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Near-ideal model selection by minimization
Emmanuel J. Candès, Yaniv Plan
We consider the fundamental problem of estimating the mean of a vector , where is an design matrix in which one can have far more variables than observation…
Searching for a trail of evidence in a maze
Ery Arias-Castro, Emmanuel J. Candès, Hannes Helgason +1
Consider a graph with a set of vertices and oriented edges connecting pairs of vertices. Each vertex is associated with a random variable and these are assumed to be independent. I…
Sparsity and Incoherence in Compressive Sampling
Emmanuel Candes, Justin Romberg
We consider the problem of reconstructing a sparse signal from a limited number of linear measurements. Given randomly selected samples of , where is an…
The Dantzig selector: Statistical estimation when is much larger than
Emmanuel Candes, Terence Tao
In many important statistical applications, the number of variables or parameters is much larger than the number of observations . Suppose then that we have observations $y=…