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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 \(\ell_1\)-minimization (BP) and
orthogonal matching pursuit (OMP),
and thus 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.
[Plumbley, IEEE Trans. Info. Theory, vol. 53, pp. 3188, Sep. 2007]
neglects the derivations of the
exact recovery conditions (ERCs) of
constrained \(\ell_1\)-minimization (BP) and
orthogonal matching pursuit (OMP),
and thus 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.
| Original language | English |
|---|---|
| Journal | I E E E Transactions on Information Theory |
| Volume | 59 |
| Issue number | 8 |
| Pages (from-to) | 5206-5209 |
| Number of pages | 4 |
| ISSN | 0018-9448 |
| DOIs | |
| Publication status | Published - Aug 2013 |
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Greedy Sparse Approximation and the Automatic Description of Audio and Music Data
Sturm, B. L.
Technology and Production Independent Postdoc Center for Independent Research
01/01/2012 → …
Project: Research
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Audio and Music Signal Processing and Compressed Sensing
Sturm, B. L. & Plumbley, M.
Queen Mary University of London, Center for Digital Music Platform Grant
16/04/2012 → 29/06/2012
Project: Research