Sentence examples for the reduction operator from inspiring English sources

The reduction operator also gives rise to an equivalent statement of the Invariant Subspace Problem.

No intersection is used and the influence of the reduction operator limiting to a tunable maximum the size of the matrices involved in the zonotopic set computations is fully taken into account in the LMI-based robust stability analysis.

The first one is a novel migration operator to mitigate the costs incurred on a cloud-based environment whereas the second operator is the pattern reduction operator [ 29, 30] to filter out the worst search directions.

Letting I be the ground truth, N be a white noise and V=I+N, we define the cost function for the noise reduction operator, mathcal{C}(mathbf{Psi},I =mathrm{E}left{{left | I-mathbf{Psi}(V) right |}_{2}^{2}right}, where E is the expectation taken over the noise distribution.

Two efficient operators are employed in this paper: (1) the novel migration operator is aimed to avoid wasting of the computation power and waiting for the other virtual machines on a cloud computing environment, and (2) the pattern reduction operator is aimed to enhance the search performance.

Following their basic approach, but making different choices of finite element spaces, [8] develops and analyzes other families of locking-free finite elements, which can eliminate the need for the introduction of a reduction operator.

To tackle the above problem, we first introduce a noise reduction operator, Ψ, which minimizes the estimation error of a cost function.

Our approach enables decoupling between deblurring and denoising during the restoration process, so allows any well-established noise reduction operator to be implemented in our model, independent of the VanCittert deblurring operation.

Secondly, our method enables decoupling between deblurring and denoising, so any well-established noise reduction operator can be selected in our model, independent of the VanCittert deblurring operation.

In this problem, selection operator, elitism, crossover operator, mutation operator, and recent reduction operator are determined in such a form that the algorithm reaches a proper result; for example, in a crossover operator (Figure 2), the crossover is done in the form of a single point with the probability of 0.8.

This makes it possible to control the noise amplification over a finite number of iterations by a noise reduction operator satisfying (6).