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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

V. Emiya (LIF): Compressed sensing with unknown sensor permutation




Date(s) : 24/01/2014   iCal
14h00 - 15h00

Compressed sensing with unknown sensor permutation\nBy Valentin Emiya\, LIF.\n\nCompressed sensing is the ability to retrieve a sparse vector from a set of linear measurements. The task gets more difficult when the sensing process is not perfectly known. We address such a problem in the case where the sensors have been permuted\, i.e.\, the order of the measurements is unknown. We propose a branch-and-bound algorithm that converges to the solution. The experimental study shows that our approach always retrieves the unknown permutation\, while a simple convex relaxation strategy almost always fails. In terms of its time complexity\, we show that the proposed algorithm converges quickly with respect to the combinatorial nature of the problem.

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