Adding a noise collector matrix to the imaging system stabilizes l1-minimization against additive noise, although the proven construction needs exponentially many columns while small random collectors work empirically.
Russell, Entropic regularization of the饾搧0 function, Springer Optim
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Imaging with highly incomplete and corrupted data
Adding a noise collector matrix to the imaging system stabilizes l1-minimization against additive noise, although the proven construction needs exponentially many columns while small random collectors work empirically.