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The initial level set function in (b) is regularized using the regularization functional R, and the final, regularized level set function in (h) is obtained.

The resulting system of linear algebraic equations is ill-conditioned and therefore its solution is regularized by employing the zeroth-order Tikhonov functional, while the choice of the regularization parameter is based on the L-curve method.

From Opus 3 onward the four-movement form is regularized, and in Opus 9 thematic materials begin to reveal details that point to the future.

A new method is developed for the integration of singular integrals, in which the Green's function is regularized and an efficient local correction to the trapezoidal rule is computed.

The error-bars shown in Fig. 7 are known to be underestimated (Lowes and Olsen, 2004) and furthermore the model inversion process is regularized.

The original cost functional is regularized using surface and bulk energy terms.

where C = γ RS Ω R,A γ BS Ω BS,A, D = 1 γ Ω BS ,R+ 1 γ RS Ω R,B and A 2 F ~ 1 is regularized Hypergeometric function.

This constraint is regularized by including a compact and linear operator S to guarantee existence of solutions.

The proposed encoder is regularized by an extension of previous work on contractive regularization.

6. Ensure that all Americans have access to mental health care and that for minorities suffering from mental illness, racial PTSD is regularized as part of diagnostic assessment.

The original sparse representation problem is regularized with a properly designed weighted ℓ1 minimization and effectively solved with existing solver.

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