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These transforms are used to solve the problem at the root of all Poisson counting processes, specifically, that data variance scales with the number of counts.
These expressions show that the estimation error variance scales linearly with the DoA estimation variance and quadratically with the target distance.
Computer simulations [35] in this Bernoulli model show that the amplification variance scales with the peak height y, an estimate of DNA quantity.
Sample sizes were calculated by fitting an empirical function to the results of previous studies [23] to determine how the % relative standard deviation (%RSD; equivalent to the coefficient of variance) scales with the number of positive individuals sampled.
As in Bar-Even et al. (2006), we find that protein expression variance scales roughly linearly with mean protein expression (Fig. 2).
For the case of the mouse retina data, we consider maximum link probability p m a x ∈ { 0.95, 0.9, 0.7 }, variance scales for the synapse density profile of σ 2 ∈ { 0.01, 0.1, 1.0 } (of normalized depth), and K ∈ { 2, 3 } possible synapse density profile mixture components.
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The data was subsequently log transformed, centered and unit variance scaled.
The Finite Variance Scaling Method (FVSM), Higuchi method, rescaled range (R/S) and a generalized method have been applied to calculate the scaling exponents and fractal dimensions of the time series.
An analysis of deviance associated with this model, with the variance scaled to allow for overdispersion, was used to determine significance of pruning in relation to the presence of N. fuckeliana.
In this paper, a novel anisotropic adaptive variance scaling (AAVS) technique is proposed to improve the performance of traditional GEDAs and a new GEDA variant named AAVS-EDA is developed.
The advantages of AAVS over the existing variance scaling strategies lie in its ability for tuning the variances and main search direction of GEDA simultaneously, which are achieved by anisotropically scaling the variances along different eigendirections based on corresponding landscape characteristics captured by a simple topology-based detection method.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com