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Statistical enrichment of the specific functional links among a set of mutation pairs selected by the sequential approximation procedure was assessed using the standard hypergeometric test.
This may be due to experimental variability, such as differences in growth or screening conditions when measuring the strains carrying either single or double mutations, which may be beyond the capacity of the standard data pre-processing but can be normalized by the sequential approximation procedure.
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The second set of estimates was obtained by stopping the sequential approximation procedure at a given subset size, k, and by using the estimate of Eq. 3 in place of the measured single-mutant fitness vector w in the definition of the deviation in Eq. 1.
The sequential approximation procedure gives as its by-product a surrogate for the deviations in the form of the residual errors of Eq. 4.
The quadratic model of RSM associated with the sequential approximation optimization (SAO) method was used to find optimum values of machining parameters.
An adaptive version of such a forward floating selection method was applied here because of its low computational complexity and because it was capable of excluding the most prominent outliers during the sequential approximation process (Fig. 1).
Additional modifications to enhance the present framework either in biological and/or computational terms include using deviations from the expected fitness as weights in the least squares approximation and using the sign of the deviations when including or excluding a mutation pair over the course of the sequential approximation process.
The sequential approximations can efficiently remove background variation in the double-mutation screens and give increasingly accurate estimates of the single-mutant fitness measurements.
This paper presents an open and integrated framework that performs the structural design optimization by associating the improved sequential approximation optimization (SAO) algorithm with the CAD/CAE integration technique.
The method is based on a recently developed sequential approximation (SA) method, which approximates a target function using one data point at each step and avoids matrix operations.
From the condition of the theorem, we have u ( 0 ) ( t ) and v ( 0 ) ( t ) ∈ B. We will prove that the other sequential approximations satisfy this condition.
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