Sentence examples for error expansion from inspiring English sources

It discusses the difference expansion and the prediction error expansion method from five versions in detail.

Another type of improvement called prediction error expansion (PEE) has exceeded the DE-based methods.

Embed a bit into the prediction error value using the prediction error expansion and histogram shift method.

Now, taking Example 4.3 for example with (l=1), we will obtain the quadrature formula and its error expansion.

Extract a bit out of the modified prediction error value using the prediction error expansion and histogram shift method.

After that, prediction error expansion (PEE) was proposed by Thodi and Rodriguez [4] as a generalized form of difference expansion.

The quadrature formulas and error expansions of (3.1) have been given in the front part of this section.

In a consideration of the non-periodic functions (g(x)) of all the numerical examples above, we can periodize the functions by a (sin^{p}) transformation [12] to take away some terms of the error expansions.

In the present paper, it is shown that convergence in the boundary vorticity is actually second order for steady problems and for time-dependent problems whent> 0. The result is proved by looking carefully at error expansions for the discretization which have been previously used to show second-order convergence of interior vorticity.

The derivations of the global error expansions for SDEs and discrete stochastic methods and related material are presented in the Appendix.

This work aims at reducing the embedding distortion of prediction-error expansion (PE -based reversible watermarking.