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The maximum weight submatrix problem is defined as selecting a submatrix M of size m × k in the mutation matrix A by calculating maximizing the scoring function: (1) W (M ) = | Γ (M ) | − ω (M ) = 2 | Γ (M ) | − ∑ g ∈ M | Γ (g ) |, where Γ(g) = { i : A ig = 1} denotes that gene g in ith row (sample) is mutated.
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The embedding strategy should look for the coordinates maximizing the score under the constraint that.
The novelty of this method is that we use a probabilistic framework designed to evaluate the registration of faces, instead of maximizing the score of a face recognition method, which might not be suited for comparing unregistered face images.
The seed PWM is extended to full motif width and sites maximizing the score to the extended PWM are selected, one in each positive sequence.
In terms of maximizing the score function g(s) for N2, we introduce the additional binary variable γ i such that γ i = - β i.
In the novel algorithm PARSE, we overcome the limitations of PMcomp, maximizing the score of Equation (1) with the full flexibility of Sankoff's specification in terms of dependencies between alignment and predicted structures.
(i) Sites (one per sequence in P ) maximizing the score to the extended weight matrix are selected and (ii) a revised full length PWM is built from those sites.
In the maximization step, we maximize the scoring function S (R k ) = ∑ m = 1 | T F | ∑ n = 1 | G | Γ (I m ) for each regulatory module R k, which measures how the interaction of each TF in R k matches the target gene expression changes.
The goal of the refinement process is to maximize the scoring function by following the direction of a few low-frequency normal modes.
"The American style is about executing elements to maximize the score, rather than considering a routine as a whole".
Recalling Equation 5, we want to maximize the score for the correct tag sequence at the expense of the scores for all others.
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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