Sentence examples for by the approximation error from inspiring English sources

This error bound is determined by the approximation error of the estimation for the optimal cost and the approximation error of the controller function estimator.

The first one is concretely determined by the approximation error of the data-driven dynamic programming (DP) operator to the DP operator and the approximation error of the value function estimator.

The reference (widetilde {Q}_{m}(a^{mathcal {H}})) has the same fluctuation monotonicity as (widetilde {Q}_{m}(a)), which is caused by the approximation error due to the limited number of trajectories.

It is seen that the performance of the model-based exhaustive search almost coincides with that of the optimal assignment, while the tiny gap is caused by the approximation error of the rejection probability approximation model.

a The energy of the error vector e0 is bounded by ∥ e 0 ∥ 2 ≤ ( 1 + δ K ) ∥ α Ω 1 ∥ 2 + ∥ n ∥ 2 ; as will be clarified in the following, such error, in the HCoSaMP convergence, plays much the same role played by the approximation error in the CoSaMP convergence on non-sparse, compressible signals.

FRCC_DEP is a comparison between current conditions and historical reference conditions [19] and was constructed by calculating the approximation error between current vegetation data vectors and historical simulated vegetation conditions [20].

FRCC_DEP is a comparison between current conditions and historical reference conditions [ 19] and was constructed by calculating the approximation error between current vegetation data vectors and historical simulated vegetation conditions [ 20].

A collection of training vectors corresponding to the dictionary vector in its approximation are taken by minimizing the Frobenius norm of the approximation error by solving for the dictionary vector at each iteration.

In comparison with the true IUCT calculated by the trochoidal tooth trajectory model, the approximation error introduced by the circular assumption is negligible while the computational efficiency improves a lot.

The proposed scheme has the advantage that can guarantee the H∞ tracking performance to attenuate the lumped uncertainties caused by the unmodelled dynamics, the approximation error and the external disturbances.

Denote by y k a an approximation to the functions y ˜ k and by y k v the approximation error bounds: y k a ( t ) = ∑ q = 1 m + 1 χ q ( t ) q a y k ( t ), v y k ( t ) = ∑ q = 1 m + 1 χ q ( t ) q v y k, t ∈ [ 0, T ], y k q v ≥ ∥ y ˜ k ( n ) − q a y k ( n ) ∥ L p 1 [ t q − 1, t q ], k = 1, …, m n + n.