Clustering serves as a pivotal instrument in the realm of gene expression data analysis.This paper proposes a Biclustering Coefficient Estimation(BCE)method to identify groups in the individuals and genes.An alternati...Clustering serves as a pivotal instrument in the realm of gene expression data analysis.This paper proposes a Biclustering Coefficient Estimation(BCE)method to identify groups in the individuals and genes.An alternating direction method of multipliers(ADMM)algorithm with a double fusion penalty is developed to solve the problem.The authors rigorously establish the oracle properties for the proposed penalized estimator.Numerical studies,including simulations and analysis of a lung adenocarcinoma dataset,suggest that the proposed method is expected to simultaneously recover reasonable potential groups of samples and covariates and provide satisfactory estimates of group coefficients.展开更多
基金supported by the National Science Foundation of China under Grant Nos.12171450 and71921001。
文摘Clustering serves as a pivotal instrument in the realm of gene expression data analysis.This paper proposes a Biclustering Coefficient Estimation(BCE)method to identify groups in the individuals and genes.An alternating direction method of multipliers(ADMM)algorithm with a double fusion penalty is developed to solve the problem.The authors rigorously establish the oracle properties for the proposed penalized estimator.Numerical studies,including simulations and analysis of a lung adenocarcinoma dataset,suggest that the proposed method is expected to simultaneously recover reasonable potential groups of samples and covariates and provide satisfactory estimates of group coefficients.
