@article{Li:205082,
      title = {Consistency of $\ell_1$-Regularized Maximum-Likelihood for  Compressive Poisson Regression},
      author = {Li, Yen-Huan and Cevher, Volkan},
      year = {2015},
      abstract = {We consider Poisson regression with the canonical link  function. This regression model is widely used in  regression analysis involving count data; one important  application in electrical engineering is transmission  tomography. In this paper, we establish the variable  selection consistency and estimation consistency of the  $\ell_1$-regularized maximum-likelihood estimator in this  regression model, and characterize the asymptotic sample  complexity that ensures consistency even under the  compressive sensing setting (or the $n \ll p$ setting in  high-dimensional statistics).},
}