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Sparse Variable Selection on High Dimensional Heterogeneous Data With Tree Structured Responses

اختيار متغير متفرق على بيانات غير متجانسة عالية الأبعاد مع استجابات منظمة للشجرة
Authors: Hui Liu; Xiang Liu 0017; Jing Diao; Wenting Ye; Xueling Liu; Dehui Wei;

Sparse Variable Selection on High Dimensional Heterogeneous Data With Tree Structured Responses

Abstract

We consider the problem of sparse variable selection on high dimension heterogeneous data sets, which has been taking on renewed interest recently due to the growth of biological and medical data sets with complex, non-i.i.d. structures and huge quantities of response variables. The heterogeneity is likely to confound the association between explanatory variables and responses, resulting in enormous false discoveries when Lasso or its variants are naïvely applied. Therefore, developing effective confounder correction methods is a growing heat point among researchers. However, ordinarily employing recent confounder correction methods will result in undesirable performance due to the ignorance of the convoluted interdependency among response variables. To fully improve current variable selection methods, we introduce a model, the tree-guided sparse linear mixed model, that can utilize the dependency information from multiple responses to explore how specifically clusters are and select the active variables from heterogeneous data. Through extensive experiments on synthetic and real data sets, we show that our proposed model outperforms the existing methods and achieves the highest ROC area.

Keywords

Statistics and Probability, FOS: Computer and information sciences, Artificial intelligence, Learning and Inference in Bayesian Networks, mixed model, Confounding factors, Regularization and Variable Selection Methods, Mathematical analysis, Methodology (stat.ME), Selection (genetic algorithm), Artificial Intelligence, Lasso (programming language), Biochemistry, Genetics and Molecular Biology, Microarray Data Analysis and Gene Expression Profiling, Machine learning, FOS: Mathematics, Confounding, Sparse Models, Feature Selection, Variable (mathematics), Molecular Biology, Data mining, Statistics - Methodology, Model Selection, genome-wide association study, Statistics, Pure mathematics, Life Sciences, Computer science, TK1-9971, World Wide Web, Dimension (graph theory), Variable Selection, Physical Sciences, Computer Science, Feature selection, Tree (set theory), Dependency (UML), Electrical engineering. Electronics. Nuclear engineering, High-Dimensional Data, Mathematics, variable selection

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
gold