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We address the issue of variable selection in the regression model with very high ambient dimension, i.e., when the number of covariates is very large. The main focus is on the situation where the num...
We address the issue of variable selection in the regression model with very high ambient dimension, i.e., when the number of covariates is very large. The main focus is on the situation where the nu...
Lasso and other regularization procedures are attractive methods for variable selection, subject to a proper choice of shrinkage parameter. Given a set of potential subsets produced by a regularizatio...
In linear regression problems with related predictors, it is desir-able to do variable selection and estimation by maintaining the hi-erarchical or structural relationships among predictors. In this p...
We propose MC+, a fast, continuous, nearly unbiased and accu- rate method of penalized variable selection in high-dimensional linear regression. The LASSO is fast and continuous, but biased. The bia...
Measurement error data or errors-in-variable data have been collected in many studies. Natural criterion functions are often unavailable for general functional measurement error models due to the la...
Variable selection in high dimensional space has challenged many contemporary statistical problems from many frontiers of scientific disciplines. Recent technology advance has made it possible to co...
We revisit the adaptive Lasso in a high-dimensional linear model, and provide bounds for its prediction error and for its number of false positive selections. We compare the adaptive Lasso with an “...
Given n noisy samples with p dimensions, where n  p, we show that the multi-step thresholding procedure based on the Lasso – we call it the Thresholded Lasso, can accurately estimate a sparse vector ...
We consider the problem of estimating the number of components and the rel- evant variables in a mixture model for multilocus genotypic data. A new pe- nalized maximum likelihood criterion is propos...
The selection of variables in regression problems has occupied the minds of many statisticians.Several Bayesian variable selection methods have been developed,and we concentrate on the following met...
In this paper, we consider theoretical and computational connections between six popular methods for variable subset selection in generalized linear models (GLMs) Under the conjugate priors develope...
This paper investigates correct variable selection in finite samples via $ell_1$ and $ell_1 + ell_2$ type penalization schemes. The asymptotic consistency of variable selection immediately follows fro...
Support Vector Machine (SVM) is a popular classification paradigm in machine learning and has achieved great success in real applications. However, the standard SVM can not select variables automatica...
When applying the support vector machine (SVM) to high-dimensional classification problems, we often impose a sparse structure in the SVM to eliminate the influences of the irrelevant predictors. The ...

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