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. 2014 Dec 14;15(1):400. doi: 10.1186/s12859-014-0400-4

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© Chang et al.; licensee BioMed Central. 2014

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.

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Geometric view of two-step refinement. A geometric view of two consecutive l ₁-norm optimizations. By using two-step refinements, first we estimate sparse large corruption v and then, we reconstruct q. For the ideal situation with no unobservable species (genes) or noise, we directly reconstruct q without estimating v.