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The convergence of solutions of PDEs with these regularized source terms is then studied in various topologies such as pointwise convergence on a deleted neighborhood and weighted Sobolev norms.
end{cases} (4.2). Figure 1 indicates the exact and regularized source terms given by the a posteriori parameter choice rule for Example 1. Figure 2 indicates the exact and regularized source terms given by the a posteriori parameter choice rule for Example 2. Figure 3 indicates the exact and regularized source terms given by the a posteriori parameter choice rule for Example 3.
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The inverse scattering problem is attacked using the Multiplicative Regularized Contrast Source Inversion method as known in the literature.
To solve the modeling task, we need three components: (i) regularized dimension reduction, (ii) combination of different data sources, and (iii) multi-way analysis.
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A novel machine learning method sparse network regularized multiple non-negative matrix factorization (SNMNMF) was developed in this work to integrate three heterogeneous data sources.
Transparent, dotted lines = all remaining partial regularized correlation relationships.
This problem is regularized by means of the Tikhonov method.
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North Koreans are already trading extensively, but this activity would become legalized and regularized.
Israeli law not only sanctions assassination but has regularized it to some extent.
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