Sentence examples similar to achieve approximations from inspiring English sources

Therefore, Algorithm 2 achieves approximation ratio of (frac{1}{c |D^+_I| mu _{max }} 1-frac{1}{e})) under the sub-additive assumption.

The general goal of the issue of moderately exponential approximation is to catch up on polynomial inapproximability by designing superpolynomial algorithms achieving approximation ratios unachievable in polynomial time.

Hence, for our envisioned use case of FD-MIMO systems with large N t and (left |mathcal {S}right |), the achieved approximation performance might not be satisfactory.

We use simulations to evaluate the proposed algorithms in terms of the achieved approximation ratio and computational complexity on hierarchical cache network topologies as a model of mobile backhaul networks.

This problem was shown to be NP-complete and achieving approximation ratios is no easier than computing optimal solutions.

To achieve numerical approximations having high precision and level of symmetry for radial manifold shapes, we develop spectral Galerkin methods based on hyperinterpolation with Lebedev quadratures for L2-projection to spherical harmonics.

The result of their work is twofold: on the one hand, they achieve an approximation order (0(h^5)) for the left method, on the other hand, they achieve another approximation of the order of (0(h^6)) for the right method.

The sternum was initially reduced using clamps to achieve necessary approximation.

The parameter learning phase adjusts the interconnection weights of neural network to achieve favorable approximation performance.

As a consequence, our cost sharing methods are simple and achieve attractive approximation ratios.

The conditions on the activation function required to achieve our approximation bounds are weaker than those required for interpolation.