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Sunday, November 11, 2007

Compressed Sensing: Algorithms for Deterministic Compressed Sensing

Prompted by a commenter, I realized that there are now four, [update: strike that, make that five] different ways of building deterministic algorithms for the measurement matrices in Compressed Sensing. Terry Tao had previously introduced the subject. One can also read his take on DeVore's construction. There are currently at least three other lines of research yielding deterministic compressed sensing measurement matrices, that of Mark Iwen as mentioned before and Piotr Indyk as Muthu Muthukrishnan is pointing out in this entry. So to sumarize we have four constructions :

For the last entry, Emmanuel Candès made a presentation at IMA ( Compressive Sampling and Frontiers in Signal Processing ) highlithing the connections of Compressed Sensing with information and coding theory.


Photo Credit: JAXA/NHK, First HDTV view of the moon from the Kayuga probe of the Japanese Space Agency this past week. The whole movie can be seen here.

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