1. Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit.
- Author
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Tropp, Joel A. and Gilbert, Anna C.
- Subjects
- *
ALGORITHMS , *ALGEBRA , *COMPUTER programming , *LOCAL area networks , *COMPUTER networks , *ELECTRONIC data processing , *MULTIUSER computer systems , *RANDOM access memory , *MACHINE theory - Abstract
This paper demonstrates theoretically and empirically that a greedy algorithm called Orthogonal Matching Pursuit (OMP) can reliably recover a signal with m nonzero entries in dimension d given O(m ln d) random linear measurements of that signal. This is a massive improvement over previous results, which require O(m2) measurements. The new results for OMP are comparable with recent results for another approach called Basis Pursuit (BP). In some settings, the OMP algorithm is faster and easier to implement, so it is an attractive alternative to BP for signal recovery problems. [ABSTRACT FROM AUTHOR]
- Published
- 2007
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