Recent advances, which justify involvement of multipoint and high order correlation functions, are presented.
Improved bounds, which were developed later and are tighter than the traditional Hashin-Shtrikman bounds, depend on high order correlation functions rather than volume fractions.
In terms of the modeling, the extended Kalman filter (EKF) algorithm is used to train the parameters inside the ELNSS model, where a high order correlation method is applied to validate the estima ted model.
Third, we allowed high order correlations between the amino acid positions in the binding peptides.
Unlike most methods in the literature determining the network structure with an arbitrary threshold of pairwise correlation, we are more interested in studying high order correlations.
Natural stimuli are intricately structured and light dark asymmetric (Geisler, 2008), and a variety of low and high order correlations characterize motion in such an environment.
However, even in the approximation of pair interaction, higher order correlation functions are of interest.
When the dot is subjected to an externally applied magnetic field, one must consider the antisymmetrized version of Equation 4 using A−=A B − A −B, where A can be G, S, or higher order correlation functions ( C − ( 0 ) = 0 for an energy-independent scattering matrix as in our system).
In addition, the major chromosomal changes that have occurred in the X chromosome also leave their distinctive signatures, either by variation in the nucleotide composition or by a characteristic pattern of nucleotide usage, which can be observed as a specific higher–order correlation.
A linear kernel k(x i, x j) = 〈 x i, x j〉 was chosen for the SVM, as higher order correlation functions could easily lead to overinterpretation of the data, given the unfavorable ratio of features and replicates.
The paper starts by introducing 4 models that are elaborations of the Reichardt detector: (1) multiple channels that explicitly construct higher order correlation statistics, (2) A static front end nonlinearity, (3) separate correlations between lights and darks, (4) nonlinear combination through operations other than multiplication.
