Sparse signal recovery under Poisson statistics

@article{Motamedvaziri2013SparseSR,
  title={Sparse signal recovery under Poisson statistics},
  author={Delaram Motamedvaziri and Mohammad H. Rohban and Venkatesh Saligrama},
  journal={2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton)},
  year={2013},
  pages={1450-1457}
}
We are motivated by problems that arise in a number of applications such as explosives detection and online Marketing, where the observations are governed by Poisson statistics. Here each observation is a Poisson random variable whose mean is a sparse linear superposition of known patterns. Unlike many conventional problems observations here are not identically distributed since they are associated with different sensing modalities. We analyse the performance of a Maximum Likelihood (ML… CONTINUE READING