Title :
Reconstruction of Gaussian mixture models from compressive measurements: A phase transition view
Author :
Renna, Francesco ; Calderbank, R. ; Carin, Lawrence ; Rodrigues, Miguel R. D.
Author_Institution :
Inst. de Telecomun., Univ. do Porto, Porto, Portugal
Abstract :
We characterize the minimum number of measurements needed to drive to zero the minimum mean squared error (MMSE) of Gaussian mixture model (GMM) input signals in the low-noise regime. The result also hints at almost phase-transition optimal recovery procedures based on a classification and reconstruction approach.
Keywords :
Gaussian processes; compressed sensing; mean square error methods; mixture models; phase transformations; Gaussian mixture models; classification approach; compressive measurement; low-noise regime; minimum mean squared error; phase-transition optimal recovery procedures; reconstruction approach; Educational institutions; Electronic mail; Gaussian mixture model; Image reconstruction; Measurement uncertainty; Phase measurement; Compressive sensing; Gaussian mixture models; minimum mean squared error; phase transition;
Conference_Titel :
Global Conference on Signal and Information Processing (GlobalSIP), 2013 IEEE
Conference_Location :
Austin, TX
DOI :
10.1109/GlobalSIP.2013.6736965
