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The other is rich in image details and regularized by the nonlocal TV term.
The mathematical formulation is described by an ill-conditioned system of non-linear equations, which is regularized by the TSVD method.
The solution of a Fredholm integral equation of the first kind which is, in general, an ill-posed problem, can be regularized by the maximum entropy method (MEM ).
In the sense of AME, F35-NMF performs worse as the purity level decreases, because the algorithm is regularized by the maximum spatial dispersion constraint, which improves the values of AME for the mixing data with high purity level.
The Jacobian matrix of the Newton-iteration is regularized by the local residual, instead of using the commonly adopted time-stepping relaxation technique based on the local CFL number.
Further, the TSSG tracker is novel in exploiting the sparsity present in the grid-based state vector, which allows one to leverage efficient solvers of (weighted) least-squares (LS) minimization problems regularized by the ℓ1-norm of the desired state estimate.
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The expression values were regularized by adding the noise to the expression of each gene before the ratios were calculated.
Noise data solutions are regularized by stopping the iterations with the discrepancy principle of Alifanov, before the high frequency components of the random noises are reproduced.
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.
The magnetic field inverse problem was implicitly regularized by setting the maximum SH degree, selecting the quadratic time basis functions, and ensuring that the chosen time window and the data distribution were compatible with these settings.
An entropy-bounded Discontinuous Galerkin (EBDG) scheme is proposed in which the solution is regularized by constraining the entropy.
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