Recovery guarantees are established for weighted ℓ1 minimization over wavelet dictionaries in three inverse problems, with sample complexity ranging from roughly the dimension squared times sparsity to polylogarithmic in the dimension.
Generalized sampling and infinite -dimensional compressed sensing
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Compressed sensing for inverse problems II: applications to deconvolution, source recovery, and MRI
Recovery guarantees are established for weighted ℓ1 minimization over wavelet dictionaries in three inverse problems, with sample complexity ranging from roughly the dimension squared times sparsity to polylogarithmic in the dimension.