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If the data have non-linear dependencies, an important issue is to develop a technique which takes higher order statistics into account and which can eliminate dependencies not removed by PCA.
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The efficiency of this algorithm makes it practical to refine the design of all coatings in the system simultaneously to take higher order terms into account.
Moreover, higher accuracy can be achieved by taking higher order approximations.
This problem can be diminished by taking higher order approximations to the isochrons and using this information in the construction of a higher order PRC [17].
Characteristic kernels have positive definite property and have been shown to be more discriminative, because they can take higher order statistics into account.
Hence, for such orbits (Lsim r_{A}/2) we need to take higher order corrections from (delta_{c}) into account, and (27) will have a more involved expression.
Since a single gene/protein is unlikely to affect a complex trait by itself, it would be more informative to take higher order cellular organization into consideration.
Under strong selection, this is no longer true, as we can have ρ A > ρ B despite ρ A ≫ 1/(nm) and ρ B ≪ 1/(nm) Our way to address arbitrary intensities of selection is very different from common approaches taking higher order terms in the intensity of selection into account.
The general method for computing the probability of observing a particular mutational configuration, k ¯, which is defined as counts of mutations on t ¯ and can be interpreted as the likelihood, has been described in detail previously (Lohse et al. 2011, equation 1) and involves taking higher-order derivatives of the GF of genealogical branches.
Taking a higher order derivative of a function just means you take the derivative of the derivative (for order of 2).
This level of organization might reflect some developmental requirement based on multicellularity, or could arise from the need for ERES to take on higher order organization in specific cell types such as muscle cells (Ralston et al. 2001) and neurons (Horton and Ehlers 2004).
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Justyna Jupowicz-Kozak
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