Sentence examples for optimal lower bound from inspiring English sources

It can even prove optimality, if the integer embedding solution is equal to the optimal lower bound provided by the linear relaxation of the master problem LP(M).

As a consequence we show optimal lower bound on the dimension of random almost spherical sections for these spaces.

The most frustrating open problem is existence of an optimal lower bound.

An optimal lower bound for α M is conjectured to be 1 / 3, according to the regularity exhibited by the solutions to the so called ∞ -Laplacean equation [4].

(64) What is the optimal lower bound (r(A,B)) for (int_{0}^{1} q(t),dt) so that any (qin Omega _{A,B}) is non-degenerate?

The variational parameters from the inference step provide the optimal lower bound to the log-likelihood of (x i,y i ), and maximizing the aggregate lower bound (sum _{i=1}^{mathcal {M}}mathcal {L}(gamma ^,phi ^,xi ^,alpha,Omega,eta)) over all data points with respect to α, Ω and η, respectively, yields the estimated parameters.

The optimal solution's lower bound is found through the optimal solution of the dual problem.

We show that online posted pricing mechanisms, which are incentive compatible, can achieve competitive ratios arbitrarily close to the optimal, and construct lower bound instances on which no online algorithms, not necessarily incentive compatible, can do better.

Our results indicate that our algorithms produce solutions which are always close to the optimal and/or the lower bound, and which scale well to large network sizes, large number of wavelengths, and high loads.

This is optimal, since a lower bound for processing a sequence of size L is trivially Ω(L).

The optimization problem is solved by dualizing the side constraint Eq. 12 on the objective function Eq. 11 using LR whose optimal value is a lower bound on the optimal value of Eq. 11.