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• W1508893896 abstract "We propose extended coherence-based conditions for exact sparse support recovery using orthogonal matching pursuit and orthogonal least squares. Unlike standard uniform guarantees, we embed some information about the decay of the sparse vector coefficients in our conditions. As a result, the standard condition μ <; 1/(2k - 1) (where μ denotes the mutual coherence and k the sparsity level) can be weakened as soon as the nonzero coefficients obey some decay, both in the noiseless and the bounded-noise scenarios. Furthermore, the resulting condition is approaching μ <; 1/k for strongly decaying sparse signals. Finally, in the noiseless setting, we prove that the proposed conditions, in particular the bound μ <; 1/k, are the tightest achievable guarantees based on mutual coherence." @default.
• W1508893896 created "2016-06-24" @default.
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• W1508893896 date "2016-01-01" @default.
• W1508893896 modified "2023-10-18" @default.
• W1508893896 title "Relaxed Recovery Conditions for OMP/OLS by Exploiting Both Coherence and Decay" @default.
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• W1508893896 doi "https://doi.org/10.1109/tit.2015.2490660" @default.
• W1508893896 hasPublicationYear "2016" @default.
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