Exact(12)
For detailed expression of this regularized DTW kernel, readers are referred to [30].
Before this regularized function is introduced, we first define a non-local gradient operator combining the transmission.
He uses this "regularized" solution as the starting point for a process that converges to a solution of the original, unregularized equation.
The coefficients of the matrix corresponding to this regularized linear regression will be denote as (W^{reg}).
This regularized method was further investigated by Yao, Jiang and Liou [5], and Yao, Liou and Shahzad [6].
This regularized optimal control problem with the cost (27) has continuous extremal controls and it is therefore well suited to a continuation procedure.
Similar(48)
This finds regularized solutions (Tikhonov Regularization) to the two-dimensional inverse problem for MT data using the method of nonlinear conjugate gradients (NLCG) to minimize an objective function that penalizes data residuals and second spatial derivatives of resistivity.
In this case, the regularized variational inequality (6) may be unsolvable.
Situation 2: In this situation, the regularized parameter τ is heavily focused.
In this problem, the regularized solution is very accurate just with ϵ = 10 − 1, ϵ = 10 − 2 and ϵ = 10 − 3, respectively.
In this way the regularized unbounded-periodic Green's functions can be implemented in an FFT-based Poisson solver to obtain a convergence rate corresponding to the regularization order of the Green's function.
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