Publications [#338689] of Lawrence Carin

Papers Published

1. Wangy, L; Huang, J; Yuan, X; Cevher, V; Rodrigues, M; Calderban, R; Carin, L, A concentration-of-measure inequality for multiple-measurement models, IEEE International Symposium on Information Theory - Proceedings, vol. 2015-June (September, 2015), pp. 2341-2345, IEEE, ISBN 9781467377041 [doi]
   (last updated on 2024/12/31)

   Abstract:
   Classical compressive sensing typically assumes a single measurement, and theoretical analysis often relies on corresponding concentration-of-measure results. There are many real-world applications involving multiple compressive measurements, from which the underlying signals may be estimated. In this paper, we establish a new concentration-of-measure inequality for a block-diagonal structured random compressive sensing matrix with Rademacher-ensembles. We discuss applications of this newly-derived inequality to two appealing compressive multiple-measurement models: for Gaussian and Poisson systems. In particular, Johnson-Lindenstrauss-type results and a compressed-domain classification result are derived for a Gaussian multiple-measurement model. We also propose, as another contribution, theoretical performance guarantees for signal recovery for multi-measurement Poisson systems, via the inequality.