Sequential Greedy Approximation for Certain Convex Optimization Problems

Copyright © (2003) by IEEE. Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distrubuted for profit. To copy otherwise, to republish, to post on servers, or to redistribute to lists, requires prior specific permission and/or a fee.

We present a general greedy algorithm for a class of convex optimization problems. The algorithm is motivated from function approximation using sparse combination of basis functions as well as some of its variants. We derive a bound on the rate of approximation, and show that our analysis generalizes a number of earlier studies.

By: Tong Zhang

Published in: IEEE Transactions on Information Theory, volume 49, (no 3), pages 682-91 in 2003

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