L1 Projections with Box Constraints

Mithun Das Gupta, Sanjeev Kumar, Xiao, Jing · arXiv (Cornell University) · 2010

We study the L1 minimization problem with additional box constraints. We motivate the problem with two different views of optimality considerations. We look into imposing such constraints in projected gradient techniques and propose a worst case linear time algorithm to perform such projections. We demonstrate the merits and effectiveness of our algorithms on synthetic as well as real experiments.

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