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Pac-bayesian bounds for sparse regression estimation with exponential weights
Sparsity Oracle Inequality High-dimensional Regression
2010/12/6
We consider the sparse regression model where the number of parameters p is larger than the sample size n. The difficulty when considering high-dimensional problems is to propose estimators achieving ...
Detection boundary in sparse regression
High-dimensional regression detection boundary sparse vectors sparsity minimax hypothesis testing
2010/12/1
We study the problem of detection of a p-dimensional sparse vector of parameters in the linear regression model with Gaussian noise. We establish the detection boundary, i.e., the necessary and suffic...