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By providing significant regularization to the tomographic inversion problem with limited projections, the proposed technique provides robust and reliable 3-D reconstructions of ionospheric electron density.
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We then show experimentally that L1 regularization has significant advantages over both the Non-Negative Least Squares (NNLS) algorithm and Tikhonov regularization.
In[8], it was found that group sparse regularization can offer significant gains over efficient techniques like the elastic net (combining of l1 and l2 regularization) in noise robust speech recognition.
Further, the optimization algorithm exhibited better convergence properties with regularization, although no significant improvements in the model predictions was observed.
In conclusion, based on tissue-phantom studies, we have validated that the combination of DCA with L1-regularization can offer significant improvement in depth localization and spatial resolution for DOT images.
With regularization, we obtain a significant increase in accuracy.
We observe that lasso and dirty regularization-based regression methods yield significant improvements in performance, both yielding 78.4% prediction accuracy.
The linear subspaces of the multiblock, which maximize the total squared correlations, identify the significant factors of the association model with sparsity regularization.
The numerical schemes for TFM per se may also offer room for improvement, for instance via the regularization scheme, which can have a significant influence on the effective resolution of TFM.
Compared with the maximum likelihood estimation method, significant performance improvements are observed using any of the regularization methods.
Recently, Tian and Yuan [11] proposed a linearized primal-dual method for linear inverse problems with total-variation regularization and showed that this variant yields significant computational benefits.
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