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This is possible because of the invariant nature of the mutual information expression under unitary conjugation.
In this mutual information-based feature selection algorithm, the mutual information expression is adjusted by subtracting a quantity proportional to the average mutual information within the selected features.
Elemento et al. (2007) developed a powerful bioinformatic approach taking advantage of mutual information (expression information and overrepresentation of short DNA sequences upstream of potentially co-regulated genes) to predict several additional putative cis-regulatory elements [ 17].
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Next, we compute the various mutual information expressions to derive the achievable DM-tradeoff of the CF strategy.
The derivations of the mutual information expressions for the case of finite alphabets have been relegated to Appendix A for simplicity and lucidity.
Note that the first and second mutual information expressions in (B.1) are for the direct transmission between the source and destination, and direct transmission between the source and relay, respectively.
While the converse allows for all possible joint distributions of,, and, from the form of the mutual information expressions in (11), it suffices to consider distributions only of the form given by (12).
In order to facilitate calculation of the required mutual information expressions, we substitute (B.2) into (1) so as to obtain the received signal as a function of "private" and "common" symbols and respectively, (B.5).
Equation (6) specifies the mutual information formula.
An additional feature in StemBase is the correlation and mutual information of expression among the specified genes or probes.
Calculating the mutual information between GFP expression delays and cell history, we see that most (86%) of the short-term memory in the sporulation reporter can be recapitulated by reducing the trajectories to this single number (I(M; Initiation Delay)/Itrans(M Y ttrans = 11hrs) = 1.685/1.96 ≈ 0.86).
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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