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Exact(4)

It should be remarked that a similar regularization technique has already been successfully applied to nonlinear advection-diffusion equations with both mathematical and numerical analyzes [63].

In[6], similar regularization methods are adopted to improve the estimation of state-specific parameters in the subspace Gaussian mixture model (SGMM).

end{aligned} (18)A similar regularization term of the classical model is found by Wheeler (2006) as well as by Ghosh et al.

Since the nonlinear term f satisfies the condition (P2), by using the similar regularization method in [20], we can prove that u ∈ C2+μ,1]μ/2([0, 1] × J) is a classical solution of the problem (24).

Similar(55)

However, the increase in invariance also means that different points can become more similar after invariance regularization.

Because the registered image is similar to other regularization terms, we omit to present them inhere for the sake of brevity.

Smoothening techniques for discontinuous vector fields, which are similar to the regularization method considered in this paper, have been proposed and analyzed for rather general phase spaces [22 24].

A practical example is regularized MTL [81], which is based on the minimization of regularization functionals similar to Support Vector Machines (SVMs), which have been successfully used in the past for singletask learning.

The matrix ((b_{n,k})_{n,kinmathbb{N}}) in (1.6) plays a regularization role similar to the Cesaro matrix.

The final estimate is found by replacing the noisy pixels with values found through the procedure of edge-preserving regularization (EPR) similar to [24].

Note that this regularization scheme is similar to the scheme previously presented by Kelbert et al. (2008), who however defined the inverse of W. To minimize the penalty function given in Eq. (13), we apply the limited-memory quasi-Newton method (LMQN).

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