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A simple algorithm based on minimal cuts (or named MC-based algorithm) is then presented to generate all upper boundary points in order to evaluate the performance index.
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We will first use time-series segmentation in order to identify the segment boundary points in each univariate time-series.
In addition, we consider artificial boundary conditions at the limit point 0 in order to avoid the perturbations on the behavior of the solutions caused by the boundary conditions.
Let's take the points in order.
Write your points in order of importance.
One must form many grid points near the boundary in order for the numerical solution to be accurate.
Another viewpoint of Eq. (23) is to apply the rectangle method (using the left boundary point of the integral) in order to approximate the convolution-based formula Eq. (8) in the form begin{aligned} Q(t+Delta t)=&vartheta(Delta t)Q t)+kappa(Delta t P t) &+ int _{t}^{t+Delta t} kappa(t+Delta t-s) Gbigl s,Q(s) bigr),ds & + int_{t}^{t+Delta t} kappa(t+Delta t-s) varSigma(s),dW(s).
Symbols ⊗ in Eqns A1– A4 denote spatial convolution with cyclic boundary conditions in order to avoid boundary effects.
Hysteresis thresholding [ 26] is applied next in order to remove all weak boundary points that are not connected to strong boundary points.
We consider for example (boldsymbol {Omega}=mathopen-infty,0[) (the same calculations remain true for a positive half-line choice of Ω). The equation is endowed with a non-standard boundary condition at the point 0 in order to avoid the perturbations of the solutions caused by the boundary ({0}).
The stored boundary points are evaluated through a new reallocation algorithm of points in mesh in order to compare each point with the remaining points included in the higher order hierarchy demolding zone.
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