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Following on the regularized regression approach, many different models with different regularization methods were proposed.
In this work, we aim to design an incremental CF recommender based on the Regularized Matrix Factorization (RMF).
Conversely, the proposed approach is based on the regularized eXtended Finite Element Method with a mechanism-based detachment.
The power of this choice is demonstrated on theoretical solutions and on the regularized square cavity problem.
Based on the regularized Nikaido-Isoda function, we reformulate the set of normalized Nash equilibria, which is a subset of the generalized Nash equilibria, as solutions of a MPCC and we solve the MPCC by a smoothing method.
Some critical points in the model, like the assumed wavelength-independence of the refractive index and the fixed grid of investigated refractive indices, are studied with regard to their expected impact on the regularized solution.
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In general, Eq. (8) does not have any analytical solution; the quality of the regularized solution depends on the choice of the regularization parameter, which was often selected manually.
Table 5 gives a discussion as regards the impact of bound E on the relative error of the regularized approximation for Example 2, and we also see that a wrong constant E may lead to bad regularized solutions.
The p-values were calculated based on the absolute value of the regularized t-statistic [ 59], which uses a Bayesian framework to derive the algorithm, using internal replicated controls to assess the minimum technical variability of the process.
In spite of choosing the penalty function, the performance of the regularized estimators depends on various factors, such as the dimensionality of the model, the correlation among the variables, and the choice of the regularization parameter.
Based on the above consideration, the regularized particle filter (RPF) has been proposed in [31] where the Kernel density is introduced to approximate the true posterior density with a continuous density function.
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