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Recovering Structured Low rank Operators Using Nuclear Norms

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Figure 5.2: Average error vs. penalty constant, ℓ1 norm. Each panel plots theaverage squared error (5.6) of the denoising procedure over 10 trials versusthe penalty constant offset j (5.5) using the ℓ1 norm as a regularizer at variousSNR (5.7)
Figure 5.3: Average gain vs. SNR,with the convex solver ℓ1 norm. Each panel plots the averagegain (5.9) of the denoising procedure over 10 trials versus the SNR (5.7) usingthe ℓ1 norm as a regularizer at various operator ranks
Figure 5.4: Outer iterations by convergence tolerance.These counts are over all 10 trials of all parameter combinations tested for thevergence to a specified tolerance after each number of outer iterations
Figure 5.5: Average gain vs. SNR, convex and nonconvex solvers. Each panelplots the average gain (5.9) of the denoising procedure over 10 trials versus theSNR (5.7) using the ℓ1 norm as a regularizer with the color/shape indicating thesolution method
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