Sentence examples for bound on the approximation from inspiring English sources
We also provide a two-sided Hausdorff distance bound on the approximation.
This is an improvement over a recent upper bound of 2 (Ashlagi et al., 2010 [2]) and, furthermore, our mechanism beats for the first time the lower bound on the approximation ratio of deterministic truthful mechanisms.
From and in the above proof, the following result follows from Theorem 5. Corollary 6. MKVMP (and hence, MWKVMP) for is not approximable within for any, unless.
In this appendix we derive an upper bound on the approximation (hat {tilde {R}}_{u}) of (24) that can be calculated from the provided CSI feedback.
The approximation is constructed such that an a priori given upper bound on the approximation is satisfied, while introducing as less breakpoints as possible.
All methods except probabilistic black-box take as input a user-defined upper bound on the approximation error.
Moreover, our approximation algorithm shows a tight bound on the approximability of the problem for a specific family of instances.
Then, a robust feedback control based on MK-LSSVM modeling is presented and an improved update law is employed to estimate the unknown bound of the approximation error.
We then use random graph techniques to obtain, under a certain stochastic setting, an upper bound on the average case approximation ratio of a class of algorithms (including the proposed algorithm) for this problem as a function of the number of source nodes, and the hop count bound.
