Practical error estimates for sparse recovery in linear inverse problems

Details Practical error estimates for sparse recovery in linear inverse problems Practical error estimates for sparse recovery in linear inverse problems

2009-08-25

arxiv.org/abs/0908.3636v2

Mathematics

Numerical Analysis

11 pages, 5 figures

Scientific paper

The effectiveness of using model sparsity as a priori information when solving linear inverse problems is studied. We investigate the reconstruction quality of such a method in the non-idealized case and compute some typical recovery errors (depending on the sparsity of the desired solution, the number of data, the noise level on the data, and various properties of the measurement matrix); they are compared to known theoretical bounds and illustrated on a magnetic tomography example.

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