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Many restoration methods apply (iteratively or not) a regularized inversion involving H T, or (R + H T H)-1 (where R is a regularization matrix), or a combination of both, such as their multiplication (which is a regularized version of H-1).
Preliminary 2D investigations are also conducted by using a regularized version of the adopted formulation.
A regularized version of the model is constructed based on the level-set method.
For the within-class scatter matrix, a regularized version of that in [27] is used: (18).
In order to overcome these disadvantages, in [14] authors provided a regularized version of the NI function.
Instead, we employ a regularized version of DTW kernel that can be positive definite if certain conditions are satisfied.
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The other is a redundancy measure in the form of a new regularized version of the coefficient of multiple correlation r ~ ∗, which can be interpreted as a regularized coefficient of determination in linear regression.
Further, we define a new regularized version of the coefficient of multiple correlation and use it as a redundancy measure.
Particularly, redundancy is measured by a new regularized version of the coefficient of multiple correlation and relevance is measured by a highly robust correlation coefficient based on the least weighted squares regression with data-adaptive weights.
Hastie et al. [ 23] replace Σ by a regularized version, Σ + λ Ω, where Ω is a roughness-penalizing matrix and λ is a smoothing parameter that adjusts the amount of smoothing.
To achieve (ensemble-level) flow responses in close agreement with those from reference geostatistical realizations, a bound-constrained, regularized version of KPCA, referred to as R-KPCA, is also introduced.
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