English

Large Scale Signal Detection: A Unified Perspective

Statistics Theory 2017-04-03 v3 Methodology Statistics Theory

Abstract

There is an overwhelmingly large literature and algorithms already available on `large scale inference problems' based on different modeling techniques and cultures. Our primary goal in this paper is \emph{not to add one more new methodology} to the existing toolbox but instead (a) to clarify the mystery how these different simultaneous inference methods are \emph{connected}, (b) to provide an alternative more intuitive derivation of the formulas that leads to \emph{simpler} expressions, and (c) to develop a \emph{unified} algorithm for practitioners. A detailed discussion on representation, estimation, inference, and model selection is given. Applications to a variety of real and simulated datasets show promise. We end with several future research directions.

Keywords

Cite

@article{arxiv.1507.08727,
  title  = {Large Scale Signal Detection: A Unified Perspective},
  author = {Subhadeep Mukhopadhyay},
  journal= {arXiv preprint arXiv:1507.08727},
  year   = {2017}
}

Comments

Online link of supplementary materials added; copyediting typos corrected

R2 v1 2026-06-22T10:23:00.499Z