Recovering non-negative and combined sparse representations
Abstract
The non-negative solution to an underdetermined linear system can be uniquely recovered sometimes, even without imposing any additional sparsity constraints. In this paper, we derive conditions under which a unique non-negative solution for such a system can exist, based on the theory of polytopes. Furthermore, we develop the paradigm of combined sparse representations, where only a part of the coefficient vector is constrained to be...
Paper Details
Title
Recovering non-negative and combined sparse representations
Published Date
Mar 1, 2014
Journal
Volume
26
Pages
21 - 35
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