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Meinshausen and Buhlmann [Ann. Statist. 34 (2006) 1436–1462] showed that, for neighborhood selection in Gaussian graphical models, under a neighborhood stability condition, the LASSO is consistent, ...
Many model search strategies involve trading off model fit with model complexity in a penalized goodness of fit measure. Asymptotic properties for these types of procedures in settings like linear ...
Flexibly modeling the response variance in regression is important for efficient parameter estimation, correct inference, and for understanding the sources of variability in the response. Our articl...
We propose the variable selection procedure incorporating prior constraint information into lasso. The proposed procedure combines the sample and prior information, and selects significant variables ...
We consider the problem of estimating the unconditional distribution of a post-model-selection estimator.The notion of a post-model-selection estimator here refers to the combined procedure resulting ...
The primary method used for this initial regression is supervised principal components. Then we apply a standard procedure such as forward stepwise selection or the LASSO to the pre-conditioned resp...
We introduce a new principle for model selection in regression and classification. Many regression models are controlled by some smoothness or flexibility or complexity parameter c, e.g. the number ...
Let (Y,X1, . . . ,Xm) be a random vector. It is desired to predict Y based on (X1, . . . ,Xm). Examples of prediction methods are regression, classification using logistic regression or separating h...
We consider the problem of estimating the conditional distribution of a post-model-selection estimator where the conditioning is on the selected model. The notion of a post-model-selection estimator...
We propose a new method for model selection and model fitting in multivariate nonparametric regression models, in the framework of smoothing spline ANOVA. The “COSSO” is a method of regularization ...
For many classification 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 computat...
Information criteria are an appropriate and widely used tool for solving model selection problems. However, different ways to use them exist, each leading to a more or less precise approximation of...
Model selection by resampling penalization
Bootstrap techniques (also called resampling computation techniques) have introduced new advances in modeling and model evaluation [10]. Using resampling methods to construct a series of new samples...

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