On the Speed of Convergence of gen-OMP Algorithm under RIP Conditions

Following the program of translation of algorithmic problems into a dynamical system setup, we investigate the bounds for a gen-OMP algorithm in the terms of iterates of a piecewise affine one dimensional map. OMP algorithms are greedy methods for sparse signal recovery or approximation from random measurements. They originate from the signal-processing community and have also been popular in the domains of function approximation, statistics and machine learning.

By: Aurélie Lozano, Tomasz Nowicki, Grzegorz Swirszcz

Published in: RC25552 in 2015

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