Sentence examples for bounds on the approximation from inspiring English sources

Classes of nonlinear dynamical systems that are universally approximated by such models are characterized, which include rigorous upper bounds on the approximation errors.

We derive lower bounds on the approximation errors in terms of the number of Boolean function evaluations.

Upper bounds on the approximation error are derived that depend on the Rademacher complexities of the families.

Subsequently, we derive worst-case bounds on the approximation of the optimum social welfare achieved in (strong) equilibrium by the mechanism.

Bounds on the approximation error of the SDR techniques have been developed in [36], which was motivated by the work in [34].

An upper bound of the approximation error is derived in the sense of the supremum norm.

We derive Chen Stein error bounds for the approximation.

These permutations can be used to obtain lower bounds on the theoretical approximation ratios of Algorithms 2 and 5.

We present a generalization of gamblets introduced in [62] enabling the resolution of these implicit systems in near-linear complexity and provide rigorous a-priori error bounds on the resulting numerical approximations of hyperbolic and parabolic PDEs.

The papers [14, 40] give the bounds on approximation in terms of the number of neurons.

Based on the error bounds, one can precompute the approximation errors and select an appropriate overlap scheme before running the analysis.