alex .
ANNALS OF APPLIED STATISTICS, 2011, 5 (2A) :969-993
[7]   Positivity for Gaussian graphical models [J].
Draisma, Jan ;
Sullivant, Seth ;
Talaska, Kelli .
ADVANCES IN APPLIED MATHEMATICS, 2013, 50 (05) :661-674
[8]   NETWORK EXPLORATION VIA THE ADAPTIVE LASSO AND SCAD PENALTIES [J].
Fan, Jianqing ;
Feng, Yang ;
Wu, Yichao .
ANNALS OF APPLIED STATISTICS, 2009, 3 (02) :521-541
[9]   Sparse inverse covariance estimation with the graphical lasso [J].
Friedman, Jerome ;
Hastie, Trevor ;
Tibshirani, Robert .
BIOSTATISTICS, 2008, 9 (03) :432-441
[10]   Transfer learning on stratified data: joint estimation transferred from strata [J].
Gao, Yimiao ;
Yang, Yuehan .
PATTERN RECOGNITION, 2023, 140