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The maximum mean square displacement and mean square strain are tabulated for Gaussian white noise excitation.
Several design criteria are extended to allow batch augmentation, including integrated and maximum mean square error, maximum entropy, and two expected improvement criteria.
The robust filtering problem is to find an estimator that minimizes the maximum mean square estimation error over the random parameter uncertainties and input and measurement noises.
The simulation results show that the uniformity of surface heat flux is improved effectively and the maximum mean square deviation of the external tube temperature drops from 32.4 °C to 23.6 °C after optimizing.
Suppose that the maximum embedding rate of an image when the embedding intensity is obtained as by using (28), then the maximum mean square error can be worked out according to method 2, which is described as follows.
It is possible to assimilate the de-noised signal to the estimator of the unknown regression function, therefore, the minimax estimator realizes the minimum of the maximum mean square error for the worst function in a certain set.
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As an alternative to the multiple error LMS algorithm (multichannel version of the filtered-X LMS algorithm, MELMS), the least maximum mean squares (LMMS) and the scanning error-LMS algorithm have been developed in this work in order to reduce computational complexity and achieve a more uniform residual field.
Finally, the filter was run with a maximum root mean square error of 0.002 and the maximum number of iterations of 250.
Various decoding methods, including maximum likelihood (ML), minimum mean square error (MMSE), and mixed ML-MMSE decoding algorithms, have been developed for these novel encoding schemes.
Maximum likelihood (ML) [73], linear minimum mean square error (LMMSE) [83], maximum a posteriori (MAP) [74], the variational approach [38, 76] and simulated annealing [77] are some of the techniques used.
For the whole set of Fenton and photo-Fenton experimental runs, the maximum root mean square error is 7.64%.
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