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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...
The selection functional      The selection functional       2009/9/23
The selection functional。
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...
For many classication and regression problems, a large number of features are available for possible use this is typical of DNA microarray data on gene expression, for example. Often, for computatio...
In the paper discrete time portblio selection with maximization of a discounted satisfaction functional is studied. In Section 2 the case without transaction costs is considered and explint solutio...
We consider a $l_1$-penalization procedure in the non-parametric Gaussian regression model. In many concrete examples, the dimension $d$ of the input variable $X$ is very large (sometimes depending on...
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...
We propose a general family of algorithms for regression estimation with quadratic loss, on the basis of geometrical considerations. These algorithms are able to select relevant functions into a large...
We propose an estimation procedure for linear functionals based on Gaussian model selection techniques. We show that the procedure is adaptive, and we give a non asymptotic oracle inequality for the r...
We investigate in this paper the estimation of Gaussian graphs by model selection from a non-asymptotic point of view. We start from a $n$-sample of a Gaussian law $mathbb{P}_C$ in $mathbb{R}^p$ and f...
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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