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On Theorem 10 in "On Polar Polytopes and the Recovery of Sparse Representations"
Abstract : It is shown that Theorem 10 (Non-Nestedness of ERC) in [Plumbley, IEEE Trans. Info. Theory, vol. 53, pp. 3188, Sep. 2007] neglects the derivations of the exact recovery conditions (ERCs) of constrained 1-minimization (BP) and orthogonal matching pursuit (OMP). This means that it does not reflect the recovery properties of these algorithms. Furthermore, an ERC of BP more general than that in [Tropp, IEEE Trans. Info. Theory, vol. 50, pp. 2231, Oct. 2004] is shown.
Cited literature [8 references]
https://hal.inria.fr/hal-00839327
Contributor : Boris Mailhé Connect in order to contact the contributor
Submitted on : Thursday, June 27, 2013 - 5:17:30 PM
Last modification on : Tuesday, April 24, 2018 - 4:16:02 PM
Long-term archiving on: : Wednesday, April 5, 2017 - 4:37:36 AM
Contributor : Boris Mailhé Connect in order to contact the contributor
Submitted on : Thursday, June 27, 2013 - 5:17:30 PM
Last modification on : Tuesday, April 24, 2018 - 4:16:02 PM
Long-term archiving on: : Wednesday, April 5, 2017 - 4:37:36 AM
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nestedERC20130404-2.pdf
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