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Sep 2, 2013 at 18:37 vote accept hattoriace
Aug 17, 2013 at 17:39 comment added Brian Borchers There are lots of sufficient conditions under which $L_{1}$ minimization will lead (with very high probability) to the sparse solution. You might find Elad's textbook on sparse and redundant representations helpful: amazon.com/…
Aug 17, 2013 at 10:32 comment added AnonSubmitter85 I'd love to find a text (one meant for teaching students, not research papers) that deals with the necessary conditions on $A$, $x$, and $b$ in order for $\ell_1$ to arrive at the correct solution. I've been reading Mallet's wavelet book but am not liking it at all (poorly written, non-standard notation, not well organized for self-learning about sparse $\ell_1$ minimization, along with other problems). Something at the graduate or advanced undergraduate level would be ideal.
Aug 1, 2013 at 23:25 history answered Brian Borchers CC BY-SA 3.0