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Constructing test instances for Basis Pursuit Denoising

By Dirk A. Lorenz


The number of available algorithms for the so-called Basis Pursuit Denoising problem (or the related LASSO-problem) is large and keeps growing. Similarly, the number of experiments to evaluate and compare these algorithms on different instances is growing. In this note, we present a method to produce instances with exact solutions which is based on a simple observation which is related to the so called source condition from sparse regularization

Topics: Computer Science - Information Theory, 94A12, 90C25
Year: 2011
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