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math.ST2017
Testing Gaussian Process with Applications to Super-Resolution
Jean-Marc Azaïs, Yohann De Castro, Stéphane Mourareau
This article introduces exact testing procedures on the mean of a Gaussian process derived from the outcomes of -minimization over the space of complex valued measures.…
math.ST2015
Power of the Spacing test for Least-Angle Regression
Jean-Marc Azaïs, Yohann de Castro, Stéphane Mourareau
Recent advances in Post-Selection Inference have shown that conditional testing is relevant and tractable in high-dimensions. In the Gaussian linear model, further works have deriv…
math.ST2014
A Rice method proof of the Null-Space Property over the Grassmannian
J. -M Azaïs, Y. De Castro, S. Mourareau
The Null-Space Property (NSP) is a necessary and sufficient condition for the recovery of the largest coefficients of solutions to an under-determined system of linear equations. I…