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By introducing the regularization term and replacing 2-norm of slack variables instead of 1-norm, our RKNNWTSVR only needs to solve a simple system of linear equations with low computational cost, and at the same time, it improves the generalization performance.
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Motivated by the ill-posedness of the Perona-Malik model, many works (see for instance [17 19]) suggest to introducing the regularization in space and/or time.
We formalize this stage by introducing the range-azimuth factorization operator, the same one as in the previous POCS regularization considered in [10].
We begin by introducing the replicator dynamics.
This motivates us to introduce the regularization (Tibshirani, 1996): The regularization (also called Lasso) performs feature selection and classification in a unified formulation.
The regularization of the Green's function removes its singularity by introducing a regularization radius which is related to the discretization length and hence imposes a minimum resolved scale.
The more recent paper Ren et al. (2016b) established the comparison for fully nonlinear degenerate PPDEs, by introducing a regularization operator which can be viewed as the counterpart of the sup-convolution in the PDE literature.
The new model incorporates these prior structures by introducing new regularization terms to encourage similarity between grouped or connected features.
The new model incorporates these prior structures by introducing new regularization terms to encourage weight similarity between grouped or connected features.
The tendency to select model parameters resulting in complex models could be moderated by introducing a regularization term, penalizing solutions with greater model complexity [23] or by considering the Akaike Information Criterion (AIC) [24].
This extra constraint can be added to the incompressible Navier Stokes equations by introducing regularization and interpolation operators.
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