Softwares

Sparse Conditional Gaussian Graphical Models

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Tree-Guided Group Lasso

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Tree-guided group lasso estimates a sparse multi-response regression model, while leveraging a hierarhical clustering tree structure over response variables.. In particular, given a hierarchical structure over the responses such as a hierarchical clustering tree with leaf nodes for responses and internal nodes for clusters of related responses at multiple granularity, tree-guided group lasso leverages this structure to recover covariates relevant to each hierarchically-defined cluster of responses. The method can be used for expression quantitative trait locus (eQTL) mapping to identify genetic variants perturbing the expressions of gene modules defined by hierarchical clustering tree. The software package includes an implementation of smoothing proximal gradient method described in the papers below:

Tree-guided group lasso for multi-response regression with structured sparsity, with an application to eQTL mapping.
S. Kim, E. P. Xing. Annals of Applied Statistics, 6(3):1095-1117, 2012.

Smoothing proximal gradient method for general structured sparse regression.
X. Chen, Q. Lin, S. Kim, J.G. Carbonell, E.P. Xing. Annals of Applied Statistics, 6(2):719-752, 2012.


Graph-Guided Fused Lasso

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Graph-guided fused lasso estimates a sparse multi-response regression model, while leveraging a weighted network structure over response variables to find covariates that are jointly relevant to multiple correlated responses according to the network structure. The method can be used for expression quantitative trait locus (eQTL) mapping or genome-wide association analysis, where the network structure over phenotypes is known. The software package includes an implementation of smoothing proximal gradient method described in the papers below:

Smoothing proximal gradient method for general structured sparse regression.
X. Chen, Q. Lin, S. Kim, J.G. Carbonell, E.P. Xing. Annals of Applied Statistics, 6(2):719-752, 2012.


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