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1. The probabilistic distribution model of the relative mean square error was discussed, when its hydrodynamic parameters fluctuate around criterion value on the proportional distributing.

2. The method focuses on minimizing the ensemble mean square error of the estimation.

3. It performs better than widely used mean square error and peak signal to noise ratio.

4. The stopping time is chosen by minimal mean square error, signal-to-noise ratio and minimal correlation coefficient based on the information of the original (ideal) images and noises.

5. The least square solution and minimum mean square error(MMSE) solution for roundness error and spindle error was derived by measurement matrix in frequency-domain.

6. This thesis uses the Mean Square Error Method, and it constructs the Revised MSB criterion.

7. In a certain decoding state, the minimum mean square error(MMSE) is computed to estimate the optimized parameters and reduce the influence of the bit error adequately.

8. The total mean square error for gravity survey in mountainous region estimated by the present methods are usually too small to be convincing.

9. By the analysis with Absolute Mean Square Error it is correct that the conclusion is proved.

10. The minimum mean square error (MMSE) is computed for each decoding state to estimate optimal parameters and to reduce the influence of the bit error.

11. The experimental results demonstrate that the MSE (mean square error) reduced by this proposed approach decreases 30%- 60% than that by Laplacian pyramid and discrete wavelet transform approaches.

12. This algorithm can realize linear minimum mean square error estimation of yaw rate, and on-line estimate statistical characteristic of system noise and observation noise during vehicle running.

13. A new pre coding structure for Filtered Multitone (FMT) is designed according to the minimum mean square error(MMSE) criterion , while the precoding is performed on a per subchannel basis.

14. In this paper, a formula is proposed to calculate the total mean square error of GPS horizontal network by circuit closures of coordinate components.

15. Based on the model a grammatical pattern is constructed, and an algorithm for pattern recognition of wave peaks is designed by using mean square error norm.

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16. The results of the test data indicate that the prediction system is reliable and the root of mean square error is about 15%.

17. The influencing factors for errors in regression equation are discussed and the relations between mean square error of regression equation and its influence factors are deduced.

18. However, two-stage estimates of regression coefficients corresponding to these two estimates have approximate equal mean square error.

19. In the MCMA, adjusting the scale coefficients of two gradient vectors can improve the convergence rate and reduce residual mean square error.

20. Results show that the RBFNN is obviously superior to the traditional linear model, and its MAE (mean absolute error) and RMSE (root mean square error) are 41.8 and 55.7, respectively.

21. The convergence speed and misadjustment can be controlled separately using a complementary pair filters. And under the criterion of the least mean square error, the proportion of weight is adjusted.

22. In which, the information allocation factor was taken as a minimum mean square error(MMSE) based on observation error. In this way, the output information was fused optimally.

23. With covariance matching technique and innovation information of filtering, the noise variance is dynamically adjusted and the mean square error of the fusion system always keeps minimum.

24. There are many kinds of image fusion methods, such as information entropy, mutual information, mean square error, peak signal to noise ratio and mean grads.

25. In this dissertation, a line extraction method based on cubic polynomial interpolation and minimum mean square error fitting are proposed, which can effectively extract lines out.

26. In this paper, we present a method of fusing based on least mean square error(LMSE) and apply it on two SAR images with different resolution effectively.

27. On this basis, a design method of an optimal vector compandor with least mean square error criterion is derived.

28. In this paper, based on the error theory, the mean square error of elevation difference median in bilateral observation of subtend trigonometric distance measure is presumed.

29. By the method of transforming training sequences and calculating the mean square error of the demodulated signal in each subband branch, the optimal wavelet packet best-tree could be decided.

30. In comparison with traditional LMS algorithm, WO-LMS algorithm can achieve both lower steady mean square error and faster convergence speed.