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Sharp Oracle Inequalities for Square Root Regularization
TLDR
We study a set of regularization methods for high-dimensional linear regression models. Expand
$χ^2$-confidence sets in high-dimensional regression
We study a high-dimensional regression model. Aim is to construct a confidence set for a given group of regression coefficients, treating all other regression coefficients as nuisance parameters. WeExpand
Asymptotic Confidence Regions for High-Dimensional Structured Sparsity
TLDR
In the setting of high dimensional linear regression models, we propose two frameworks for constructing pointwise and group confidence sets for penalized estimators, which incorporate prior knowledge about the organization of the nonzero coefficients. Expand
$\chi^2$-confidence sets in high-dimensional regression
Abstract We study a high-dimensional regression model. Aim is to construct a confidence set for a given group of regression coefficients, treating all other regression coefficients as nuisanceExpand
Cubulating one-relator products with torsion
We generalize results of Lauer and Wise to show that a one-relator product of locally indicable groups whose defining relator has exponent at least 4 admits a proper and cocompact action on a CAT(0)Expand