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Some preliminary computer simulations show that in applications where is finite and random variables have small means and variances (like in auditing, where a typical value of is ), the asymptotic behavior is not related much to the behavior for small.
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Note that so up to a variance-like term the Lai and Robbins lower bound is.
model UCB attains a regret of and by Lai and Robbins' lower bound this is optimal (up to a multiplicative variance-like term).
The numerical constant in the UCB regret bound can be replaced by (which is the best one can hope for), and more importantly by slightly modifying the derivation of the UCB one can obtain the Lai and Robbins variance-like term (that is replacing by ): see Cappe, Garivier, Maillard, Munos and Stoltz.
Across product means, the concentration variables explained 52% of the variance in liking in main effects multiple regression.
He raps quickly in a thick, gluey voice, with little tonal variance, like endlessly striking one key on the piano.
Here is (an elaboration of) the "global model with exceptions" : Hoss, do you have a use case requiring Store and Index variance like this? a single value and storing multiple values in a different doc.
The point cloud denoised using [27] contains much less variance than the noisy point cloud, especially in background, but in the regions that have higher noise variance, like the hair of the woman, noise is still significant.
In the previous section, we observed that the prediction approach of Kansal do not work very well on a data-set that has a high variance, like the data-set 1.
In addition, if it is required to control the risk by minimizing the variance like (V[f xi_{1}, xi_{2}, ldots, xi_{n})]) in decision-making problems, we can turn to minimizing (overline{V}[f xi_{1}, xi_{2}, ldots, xi _{n})]) substitutively, which can not only achieve the same effect, but also greatly reduce the calculation process simultaneously.
Therefore, the challenge is to maintain the advantages of the decorrelating detector and overcome its deficiencies, that is, to lower its computational complexity and combat the noise enhancement effect but without requiring the knowledge of the noise variance, like the linear minimum mean square error (LMMSE) detector.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com