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Differently, in [1], the authors consider the performance limits of the optimal maximum likelihood detector, while in [3] a soft-decision decoder is taken under consideration with Bayes optimal statistics at each iteration.
While the gating+ processing is not a requirement for creating CMIs, the approach of optimizing signal in frequency space readily prepares the signal to be visualized at a user-defined phase while maintaining optimal statistics.
Controlling all aspects of our input data we are able to identify the optimal statistics across multiple threshold values and for sequence sets containing different distributions of transcription factor binding sites.
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Different Kmer values were tested (Chikhi and Medvedev, 2014) and optimal summary statistics were obtained at higher Kmer values, up to 60, and beyond this value summary statistics deteriorated (Supplementary Tables S4 and S5).
Different criteria will lead to different optimal summary statistics.
The peaks formed by the excess variants (resulting from population admixture in the total SFS) decreased in size, and the values of optimal test statistics T Ω significantly decreased.
This problem arises in optimal design in statistics when one is interested in a subset of the parameters.
Our proposed method approximates the optimal weighted order statistics filters more rapidly than the adaptive neural filters.
This fact is particularly relevant not only for the simulation experiment, but also for order statistics, optimal grouping, inequality measures, heavy tail behavior analysis, loss distributions, oscillatory interpolation, and Q–Q plotting.
That means that due to insufficient knowledge about noise statistics, optimal estimators that minimize (1) may be less accurate than unbiased ones that are derived under the invariant E { x n − x ̂ n } = 0, which leads to the unbiasedness condition E { x ̂ n } = E { x n }, (2).
Taking the expected value of this performance metric with respect to either H ~ or both H ~ and H leads to the well-known L-optimality criterion for optimal experiment design in statistics [16].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com