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math.ST2013★ 39 cited
Hypothesis testing for high-dimensional sparse binary regression
Rajarshi Mukherjee, Natesh S. Pillai, Xihong Lin
In this paper, we study the detection boundary for minimax hypothesis testing in the context of high-dimensional, sparse binary regression models. Motivated by genetic sequencing a…
math.ST2012
Parallelism, Uniqueness, and Large-Sample Asymptotics for the Dantzig Selector
Lee Dicker, Xihong Lin
The Dantzig selector (Candes and Tao, 2007) is a popular l1-regularization method for variable selection and estimation in linear regression. We present a very weak geometric condi…