Sentence examples for is a regularizing from inspiring English sources

Moreover, we set (R=[varphi(|x"|),P]A_{s}), which is a regularizing operator.

The first term in the energy is a regularizing term, and the second one is a fidelity term.

Let ((rho, mathbf{u})) be a finite energy weak solutions to the problem (1 - 3) and S_{varepsilon}[v]=vartheta_{varepsilon}ast v, quadtextit{where } vartheta _{varepsilon}=vartheta_{varepsilon}(x textit{ is a regularizing sequence}.

Therefore, we have begin{aligned} C_{s+1}u =& Ru & + frac{1}{(2pi)^{n-m}} int_{mathbb{R}^{n-m}} e^{i x" cdot xi"} bigl( 1- chibigl(bigl| xi bigr|bigr) bigr) cbigl x,xi" bigr) widehat{u}bigl(x_{0},x',xi" bigr),dxi", end{aligned} where R is a regularizing operator.

(29) Let us compute begin{aligned} Vert partial_{x_{0}} v_{s} Vert geq& Vert partial_{x_{0}} A_{s} u Vert - biglVert ( varphi- 1) partial_{x_{0}} A_{s} u bigrVert =& Vert partial_{x_{0}} A_{s} u Vert - Vert Ru Vert, end{aligned} (30) where ((varphi- 1) partial_{x_{0}} A_{s} =R) is a regularizing operator.

Rockafellar [36] proved that the proximal point algorithm defined as follows: x_{k+1}= biggl(I+ frac{1}{lambda_{k}}A biggr)^{-1}(x_{k}) + e_{k},quad x_{1}in H, (5.1) where (lambda_{k}>0) is a regularizing parameter; converges weakly to a solution of (0in Au) where A is the subdifferential of a convex functional on a Hilbert space provided a solution exists.

Image reconstruction was achieved by iteratively solving an unconstrained minimization problem where X is the fluorescent image, and H is a cost function regularizing the reconstruction.

The probability P I (X i ) of selecting the i-th gene X i is defined such that miRNAs or mRNAs with high MI are selected more frequently: (10) P I X i = I X i ; Y η ∑ X i ∈ X I X i ; Y η, where I(X i ;  Y) denotes the MI between the i-th genetic factor and the cancer stage, and η is a nonnegative constant that regularizes the influence of MIs on the gene selection.

This follows from the definition of as the ratio of methylated to combined intensity values, i.e (1) where and are the unmethylated and methylated intensity values of the probe (averaged over bead replicates) and is a small correction term to regularize probes of low total signal intensity (i.e. probes with after background subtraction).

Therefore, from this perspective, reducing the vehicle speed before it entering the curve entry is an effective measure to regularize the track behavior of passenger cars.

Subsequently, we pose the problem for design of experiments as a bilevel program, which is regularized in order to be well-posed.