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

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Date(s) - 24/01/2014
14 h 00 min - 15 h 00 min

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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.

Olivier CHABROL
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